Physics final (Exam 2 ch 5-9)

How many revolutions per second are needed for a centrifuge to produce an acceleration of 1 200g at a radius arm of 15.0 cm? 0.0280 rev/s 44.6 rev/s 14.2 rev/s 6.68 rev/s

b. 44.6 rev/s

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon. If the value of g on Io is 2.0 m/s2, estimate the speed with which the liquid sulfur left the volcano.

b. 530 m/s

An asteroid has a perihelion (the orbit's closest approach to the Sun) of 1.5 AU and a period of revolution of 8.0 yr. What is its greatest distance from the Sun (its aphelion)? 8.0 AU 6.5AU 4.0 AU 6.0 AU

b. 6.5 AU

A horizontal force of 85.0 N is applied to move a 46.0-kg cart across a 4.0-m level surface. What work is done by the 85.0-N force? 7.4E+0 J 1.6E+4 J 3.4E+2 J 9.8 E+2 J 4.6E-1 J

c. 3.4E+2 J

Calculate the linear speed due to the Earth's rotation for a person at the equator of the Earth. The radius of the Earth is 6.40 × 106 m. 740 m/s 74.0 m/s 465 m/s 73.0 m/s

c. 465 m/s

A horizontal force of 200 N is applied to a 55.0-kg cart across a 15.0-m level surface. If the cart accelerates at 2.0 m/s2, then what is the work done by the force of friction as it acts to retard the motion of the cart? -4.7E+3 J -1.4E+3 J -3.0E+3 J -9.0E+1 J -3.1E+2 J

-1.4E+3 J

Starting from rest, a wheel undergoes constant angular acceleration for a period of time T. At what time after the start of rotation does the wheel reach an angular speed equal to its average angular speed for this interval? 0.25T 0.50T 0.67T 0.71T

0.50T

A 75.0-kg swimmer dives horizontally off a 465-kg raft initially at rest. If the diver's speed immediately after leaving the raft is 5.00 m/s, what is the corresponding raft speed? 31.0 m/s 375 m/s 0.806 m/s 1.24 m/s 5.00 m/s

0.806 m/s

A 2 900-kg truck moving at 11.0 m/s strikes a car waiting at a traffic light, hooking bumpers. The two continue to move together at 7.00 m/s. What was the mass of the struck car? 4 750 kg 7 460 kg 1 760 kg 1 660 kg 4 560 kg

1 660 kg

The water behind Grand Coulee Dam is 1 000 m wide and 200 m deep. Find the hydrostatic force on the back of the dam. (Hint: the total force = average pressure × area) 3.92E+11 N 2.26E+11 N 1.96E+11 N 1.66E+11 N ​1.18E+9 N

1.96E+11 N

The pressure inside a commercial airliner is maintained at 1.00 atm (105 Pa). What is the net outward force exerted on a 1.0 m × 2.0 m cabin door if the outside pressure is 0.30 atm? 140 N 1 400 N 14 000 N 140 000 N

140 000 N

A soccer ball (mass = 0.43 kg) is moving at a speed of 20 m/s when it is kicked with a force of 300 N resulting in it going in the opposite direction with the same speed as before. What is the magnitude of the impulse delivered to the ball? 0, because the before and after momenta cancel each other. 8.6 kg·m/s 17 kg·m/s 2 600 kg·m/s

17 kg·m/s

Rupel pushes a box 7.00 m by applying a 25.0-N horizontal force. What work does she do? 3.57 J 0.280 J 175 J -175.0 J 25.0 J

175 J

A 20.0-g bullet moving at 1 000 m/s is fired through a one-kg block of wood emerging at a speed of 100 m/s. If the block had been originally at rest and is free to move, what is its resulting speed? 22.0 m/s 18.0 m/s 20.0 m/s 2.00 m/s 45.0 m/s

18.0 m/s

If both mass and velocity of a ball are tripled, the kinetic energy is increased by a factor of: 3. 6. 9. 27.

27

A piece of aluminum has density 2.70 g/cm3 and mass 769 g. The aluminum is submerged in a container of oil (oil's density = 0.650 g/cm3). How much oil does the metal displace? 285 cm3 185 cm3 438 cm3 2 080 cm3 3 190 cm3

285 cm3

A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2. What is the centripetal acceleration of a point on the outer edge of the tire after 5.0 s? 300 m/s2 33 m/s2 30 m/s2 3.0 m/s2

30 m/s2

An object of mass m moving at speed v0 strikes an object of mass 2m which had been at rest. The first object bounces backward along its initial path at speed v0. Is this collision elastic, and if not, what is the change in kinetic energy of the system? The collision is elastic.v The kinetic energy decreases by mv2. The kinetic energy decreases by mv2/2. The kinetic energy increases by mv2.

The kinetic energy increases by mv2.

A figure skater with arms initially extended starts spinning on the ice at 3 rad/s. She then pulls her arms in close to her body. Which of the following results? a smaller rotational rate a greater rotational rate a greater angular momentum a smaller angular momentum

a greater rotational rate

Two billiard balls have velocities of 4.0 m/s and -1.0 m/s when they meet in an elastic head-on collision. What is the final velocity of the first ball after collision? +4.0 m/s -1.0 m/s +1.0 m/s +5.0 m/s -3.0 m/s

b. -1.0 m/s

2 600 rev/min is equivalent to which of the following? 2600 rad/s 43.3 rad/s 272 rad/s 60 rad/s

c. 272 rad/s

an altitude- rip accidentally deleted the rest of the question

c. g/25.

A uniform rod of length L and mass M is pivoted about one end. Attached to the rod is a mass M at its midpoint and at the end opposite the pivot is another mass M. What is the moment of inertia of this configuration about the pivot? 4ML2/3 3ML2 7ML2/12 19ML2/12

d. 19ML2/12

Which state of matter is associated with the very highest of temperatures? liquid plasma gas solid

plasma

The rate at which work is done is equivalent to which of the following? increase in potential energy thermal energy potential energy power

power

A billiard ball collides in an elastic head-on collision with a second identical ball. What is the kinetic energy of the system after the collision compared to that before collision? the same as one fourth twice four times

the same as

The quantity of work equal to one joule is also equivalent to which of the following? watt watt /s watt ⋅ s watt /s2

watt ⋅ s

A jet of water flowing from a hose at 18 m/s is directed against a wall. If the mass flow in the fluid stream is 2.0 kg/s, what force is the water applying to the wall if backsplash is negligible? 36 N 0.11 N 38 N 350 N 34 N

36 N

A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20.0 s. It is then turned off and coasts to a stop in 40.0 s. In the 60.0 s of rotation, through how many revolutions did the fan turn? 251 377 126 188

377

A girl and her bicycle have a total mass of 46.0 kg. At the top of the hill her speed is 6.0 m/s, and her speed doubles as she rides down the hill. The hill is 15.0 m high and 105 m long. How much kinetic energy and potential energy is lost to friction? 4.3E+3 J 7.6E+3 J 3.5E+3 J 4.4E+3 J 4.2E+3 J

4.3E+3 J

A boat with mass 950 kg is heading into the harbor at a speed of 10.0 m/s. How much work is required to slow the boat to 1.0 m/s? 2.3E+4 J 9.4E+4 J 4.3E+3 J 4.7E+4 J

4.7E+4 J

What is the total mass of the Earth's atmosphere? (The radius of the Earth is 6.4 × 106 m, and atmospheric pressure at the surface is 105 N/m2.) 5 × 10^16 kg 1 × 10^18 kg 5 × 10^18 kg 1 × 10^20 kg

5 × 10^18 kg

A meter stick is hinged at its lower end and allowed to fall from a vertical position. If its moment of inertia is ML2/3, with what angular speed does it hit the table? 5.42 rad/s 2.71 rad/s 1.22 rad/s 7.67 rad/s

5.42 rad/s

A crane drops a 0.250-kg steel ball onto a steel plate. The ball's speeds just before impact and after are 4.00 m/s and 3.70 m/s, respectively. If the ball is in contact with the plate for 0.035 s, what is the magnitude of the average force that the ball exerts on the plate during impact? 55.0 N 2.14 N 28.6 N 26.4 N 1.93 N

55.0 N

A Hooke's law spring is compressed 12.0 cm from equilibrium and the potential energy stored is 52.0 J. What is the spring constant in this case? 7 220 N/m 3 610 N/m 72.2 N/m 0.722 N/m No answer is correct.

7 220 N/m

A spool of thread has an average radius of 1.00 cm. If the spool contains 47.5 m of thread, how many turns of thread are on the spool? "Average radius" allows us to not need to treat the layering of threads on lower layers. 15.1 756 149 7.56

756

A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.80 × 10−2 kg·m2, and a radius of 0.100 m. If it rolls down the lane without slipping at a linear speed of 4.00 m/s, what is its total kinetic energy? 78.4 J 22.4 J 56.0 J 40.0 J

78.4 J

If the mass of Venus is 0.786 times that of Earth, and its radius is 0.950 that of Earth, estimate the gravitational acceleration g at the surface of Venus. (gearth = 9.80 m/s2) 7.31 m/s2 3.73 m/s2 8.27 m/s2 8.53 m/s2

8.53 m/s2

A syringe has an inside radius of its barrel of 0.50 cm and at the opening at the end of the needle the radius is 1.0 mm. If a force F is applied to the plunger, what is the force produced at the opening of the needle? 5F 25F F/5 F/25

F/25

If during a given physical process the only force acting on an object is friction, which of the following must be assumed in regard to the object's kinetic energy? It decreases. It increases. It remains constant. It cannot be determined from the information given.

It cannot be determined from the information given.

I drop a 55-g golf ball from 2.50 m high. It rebounds to 1.65 m. How much energy is lost? 0.46 J 4.6 J 0.51 J 0.41 J 0

0.46 J

A stonecutter's chisel has an edge area of 0.50 cm2. If the chisel is struck with a force of 45.0 N, what is the pressure exerted on the stone? 9.0E+2 Pa 9.0E+3 Pa 9.0E+4 Pa 9.0E+5 Pa 4.5E+5 Pa

9.0E+5 Pa

A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum speed can the mass have if the string is not to break? 370 m/s 22 m/s 19 m/s 29 m/s

29 m/s

A 1 000-kg sports car accelerates from zero to 25 m/s in 7.0 s. What is the average power delivered by the automobile engine? 8.9E+4 W 1.8E+3 W 4.5E+4 W 1.8E+5 W 5.4E+4 W

4.5E+4 W

A reading of a tire gauge tells you that the gauge pressure in a tire is 31 lb/in2. What is the absolute pressure in the tire? Assume that atmospheric pressure is 14 lb/in2. 17 lb/in2 59 lb/in2 45 lb/in2 You can't be sure since you may have nitrogen-filled tires.

45 lb/in2

What is the minimum amount of energy required for a 60.0-kg climber carrying a 18-kg pack to climb Mt. Everest, 8 250 m high? 6.3E+6 J 3.4E+6 J 4.9E+6 J 6.4E+5 J 3.5E+5 J

6.3E+6 J

Water flows over a section of Niagara Falls at a rate of 1.30 × 106 kg/s and falls 52.0 m. What is the power dissipated by the waterfall? 6.6E+8 W 6.8E+7 W 4.0E+7 W 5.3E+8 W 8.6E+6 W

6.6E+8 W

A 7.50-kg bowling ball strikes a 5.20-kg pin. The pin flies forward with a velocity of 4.00 m/s; the ball continues forward at 5.50 m/s. What was the original velocity of the ball? 11.3 m/s 8.27 m/s 0.128 m/s 1.34 m/s 4.61 m/s

8.27 m/s

A mover pushes a box of mass m = 56.0 kg along a horizontal floor a distance d = 2.50 m. The constant force exerted on the box by the mover makes an angle of 27.0° directed below the horizontal. Assume the floor is frictionless. If the work done by the mover is W = 200 J, what is the force exerted by the mover? 89.8 N 549 N 616 N 176 N

89.8 N

A miniature, spring-loaded, radio-controlled gun is mounted on an air puck. The gun's bullet has a mass of 6.00 g, and the gun and puck have a combined mass of 130 g. With the system initially at rest, the radio-controlled trigger releases the bullet, causing the puck and empty gun to move with a speed of 0.500 m/s. Of the total kinetic energy of the gun-puck-bullet system, what percentage is in the bullet? 4% 98% 96% 23% 100%

96%

The work done by static friction can be: positive. negative. zero. Any of the above.

Any of the above

When a Hooke's law spring is stretched a distance 3x, how much is the increase in energy stored in it from when it was stretched a distance x? Give your answer in terms of a multiple of the energy stored in the spring when it is stretched a distance x. It is 3 times as much. It is 8 times as much. It is 4 times as much. It is 9 times as much.

It is 9 times as much

For a point on a spinning disc in uniform circular motion, which of the following is not constant? Its angular speed. Its angular acceleration. Its centripetal acceleration. The magnitude of its total acceleration.

Its centripetal acceleration.

As ice floats in water, about 10% of the ice floats above the surface of the water. If we float some ice in a glass of water, what will happen to the water level as the ice melts? The water level will rise 10% of the volume of the ice that melts. The water level will rise, but not as much as the 10% indicated in answer a. The water level will remain unchanged. The water level will become lower.

The water level will remain unchanged.

An observation satellite for mapping purposes is placed in a low Earth orbit. In order to see the whole surface of the Earth, which would be the preferred orbit? an equatorial orbit a polar orbit an orbit inclined 45° to the equator It doesn't matter since the Earth turns completely every 24 hours.

a polar orbit

Which of the following is an example of a nonconservative force? gravity magnetism friction Both choices A and B are valid.

friction

The unit of power, watt, is dimensionally the same as: joule-second. joule/second. joule-meter. joule/meter.

joule/second

A suitcase is sitting on a horizontal conveyor belt, which is moving at speed v. The work done by the frictional force on the suitcase is positive. negative. zero. impossible to determine without knowing the mass of the suitcase.

positive

A hoop, a solid sphere, and a solid cylinder each have the same mass, radius, and initial speed and are going up the same inclined plane. Which one goes the farthest? the hoop the sphere the cylinder All go the same distance.

the hoop

In an inelastic collision between two objects with unequal masses: the velocity of one will increase by the amount that the velocity of the other decreases. the momentum of one will increase by the amount that the momentum of the other decreases. the energy of one increases by the amount that the energy of the other decreases. the total momentum of the system will decrease.

the momentum of one will increase by the amount that the momentum of the other decreases.

Is it possible for the total mechanical energy of a moving particle to be negative? No, because a moving particle has positive kinetic energy. No, because potential energy cannot have a value more negative than the value of the positive kinetic energy of the particle. Only if friction is involved. yes

yes

A hill is 150 m long and makes an angle of 12° with the horizontal. As a 60-kg jogger runs up the hill, how much work does gravity do on the jogger? 8.82E+4 J 1.83E+4 J −1.83E+4 J 8.63E+4 J zero

−1.83E+4 J

When an object is dropped from a tower, what is the effect of the air resistance as it falls? does positive work increases the object's kinetic energy increases the object's potential energy None of the above choices are valid.

None of the above choices are valid

A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s interval at a rate of 0.040 rad/s2. What is its angular speed after this 7.0-s interval? 0.20 rad/s 0.30 rad/s 0.46 rad/s 0.78 rad/s

0.78 rad/s

A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.050 m. How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.250 m/s? 5.00 rev/s 7.85 rev/s 1.59 rev/s 0.80 rev/s 3.18 rev/s

0.80 rev/s

A hole is poked through the metal side of a drum holding water. The hole is 16.0 cm below the water surface. What is the initial speed of outflow? 1.77 m/s 17.7 m/s 0.566 m/s 3.14 m/s 1.25 m/s

1.77 m/s

The SI units for viscosity are N·s/m2. Another commonly used unit for viscosity is the poise, where 10 poise = 1 N·s/m2. The poise is a fairly large unit, and it is more common to use the centipoise. Which of the following is equal to the centipoise? 10−3 N·s/m2 10−2 N·s/m2 10−1 N·s/m2 102 N·s/m2

10−3 N·s/m2

A 2.00-kg mass is placed at (3.00, 4.00) m, and a 3.50-kg mass is placed at (3.00, −4.00) m. What is the moment of inertia of this system of masses about the z axis? 138 kg·m2 16.5 kg·m2 88.0 kg·m2 49.5 kg·m2 22.0 kg·m2

138 kg·m2

A bank vault is opened by applying a force of 140 N perpendicular to the plane of the door, 1.20 m from the hinges. Find the torque due to this force about an axis through the hinges. 117 N·m 308 N·m 140 N·m 168 N·m 154 N·m

168 N·m

What is the kinetic energy of a 0.240-kg baseball thrown at 37.5 m/s? 338 J 4.50 J 169 J 9.00 J 37.7 J

169 J

A baseball pitcher, loosening up his arm before a game, tosses a 0.140-kg ball using only the rotation of his forearm, 0.290 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 24.0 m/s in a time of 0.450 s, what is the average angular acceleration of the arm and ball? 3.13 rad/s2 37.2 rad/s2 15.5 rad/s2 184 rad/s2 25.7 rad/s2

184 rad/s2

A block of wood has density 0.500 g/cm3 and mass 2 000 g. It floats in a container of oil (the oil's density is 0.750 g/cm3). What volume of oil does the wood displace? 4 000 cm3 2 670 cm3 1 500 cm3 1 000 cm3 500 cm3

2 670 cm3

A baseball pitcher loosens up his pitching arm. He tosses a 0.140-kg ball using only the rotation of his forearm, 0.270 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 24.0 m/s in a time of 0.425 s, what torque is applied to the ball while being held by the pitcher's hand to produce the angular acceleration? 29.3 N·m 21.3 N·m 2.13 N·m 2.93 N·m 209 N·m

2.13 N·m

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius of the planet is 6.0 × 106 m. What is the mass of Planet X? (G = 6.67 × 10−11 N ⋅ m2/kg2) 1.80E+18 kg 5.40E+24 kg 2.16E+25 kg 1.80E+18 kg

2.16E+25 kg

A rocket of total mass M and with burnout mass 0.20M attains a speed of 3 400 m/s after starting from rest in deep space. What is the exhaust velocity of the rocket? 6.8E+2 m/s 2.1E+3 m/s 1.7E+4 m/s 2.2E+3 m/s 1.1E+3 m/s

2.1E+3 m/s

Yuri, a Russian weightlifter, is able to lift 260 kg 2.10 m in 2.20 s. What is his power output? 546 W 2.43 kW 1.21 kW 11.8 kW 24.3 kW

2.43 kW

A cube of wood of density 0.780 g/cm3 is 11.2 cm on a side. When placed in water, what height of the block will float above the surface? (water density = 1.00 g/cm3) 8.74 cm 11.2 cm 2.46 cm 3.46 cm 1.46 cm

2.46 cm

A simple pendulum, 1.00 m in length, is released from rest when the support string is at an angle of 48.0° from the vertical. What is the speed of the suspended mass at the bottom of the swing? (g = 9.80 m/s2 and ignore air resistance) 4.43 m/s 3.82 m/s 6.49 m/s 2.55 m/s 1.62 m/s

2.55 m/s

Water pressurized to 3.00 × 105 Pa is flowing at 5.25 m/s in a pipe which contracts to 1/2 of its former area. What are the pressure and speed of the water after the contraction? (Density of water = 1 × 103 kg/m3.) 2.59E+5 Pa, 10.5 m/s 3.00E+5 Pa, 2.63 m/s 3.00E+5 Pa, 10.5 m/s 4.59E+5 Pa, 10.5 m/s 2.59E+5 Pa, 2.63 m/s

2.59E+5 Pa, 10.5 m/s

A bucket of water with total mass 20.0 kg is attached to a rope, which in turn is wound around a 4.00-cm radius cylinder at the top of a well. The bucket is raised to the top of the well and released. The bucket is moving with a speed of 8.00 m/s upon hitting the water surface in the well. What is the angular speed of the cylinder at this instant? 64.0 rad/s 50.3 rad/s 200 rad/s 126 rad/s 393 rad/s

200 rad/s

A baseball infielder, mass 78.0 kg, jumps up with velocity 3.50 m/s and catches a 0.195-kg baseball moving horizontally at 55.0 m/s. Of the following, which is closest to the final momentum of the system, infielder and baseball? 273 kg⋅m/s 328 kg⋅m/s 284 kg⋅m/s 240 kg⋅m/s 293 kg⋅m/s

273 kg⋅m/s

A neutron in a nuclear reactor makes an elastic head-on collision with a carbon atom initially at rest. (The mass of the carbon atom is 12 times that of the neutron.) What fraction of the neutron's kinetic energy is transferred to the carbon atom? 14.4% 28.4% 41.4% 56.6%

28.4%

A 10.0-kg box starts at rest and slides 3.90 m down a ramp inclined at an angle of 10° with the horizontal. If there is no friction between the ramp surface and crate, what is the velocity of the crate at the bottom of the ramp? (g = 9.8 m/s2) 13.3 m/s 3.64 m/s 8.74 m/s 8.68 m/s 76.4 m/s

3.64 m/s

What is the total force on the bottom of a 2.0-m-diameter by 1.5-m-deep round wading pool due to the weight of the air and the weight of the water? (Note the pressure contribution from the atmosphere is 1.0 × 105 N/m2, the density of water is 1 000 kg/m3, and g = 9.8 m/s2.) 5.1E+5 N 1.4E+6 N 2.1E+5 N 3.6E+5 N 2.1E+5 N

3.6E+5 N

The Earth is 93.0 million miles from the Sun and its period of revolution is 1 year = 3.15 × 107 s. What is the acceleration of the Earth in its orbit about the Sun? 18.6 mi/s2 9.30 × 10−3 mi/s2 13.6 × 10−6 mi/s2 3.70 × 10−6 mi/s2

3.70 × 10−6 mi/s2

A rocket has an exhaust speed of 2.5 × 103 m/s, and produces 7.5 × 105 N of instantaneous thrust. What mass of fuel does the rocket burn each second? 3.30 × 10-3 kg/s 17.1 kg/s 300 kg/s 1.90 × 109 kg/s

300 kg/s

A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.6 m/s when at the release point, to what maximum angle will it move in the second half of its swing? 86.3° 32.8° 39.1° 83° 180°

32.8°

A 24.0-kg crate, initially at rest, slides down a ramp 4.0 m long and inclined at an angle of 20° with the horizontal. If there is no friction between ramp surface and crate, what is the kinetic energy of the crate at the bottom of the ramp? (g = 9.8 m/s2) 880 J 940 J 644 J 322 J 161 J

322 J

Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.25 cm. If the nozzle has an opening of diameter 1.30 cm, and if the water leaves the nozzle at a speed of 14.0 m/s, what is the speed of the water inside the hose? 4.67 m/s 41.9 m/s 2.38 m/s 5.67 m/s also 14.0 m/s

4.67 m/s

During a snowball fight two balls with masses of 0.30 and 0.70 kg, respectively, are thrown in such a manner that they meet head-on and combine to form a single mass. The magnitude of initial velocity for each is 12.0 m/s. What is the speed of the 1.0-kg mass immediately after collision? zero 4.8 m/s 12 m/s 8.4 m/s 3.6 m/s

4.8 m/s

A parachutist of mass 50.0 kg jumps out of an airplane at a height of 1 040 m. The parachute deploys, and she lands on the ground with a speed of 4.0 m /s. How much energy was lost to air friction during this jump? 4.0E+2 J 8.2E+4 J 4.3E+5 J 5.1E+5 J 6.4E+5 J

5.1E+5 J

A fluid is drawn up through a tube as shown in the figure. If the height difference from the top of the tank to the bottom of the siphon is H = 1.40 m, then what is the outflow speed? Assume the pressure is the same at the top of the tank and at the siphon outlet. ​PICTURE 3.70 m/s 27.4 m/s 5.24 m/s 6.86 m/s

5.24 m/s

Spherical particles of density 1.8 g/cm3 are shaken in a container of water (viscosity = 1.0 × 10−3 N⋅s/m3). The water is 9.0 cm deep and is allowed to stand for 30 minutes. What is the radius of the largest particles still in suspension at that time? 2.5E-6 m 6.4E-6 m 5.4E-6 m 1.8E-6 m 4.1E-6 m

5.4E-6 m

The force acting on an object is given by Fx = (5x - 10) N, where x is in meters. What is the net work done by the force as the object moves from x = 0 to x = 4.50? 5.6 J 15.6 J 12.5 J 11.3 J

5.6 J

A 62.0-kg woman runs up a flight of stairs having a rise of 4.28 m in a time of 4.20 s. What average power did she supply? 63.2 W 619 W 596 W 629 W 609 W

619 W

Adisa pulls a 35.0-N crate up a 4.00-m-long inclined plane at a constant velocity. If the plane is inclined at an angle of 39.0° to the horizontal and there is a constant force of friction of 13.0 N between the crate and the surface, what is the net change in potential energy of the crate? 88 J −88 J 109 J −109 J None of these

88 J

An automobile delivers 30.0 hp to its wheels when moving at a constant speed of 24.0 m/s. What is the resistance force on the automobile at this speed? (1 hp = 746 watts) 5.37E+5 N 1.21E+3 N 9.33E+2 N 3.73E+2 N 5.97E+2 N

9.33E+2 N

A rocket with initial mass of 3.0 × 104 kg fires its engines at t = 0. The exhaust speed of the rocket is 3.9 × 103 m/s. If the velocity of the rocket at t = 200 s is 1 500 m/s, how much fuel did it consume? 9.6 × 10^3 kg 3.0 × 10^4 kg 4.4 × 10^4 kg 4.8 × 10^3 kg

9.6 × 10^3 kg

The law of conservation of momentum is applicable to systems made up of objects described by which of the following? macroscopic microscopic interacting through friction All the above choices are valid.

All the above choices are valid.

Three satellites are launched into space connected together. Once in deep space, an explosive charge separates the three satellites and they move apart. The satellites each have different masses with m1 < m2 < m3. Which of the following statements is always true? The one with mass m1 receives the greatest impulse. The one with mass m3 receives the greatest impulse. The all must receive equal impulses. Although one or more of the above statements could be true in special cases, they are not always true.

Although one or more of the above statements could be true in special cases, they are not always true.

Which of the following characterizes the net force on a particle falling through a fluid at its terminal speed? It is at a maximum. It is upwards. It is downwards. It is zero.

It is zero.

Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe. Imagine that you take measurements along the pipe in the direction of fluid flow. What happens to the sum of the pressure and energy per unit volume? It increases as the pipe diameter increases. It decreases as the pipe diameter increases. It remains constant as the pipe diameter increases. No choices above are valid.

It remains constant as the pipe diameter increases.

The Earth's orbit is closest to the Sun in January and farthest from the Sun in July. When is the Earth moving the fastest in orbit? Neither January nor July since the orbital speed of the Earth is a constant. January July This occurs twice a year, in April and in October.

January

The quantity "stress" expressed in terms of the fundamental quantities (mass, length, time) is equivalent to MLT-1 ML-1T-2 M2L-1T-2 a dimensionless quantity

ML-1T-2

A high-diver of mass 59.8 kg jumps off a board 10.0 m above the water. If, 1.00 s after entering the water his downward motion is stopped, what average upward force did the water exert? 108 N 4.27 N 840 N 598 N None of the other answers is correct.

None of the other answers is correct.

Object 1 has twice the mass of Object 2. Both objects have the same kinetic energy. Which of the following statements is true? Both objects can have the same magnitude of momentum. Object 1 has a momentum of greater magnitude than Object 2. The magnitude of the momentum of Object 2 is four times that of Object 1. All the statements are false.

Object 1 has a momentum of greater magnitude than Object 2.

Two objects, one less massive than the other, collide elastically and bounce back after the collision. If the two originally had velocities that were equal in size but opposite in direction, then which one will be moving faster after the collision? The less massive one. The more massive one. The speeds will be the same after the collision. There is no way to be sure without the actual masses.

The less massive one.

A 75-kg man is standing in a 20-kg boat. The man steps to the right thinking he is stepping out onto the dock. However, the following will actually happen (ignore the friction of the water or air on the boat or the man): The man only moves a short distance to the right while the boat moves a larger distance to the left. The man only moves a short distance to the left while the boat moves a larger distance to the right. The man actually stays still while the boat moves toward the left. The boat doesn't move and the man moves to the right. ​None of the above.

The man only moves a short distance to the right while the boat moves a larger distance to the left.

Kaitlin uses a bat to hit a thrown baseball. She knocks the ball back in the direction from which it came in a partially inelastic collision. The bat, which is heavier than the baseball, continues to move in the same direction after the hit as Kaitlin "follows through." Is the ball moving faster before or after it was hit? The ball was moving faster before it was hit. The ball was moving faster after it was hit. The ball was moving at essentially the same speed before and after the hit. There is insufficient information to answer this problem.

There is insufficient information to answer this problem.

The quantity "strain" expressed in terms of the fundamental quantities (mass, length, time) is equivalent to MLT−1. ML−1T−2. M2L−1T−3. a dimensionless quantity.

a dimensionless quantity.

A container is filled with water and the pressure at the bottom of the container is P. Then the container is emptied halfway and topped off with oil of density 0.8 × 103 kg/m3, which floats on top of the water. What is the pressure at the bottom of the container now? a pressure < P the same pressure P a pressure > P This is unable to be determined with the information given. ​a pressure < 0.5P

a pressure < P

What is the angular speed about the rotational axis of the Earth for a person standing on the surface? 7.3 × 10−5 rad/s 3.6 x 10-5 rad/s 6.3 x 10-5 rad/s 3.1 x 10-5 rad/s

a. 7.3 × 10−5 rad/s

Water (density = 1.00 × 103 kg/m3) flows at 7.2 m/s through a pipe with radius 0.025 m. The pipe goes up to the second floor of the building, 2.00 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor? 0.23 m 0.036 m 0.019 m 0.0013 m 0.022 m

b. 0.036 m

What is the total mass of the Earth's atmosphere? (The radius of the Earth is 6.4 × 106 m, and atmospheric pressure at the surface is 105 N/m2.)

c. 5 × 1018 kg

A valid unit for momentum is which of the following? kg⋅m/s2 kg/m2 kg⋅m/s

c. kg⋅m/s

An object of radius R and moment of inertia I rolls down an incline of height H after starting from rest. Its total kinetic energy at the bottom of the incline: is gR/I. is I/gH. is 0.5Ig/H. cannot be found from the given information alone.

cannot be found from the given information alone.

A rod system with a uniform linear density of l = 4.40 kg/m has the shape shown in the figure, with rod 1 the vertical rod and rod 2 the horizontal rod. Rod 1 has length L1 = 8.00 m, and rod 2 has length L2 = 7.50 m. Neglect the diameter of the rods.13. What is the center of mass of the system? (1.29m, 3.31m) (2.06m, 3.10m) (3.31m, 1.9m) (3.10 m, 2.06 m)

d. (3.10 m, 2.06 m)

A system of 3 masses is located as follows: m1 = m0 at (0, L), m2 = 2m0 at the origin, and m3 = 3m0 at (3L, 0). Where is the center of mass of these masses? 1st 2nd 3rd last

d. (3/2 L, 1/6 L)

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius of the planet is 4.0 × 106 m. What free-fall acceleration will the 0.50-kg object experience when transported to a distance of 8.00 × 106 m from the surface of this planet?

d. 4.44 m/s2

A roller coaster, loaded with passengers, has a mass of 2 000 kg; the radius of curvature of the track at the bottom point of the dip is 24 m. If the vehicle has a speed of 18 m/s at this point, what force is exerted on the vehicle by the track? (g = 9.8 m/s2)

d. 7.4E+3 N

A bobsled makes a run down an ice track starting at 250 m vertical distance up the hill. If there is no friction, what is the velocity at the bottom of the hill?

d. 70.0 m/s

In a large tank of liquid, the hydrostatic pressure at a given depth is a function of depth surface area liquid density Choices a and c are both valid

d. Choices a and c are both valid.

A hoop, solid sphere, and solid cylinder each have the same mass and same radius. When rolling down the same incline, which has the greatest torque from gravity on it? the hoop the sphere the cylinder They all have the same torque

d. They all have the same torque.

An 8.4-kg mass is placed at (3.0, 4.0) m. Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero? (-3.0, -4.0) m (-6.0, -8.0) m (-1.5, -2.0) m (1.5, 2.0) There is no position giving this result

e. There is no position giving this result

A 5-kg object is moving to the right at 4 m/s and collides with a 4-kg object moving to the left at 5 m/s. The objects collide and stick together. After the collision, the combined object: has the same kinetic energy that the system had before the collision. has more kinetic energy than the system had before the collision. has no kinetic energy. has less momentum than the system had before the collision.

has no kinetic energy.

The SI units for k, the spring constant, are equivalent to: J. J / N. kg / s2. None of the above.

kg / s2

Which of the following is that form of energy associated with an object's motion? potential thermal bio-chemical kinetic

kinetic

Jasper takes two books of mass m1 and m2 off the floor and places them on a shelf at height h. The change in potential energy of the book with mass m1 is four times that of the book with mass m2. What is the relationship between m1 and m2? m1 = 0.25m2 m1 = 0.5m2 m1 = 2m2 m1 = 4m2

m1 = 4m2

In a two-body collision, if the momentum of the system is conserved, then which of the following best describes the kinetic energy after the collision? must be less must also be conserved may also be conserved is doubled in value

may also be conserved

A pendulum consists of a mass m suspended from a string of length L. When the pendulum is swinging, how much greater is the mass's potential energy when the string is displaced from the vertical by the angle θ than when the mass is at the lowest position? mgL​sinθ mgL​cosθ mgL(1 - sinθ) mgL(1 - cosθ)

mgL(1 - cosθ)

The impulse experienced by a body is equivalent to its change in: velocity. kinetic energy. momentum. None of the above choices are valid.

momentum.

A model rocket sits on the launch pad until its fuel is ignited, blasting the rocket upward. During the short time of blast-off, as the ignited fuel goes down, the rocket goes up because the fuel pushes on the ground. air friction pushes on the escaping fuel. the downward force of gravity is less than the downward momentum of the fuel. of none of the above reasons

of none of the above reasons.

Which of the first units given below can be units for angular acceleration while the second units can be units for angular velocity? rev/min2, m/s deg/hour, rev/minute rad/s2, deg/hour rad/s, rad/s2

rad/s2, deg/hour

A rod system with a uniform linear density of l = 4.40 kg/m has the shape shown in the figure, with rod 1 the vertical rod and rod 2 the horizontal rod. Rod 1 has length L1 = 8.00 m, and rod 2 has length L2 = 7.50 m. Neglect the diameter of the rods. ​PICTURE What is the center of mass of each rod? rod 1: (35.20 m, 0), rod 2: (0, 11.73 m) rod 1: (17.60 m, 0), rod 2: (0, 16.50 m) rod 1: (2.50, 4.00), rod 2: (3.75 m, 0 m) rod 1: (10.20 m, 0), rod 2: (0, 9.70 m)

rod 1: (2.50, 4.00), rod 2: (3.75 m, 0 m)

A tire stops a car by use of friction. What modulus should we use to calculate the stress and strain on the tire? Young's modulus compression modulus shear modulus bulk modulus

shear modulus

A pipe carrying water has a radius of 1.0 cm. If the flow velocity is 9.0 cm/s, which of the following characterizes the flow? Take the viscosity of water to be 1.0 × 10−3 N⋅s/m. stagnant unstable turbulent streamlined

streamlined

A 40-kg boy is standing on the edge of a stationary 30-kg circular platform that is free to rotate. The boy tries to walk around the platform in a counterclockwise direction. As he does: the platform doesn't rotate. the platform rotates in a clockwise direction just fast enough so that the boy remains stationary relative to the ground. the platform rotates in a clockwise direction while the boy goes around in a counterclockwise direction relative to the ground. both go around with equal angular velocities but in opposite directions.

the platform rotates in a clockwise direction while the boy goes around in a counterclockwise direction relative to the ground.

Which of the following is not true about potential energy? Potential energy is stored energy. Potential energy is related to position. Potential energy is a scalar quantity. Potential energy has direction.

Potential energy has direction

A block is projected with speed v across a horizontal surface and slides to a stop due to friction. The same block is then projected with the same speed v up an incline where is slides to a stop due to friction. In which case did the total mechanical energy of the block decrease the least? This problem cannot be solved since it was not indicated whether the horizontal surface and the incline both had the same coefficient of kinetic friction. The case on the horizontal surface had the least decrease in total mechanical energy. The case on the inclined surface had the least decrease in total mechanical energy. In both cases the decrease in mechanical energy was the same.

The case on the inclined surface had the least decrease in total mechanical energy.

Neglecting gravity, doubling the exhaust velocity from a single stage rocket initially at rest changes the final velocity attainable by what factor? Assume all other variables, such as the mass of the rocket and the mass of the fuel, do not change. The final velocity stays the same. The final velocity doubles. The final velocity increases by a factor of 0.693. The final velocity increases by a factor of 0.310.

The final velocity doubles.

A Hooke's law spring is compressed a distance d and is used to launch a mass m vertically to a height h above its starting position. Under the same compression d, the spring is now used to launch a mass of 2m. How high does this second mass rise? h h/2 h/ h/4

h/2

A force of 5.0 N is applied to a 20-kg mass on a horizontal frictionless surface. As the speed of the mass increases at a constant acceleration, the power delivered to it by the force: remains the same. increases. decreases. doubles every 4.0 seconds.

increases

Two points on a merry-go-round are located at distances from the center r1 and r2, where r1 < r2. While the merry-go-round is in the process of speeding up to operational speed, which of the following equations involving magnitudes of angular speed, angular acceleration, and tangential speed for these points is incorrect? ω1 = ω2 α1 = α2 vt1 = vt2 All of the equations are correct.

vt1 = vt2

A very light cart holding a 100-N box is moved at constant velocity across a 10-m level surface. What is the net work done in the process? zero 1/10 J 10 J 100 J ​1 000 J

zero

A 60-kg (including the passenger) sled is subject to a net force of 20 N pushing in the direction of the sled's motion as it is moving over a horizontal surface for a distance of 11 m after having started from rest. At this point the sled is released as it starts down a 10.0° incline. However, the snow is not very deep, and the sled stops after having moved an additional 35 m. What is the work done by friction while the sled is on the incline? -3.6E+3 J -3.8E+3 J -3.4E+3 J -2.0E+4 J

-3.8E+3 J

A satellite is held in orbit by a 1 000-N gravitational force. Each time the satellite completes an orbit of circumference 80 000 km, the work done on it by gravity is: 1.0×108 J. 8.0×108 J. 1.0×1011 J. 0. ​8.0×1011 J.

0

The bottom of a flat-bottomed aluminum boat has an area of 4.20 m2 and the boat's mass is 63.0 kg. When set afloat in water, how far below the water surface is the boat bottom? (water density = 1.00 × 103 kg/m3) 15.0 m 0.0150 m 0.115 m 0.265 m 0.0250 m

0.0150 m

A boat with mass of 1 200 kg is traveling at 12 m/s. What is the magnitude of the force required to stop the boat if it undergoes a displacement of 85 m? 2 000 N 170 N 8 500 N 1 000 N

1 000 N

A 70-kg swimmer dives horizontally off a 500-kg raft. The diver's speed immediately after leaving the raft is 6.0 m/s. A micro-sensor system attached to the edge of the raft measures the time interval during which the diver applies an impulse to the raft just prior to leaving the raft surface. If the time interval is read as 0.25 s, what is the magnitude of the average horizontal force by diver on the raft? 110 N 420 N 2 000 N 1 700 N 24 N

1 700 N

When water freezes, it expands about nine percent. What would be the pressure increase inside your automobile engine block if the water in there froze? (The bulk modulus of ice is 2.0 × 109 Pa, and 1 atm = 1.0 × 105 Pa.) 18 atm 270 atm 1 080 atm 1 800 atm

1 800 atm

A force of 130 N is applied to a 50-kg mass in the direction of motion for a distance of 6.0 m and then the force is increased to 170 N for the next 4.0 m. For the 10 m of travel, how much work is done by the varying force? 1.5E+3 J 1.5E+3 J 7.3E+4 J 2.9E+2 J 1.4E+3 J

1.5E+3 J(2nd)

Petra pushes a crate across a rough floor. A frictional force of 28.0 N acts to oppose the motion of the crate, and Petra pushes with a horizontal force of 36.4 N. If the net work Petra does is 94.5 J, through what distance did she push the crate? 11.3 m 3.38 m 2.60 m 2 650 m 3 440 m

11.3 m

An amount of work equal to 2.0 J is required to compress the spring in a spring-gun. What is the "launch speed" of a 26.0-g marble? 12.4 m/s 13.4 m/s 8.8 m/s 3.92 m/s 0.392 m/s

12.4 m/s

A girl and her bicycle have a total mass of 42 kg. At the top of the hill her speed is 4.00 m/s. The hill is 14.3 m high and 112 m long. If the force of friction as she rides down the hill is 20 N, what is her speed at the bottom? 4.00 m/s 15.8 m/s 13.8 m/s 63.1 m/s She stops before she reaches the bottom.

13.8 m/s

A 0.150-m-radius grinding wheel, starting at rest, develops an angular speed of 12.0 rad/s in a time interval of 4.00 s. What is the centripetal acceleration of a point 0.100 m from the center when the wheel is moving at an angular speed of 12.0 rad/s? 0.450 m/s2 7.20 m/s2 14.4 m/s2 28.8 m/s2

14.4 m/s2

A baseball outfielder throws a baseball of mass 0.36 kg at a speed of 34.0 m/s and initial angle of 30°. What is the kinetic energy of the baseball at the highest point of the trajectory? Ignore air friction. zero 312 J 156 J 52.0 J 208 J

156 J

A 8.00-kg bowling ball falls from a 3.50-m shelf. Just before hitting the floor, what will be its kinetic energy? (g = 9.80 m/s2 and assume air resistance is negligible) 280 J 49.0 J 2.86 J 274 J 28.0 J

274 J

A Hooke's law spring is compressed a distance d and is used to launch a particle of mass m vertically to a height h above its starting position. Under double the compression, the spring is now used to launch a particle of mass 2m. How high does the second mass rise above its starting position? h 2h 3h 4h

2h

A bucket of water with total mass 24.0 kg is attached to a rope, which in turn, is wound around a 0.050-m radius cylinder at the top of a well. A crank with a turning radius of 0.35 m is attached to the end of the cylinder. What minimum force directed perpendicular to the crank handle is required to just raise the bucket? (Assume the rope's mass is negligible, that the cylinder turns on frictionless bearings, and that g = 9.8 m/s2.) 1 600 N 3.4 N 34 N 670 N 4.1 N

34 N

A baseball catcher puts on an exhibition by catching a 0.200-kg ball dropped from a helicopter at a height of 150 m above the catcher. If the catcher "gives" with the ball for a distance of 0.755 m while catching it, what average force is exerted on the mitt by the ball? (g = 9.80 m/s2) 39.7 N 294 N 389 N 399 N 1110 N

389 N

An Olympic skier moving at 19.5 m/s down a 17.0° slope encounters a region of wet snow, of coefficient of friction μk = 0.740. How far down the slope does she go before stopping? 56.7 m 46.7 m 56.1 m 36.7 m 37.4 m

46.7 m

A solid sphere of radius R is placed on an incline that makes an angle ​θ with the horizontal. The sphere rolls down the incline without slipping. What is its acceleration? 2/3gsin0 5/7gsin0 3/2gsin0 7/5gsin0

5/7gsin0

A golf ball hits a wall and bounces back at 3/4 the original speed. What part of the original kinetic energy of the ball did it lose in the collision? 1/4 3/8 7/16 9/16 ​3/4

7/16

An astronaut is on a 100-m lifeline outside a spaceship, circling the ship with an angular speed of 0.100 rad/s. How far inward can she be pulled before the centripetal acceleration reaches 4g = 39.2 m/s2? 50.0 m 70.6 m 72.7 m 89.9 m

70.6 m

A pole vaulter clears 3.98 m. With what speed does he strike the mat in the landing area? 78.0 m/s 6.25 m/s 8.83 m/s 4.42 m/s 0.226 m/s

8.83 m/s

A box is launched up a frictionless incline with an angle of elevation θ. The maximum height reached by the box is h. The box is again launched up the incline with the same initial speed it had before, but this time the angle of elevation has been increased to φ. How does the maximum height H reached this time by the box compare with the previous value h? H = h H > h H < h H​ = ((sinφ)/(sinθ))

H = h

In a problem using energy considerations to solve for the speed of a ball thrown from the top of a building when it strikes the ground below, where should the potential energy have its zero value? It should be at the level from where the ball is thrown. It should be at the ground level where the ball hits. It should be slightly below ground level so the potential energy is always positive. It doesn't matter since only differences in potential energy matter in solutions.

It doesn't matter since only differences in potential energy matter in solutions.

A 180-hp engine can deliver, in SI units, an average power of ____. (1 hp = 746 W) 2.4E-1 W 4.1E+3 W 1.3E+5 W 1.8E+2 W 9.3E+2 W

1.3E+5 W

What is the minimum diameter of a steel wire if it is to support a mass of 80 kg? The elastic limit of steel is 5.0 × 108 Pa. 1.4 mm 2.0 mm 1.0 mm 2.0 mm

1.4 mm

An object of mass m and moment of inertia I has rotational kinetic energy KER. Its angular momentum is: 0.5 I/m. (2 IKER)1/2. (2 mKER)1/2. not given.

(2 IKER)1/2.

A horse pulls a 350-kg sled at constant speed along an icy road for a distance of 500 m. If the coefficient of kinetic friction between the sled and the road is 0.450, and the angle between the harness and the sled is 25°, what is the mechanical energy lost due to friction? -9.8E+5 J -6.4E+5 J -1.3E+3 J -7.4E+3 J

-6.4E+5 J

An ideal fluid, of density 850 kg/m3, flows at 0.560 kg/s through a pipe of radius 0.0250 m. What is the fluid speed? 0.773 m/s 0.00419 m/s 285 m/s 0.336 m/s 0.599 m/s

0.336 m/s

It takes 4.00 minutes to fill a gas tank with 50.0 liters of gasoline. If the pump nozzle is 1.35 cm in radius, what is the average speed of the gasoline as it leaves the nozzle? (1 000 liters = one cubic meter) 3.64 m/s 0.364 m/s 21.8 m/s 1.36 m/s 12.5 m/s

0.364 m/s

A miniature spring-loaded, radio-controlled gun is mounted on an air puck. The gun's bullet has a mass of 7.00 g, and the gun and puck have a combined mass of 150 g. With the system initially at rest, the radio controlled trigger releases the bullet causing the puck and empty gun to move with a speed of 0.530 m/s. What is the bullet's speed? 83.2 m/s 75.7 m/s 12.4 m/s 11.4 m/s 296 m/s

11.4 m/s

Popeye, of mass 75.0 kg, has just downed a can of spinach. He accelerates quickly and stops Bluto, of mass 650 kg (Bluto is very dense), who is charging in at 15.0 m/s. What was Popeye's speed? 1.73 m/s 48.3 m/s 120 m/s 130 m/s 15.0 m/s

130 m/s

A railroad freight car, mass 15 000 kg, is allowed to coast along a level track at a speed of 3.0 m/s. It collides and couples with a 54 000-kg loaded second car, initially at rest and with brakes released. What percentage of the initial kinetic energy of the 15 000-kg car is preserved in the two-coupled cars after collision? 78% 22% 18% 38% 14%

22%

Mitch throws a 130-g lump of clay at a 590-g target, which is at rest on a horizontal surface. After impact, the target, including the attached clay, slides 2.8 m before stopping. If the coefficient of friction is μ = 0.50, find the speed of the clay before impact. 6.4 m/s 33 m/s 29 m/s 0.62 m/s 34 m/s

29 m/s

A solid object is made of two materials, one material having density of 2 500 kg/m3 and the other having density of 6 500 kg/m3. If the object contains equal masses of the materials, what is its average density? 3 611 kg/m3 4 500 kg/m3 4 611 kg/m3 9 000 kg/m3 more information is needed

3 611 kg/m3

At liftoff, the engines of the Saturn V rocket consumed 12 500 kg/s of fuel and exhausted the combustion products at 2 700 m/s. What was the total upward force (thrust) provided by the engines? 3.38E+7 N 4.63E+6 N 2.16E+5 N 3.48E+7 N ​3.28E+7 N

3.38E+7 N

A 26.0-g bullet moving at 1 200 m/s is fired through a one-kg block of wood emerging at a speed of 200 m/s. What is the kinetic energy of the block that results from the collision if the block had not been moving prior to the collision and was free to move? 6.6E+2 J 4.9E+2 J 3.4E+2 J 7.4E+2 J 1.3E+3 J

3.4E+2 J

A 1.00-kg platinum-iridium cylinder is 26.0 mm in height and 40.0 mm in diameter. What is the density of the material? 30.6 g/cm3 29.8 g/cm3 31.2 g/cm3 10.0 g/cm3 59.6 g/cm3

30.6 g/cm3

A satellite engine has an exhaust speed of 2.80 × 104 m/s and ejects ionized gas at a rate of 2.50 × 10-6 kg/s. What is the instantaneous thrust of the engine? 8.93 × 10-11 N 7.00 × 10-2 N 5.30 × 10^2 N 1.12 × 10^10 N

7.00 × 10-2 N

A 1 300-kg automobile moving at 21 m/s has the brakes applied with a deceleration of 3.0 m/s2. How far does the car travel before it stops? 7.4E+1 m 1.5E+2 m 2.9E+5 m 2.3E+4 m 4.3E+2 m

7.4E+1 m

Three disks have the same mass and the same total kinetic energy. Disk #1 has radius R, disk #2 has radius 2R, and disk #3 has radius 3R. Which one has the highest vtranslational? disk #1 disk #2 disk #3 The all have the same vtranslational.

The all have the same vtranslational.

A lump of clay is thrown at a wall. A rubber ball of identical mass is thrown with the same speed toward the same wall. Which statement is true? The clay experiences a greater change in momentum than the ball. The ball experiences a greater change in momentum than the clay. The clay and the ball experience the same change in momentum. It is not possible to know which object has the greater change in momentum.

The ball experiences a greater change in momentum than the clay.

An object of mass m moving at speed v0 strikes an object of mass 2m which had been at rest. The first object bounces backward along its initial path at speed v0. Is this collision elastic, and if not, what is the change in kinetic energy of the system? The collision is elastic. The kinetic energy decreases by mv2. The kinetic energy decreases by mv2/2. The kinetic energy increases by mv2.

The kinetic energy increases by mv2.

A wheel is rotated about a horizontal axle at a constant angular speed. Next it is rotated in the opposite direction with the same angular speed. The acceleration at a point on the top of the wheel in the second case as compared to the acceleration in the first case: is in the same direction. is in the opposite direction. is upward. is tangential to the wheel.

is in the same direction.

A uniform solid sphere rolls down an incline of height 3 m after starting from rest. In order to calculate its speed at the bottom of the incline, one needs to know: the mass of the sphere. the radius of the sphere. the mass and the radius of the sphere. no more than is given in the problem.

no more than is given in the problem.

According to Kepler's second law, Halley's Comet circles the Sun in an elliptical path with the Sun at one focus of the ellipse. What is at the other focus of the ellipse? nothing the Earth The comet itself passes through the other focus. The tail of the comet stays at the other ellipse.

nothing

When a collision is perfectly inelastic, then: all the kinetic energy is conserved. all the kinetic energy is gone. the participants stick together. the total momentum is zero.

the participants stick together.

Two masses m1 and m2, with m1 = 3 m2, undergo a head-on elastic collision. If the particles were approaching with speed v before the collision, with what speed are they moving apart after collision? 3 v v/3 3v/4 v

v

A ceiling fan is turned on and reaches an angular speed of 132 rev/min in 20 s. It is then turned off and coasts to a stop in an additional 40 s. The ratio of the average angular acceleration for the first 20 s to that for the last 40 s is which of the following? 6.6 6.4 −0.15 −2.0

−2.0

A 3.00-kg ball has zero potential and kinetic energy. Maria drops the ball into a 10.0-m-deep well. After the ball comes to a stop in the mud, the sum of its potential and kinetic energy is: zero. 294 J. −294 J. 588 J. −588 J.

−294 J.

A 25.0-kg object sitting at rest is struck elastically in a head-on collision with a 20.5-kg object initially moving at +4.0 m/s. Find the final velocity of the 25.0-kg object after the collision. −0.90 m/s −3.6 m/s +6.6 m/s +3.6 m/s +15 m/s

+3.6 m/s

A 22.3-g bullet moving at 1 000 m/s is fired through a one-kg block of wood emerging at a speed of 100 m/s. What is the change in the kinetic energy of the bullet-block system as a result of the collision assuming the block is free to move? 0 J 10.8 kJ -10.8 kJ 11.2 J 223 J

-10.8 kJ

A ball with original momentum +7.0 kg⋅m/s hits a wall and bounces straight back without losing any kinetic energy. The change in momentum of the ball is: 0. 14 kg⋅m/s. 7.0 kg⋅m/s. -14 kg⋅m/s. -7.0 kg⋅m/s.

-14 kg⋅m/s.

A ventilation fan with a moment of inertia of 0.034 kg·m2 has a net torque of 0.11 N·m applied to it. If it starts from rest, what angular momentum will it have 9.0 s later? 0.88 kg·m2/s 0.99 kg·m2/s 2.0 kg·m2/s 3.3 kg·m2/s

0.99 kg·m2/s

A helicopter stays aloft by pushing large quantities of air downward every second. What mass of air must be pushed downward at 35.0 m/s every second to keep a 1 500-kg helicopter aloft? 42.9 kg 420 kg 430 kg 410 kg 415 kg

420 kg

Three masses are moving along the x-axis. Their masses and velocities are ​m​1 = ​m​ with ​v​1 = ​v​, ​m​2 = 2​m with v2 = 2v, and m3 = 3m with v3 = -3v ​(the minus sign indicating this velocity is in the negative x-direction). The three masses collide and stick together in a completely inelastic collision. What is the resultant velocity of the combined mass? 0, since their combined momentum is zero. -2v/3 14v/3 -v

-2v/3

A 2.50-kg projectile is launched at an angle of 20.0° above the horizontal with an initial speed of 100 m/s from the top of a building 40 m high. If the projectile is traveling 85.0 m/s at its maximum height of 47.0 m, how much work has been done on the projectile by air friction? -3.3E+3 J 1.7E+2 J -3.5E+3 J 2.4E+4 J

-3.3E+3 J

A cannon of mass 1 300 kg fires a 13.6-kg shell with a velocity of 180 m/s at an angle of 45° above the horizontal. Find the recoil velocity of the cannon across the level ground. 1.88 m/s 1.33 m/s 0.376 m/s 0.666 m/s 0.942 m/s

1.33 m/s

A 13.4-g bullet is fired into a 1.60-kg block of wood which is suspended as a ballistic pendulum. The combined mass swings up to a height of 8.50 cm. What was the kinetic energy of the combined mass immediately after the collision? 1.32 J 1.33 J 0.0112 J 1.34 J 0.137 J

1.34 J

A Hooke's law spring is mounted horizontally over a frictionless surface. The spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. What compression of the spring would result in the mass attaining double the kinetic energy received in the above situation? 1.41d 1.73d 2.00d 4.00d

1.41d

A billiard ball is moving in the x-direction at 30.0 cm/s and strikes another billiard ball moving in the y-direction at 40.0 cm/s. As a result of the collision, the first ball moves at 50.0 cm/s, and the second ball stops. What is the change in kinetic energy of the system as a result of the collision? 0 some positive value some negative value No answer above is correct.

0

I use a rope 3.50 m long to swing a 10.8-kg weight around my head. The tension in the rope is 8.25 N. In half a revolution how much work is done by the rope on the weight? 28.9 J 312 J 25.5 J 0 J 0.218 J

0 J

A fluid has a density of 1 040 kg/m3. If it rises to a height of 1.60 cm in a 1.50-mm diameter capillary tube, what is the surface tension of the liquid? Assume a contact angle of zero. 0.0612 N/m 0.122 N/m 6.12 N/m 0.245 N/m 12.2 N/m

0.0612 N/m

Two skaters, both of mass 75.0 kg, are on skates on a frictionless ice pond. One skater throws a 0.40-kg ball at 6.0 m/s to his friend, who catches it and throws it back at 6.0 m/s. When the first skater has caught the returned ball, what is the velocity of each of the two skaters? 0.031 m/s, moving apart 0.063 m/s, moving apart 0.031 m/s, moving towards each other 0.063 m/s, moving towards each other 12 m/s, moving apart

0.063 m/s, moving apart

A 0.150-m-radius grinding wheel starts at rest and develops an angular speed of 12.00 rad/s in 7.80 s. What is the average tangential acceleration of a point on the wheel's edge? 0.231 m/s2 1.54 m/s2 10.3 m/s2 14.0 m/s2

0.231 m/s2

An ideal fluid, of density 900 kg/m3, flows at 4.80 m/s through a level pipe with radius of 0.22 cm. The pressure in the fluid is 1.3 × 105 N/m2. This pipe connects to a second level pipe, with radius of 0.72 cm. Find the speed of flow in the second pipe. 51 m/s 1.5 m/s 0.45 m/s 16 m/s 4.9 m/s

0.45 m/s

A 5.25-g bullet is fired into a 360-g block of wood suspended as a ballistic pendulum. The combined mass swings up to a height of 8.75 cm. What was the magnitude of the momentum of the combined mass immediately after the collision? 0.338 kg·m/s 0.471 kg·m/s 0.478 kg·m/s 0.626 kg·m/s 0.239 kg·m/s

0.478 kg·m/s

An unfueled 1000-kg experimental rocket sled at rest on level frictionless rails is loaded with 50 kg of propellant. It exhausts the propellant in a 20 s "burn." The rocket moves at 160 m/s after the burn. What average force is experienced by the rocket during the burn? 0.80 × 10^4 N 0.75 × 10^4 N 0.60 × 10^4 N 0.35 × 10^4 N

0.80 × 10^4 N

A turntable has a moment of inertia of 3.0 × 10−2 kg·m2 and spins freely on a frictionless bearing at 25 rev/min. A 0.60-kg ball of putty is dropped vertically on the turntable and sticks at a point 0.10 m from the center. By what factor does the kinetic energy of the system change after the putty is dropped onto the turntable? 0.91 1.0 0.83 1.5

0.83

A model car is propelled by a cylinder of carbon dioxide gas. The cylinder emits gas at a rate of 5.00 g/s with an exit speed of 80.0 m/s. The car has a mass of 455 g, including the CO2 cylinder. Starting from rest, what is the car's initial acceleration? 0.879 m/s2 40.0 m/s2 36.4 m/s2 7.28 m/s2 1.38 m/s2

0.879 m/s2

Tasha has mass 20 kg and wants to use a 5.0-m board of mass 12 kg as a seesaw. Her friends are busy, so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board. How far is she from the support point? 1.9 m 0.94 m 4.1 m 3.1 m

0.94 m

Consider two steel rods, A and B. B has three times the area and twice the length of A, so Young's modulus for B will be what factor times Young's modulus for A? 3.0 0.5 1.5 1.0

1.0

The spring of the pressure gauge shown in the figure has a force constant of 900 N/m, and the piston has a radius of 1.5 cm. PICTURE As the gauge is lowered into water, what change in depth causes the piston to move in by 0.88 cm? The density of water is 1 000 kg/m3. 1.1 m 0.054 m 76 m 0.017 m

1.1 m

A 1 500-kg experimental rocket sled at rest on level frictionless rails is loaded with 55.0 kg of propellant. It exhausts the propellant in a 20-s "burn." The rocket moves at 155 m/s after the burn. What average force is experienced by the rocket during the burn? 4.26E+2 N 1.16E+4 N 1.21E+4 N 1.94E+2 N ​2.33E+5 N

1.16E+4 N

How much power is theoretically available from a mass flow of 1 000 kg/s of water that falls a vertical distance of 120 m? 1.18E+6 kW 1.20E+5 kW 1.18E+3 W 8.17E+1 W 1.18E+6 W

1.18E+6 kW

A 2 500-kg ore car rolls 55.0 m down a frictionless 10.0° incline. If there is a horizontal spring at the end of the incline, what spring constant is required to stop the ore car in a distance of 2.10 m? 1.1E+5 kN/m 4.5E+5 kN/m 2.8E+6 kN/m 2.4E+5 kN/m 2.4E+4 kN/m

1.1E+5 kN/m

A woman who weighs 500 N stands on a 6.0-m-long board that weighs 100 N. The board is supported at each end. The support force at the right end is 3 times the support force at the left end. How far from the right end is the woman standing? 4.8 m 2.1 m 1.7 m 1.2 m ​3.9 m

1.2 m

A 5.00-g bullet is fired into a 950-g block of wood suspended as a ballistic pendulum. The combined mass swings up to a height of 8.00 cm. What was the kinetic energy of the bullet immediately before the collision? 1.4E+2 J 1.5E+3 kJ 3.9E-3 J 1.4E+8 J 1.5E+2 J

1.4E+2 J

A 6.1-g bullet has a velocity of 475 m/s when it penetrates a wooden door to a depth of 3.5 cm. Assuming the frictional force that stops the bullet is constant, how long does it take from the time the bullet hits the door till it comes to a stop? 1.5E-4 s 7.4E-5 s 4.5E-2 s 3.7E-3 s

1.5E-4 s

The flow rate of a liquid through a 4.0-cm-radius pipe is 0.0080 m3/s. The average fluid speed in the pipe is 0.040 m/s. 0.0050 m/s. 0.16 m/s. 1.6 m/s. 16 m/s.

1.6 m/s.

An unfueled 1 000-kg experimental rocket sled on level frictionless rails is loaded with 50 kg of propellant. It exhausts the propellant in a 20-s "burn." If the rocket, initially at rest, moves at 160 m/s after the burn, what impulse is experienced by the rocket sled? 1.1 × 10^5 kg·m/s 1.6 × 10^5 kg·m/s 1.5 × 10^5 kg·m/s 1.9 × 10^5 kg·m/s

1.6 × 10^5 kg·m/s

An airliner with mass 90 000 kg is flying at 900 km/h at a height of 15.0 km. What is its total energy (kinetic + potential) if the total was 0 when the airliner was at rest on the ground? 5.0E+10 J 3.6E+10 J 1.3E+10 J zero 1.6E+10 J

1.6E+10 J

A baseball pitcher loosens up his pitching arm. He tosses a 0.20-kg ball using only the rotation of his forearm, 0.28 m in length, to accelerate the ball. What is the moment of inertia of the ball alone as it moves in a circular arc with a radius of 0.28 m? 3.1E-3 kg·m2 1.6E-2 kg·m2 3.1E-2 kg·m2 1.1E-2 kg·m2 5.6E-2 kg·m2

1.6E-2 kg·m2

An object when orbiting the Earth at a height of three Earth radii from the center of the Earth has a weight of 2.0 N. What is the object's mass? (g at the surface of the Earth is 9.80 m/s2) 0.22 kg 18 kg 1.8 kg 0.46 kg

1.8 kg

For any object orbiting the Sun, Kepler's law may be written T2 = kr3. If T is measured in years and r in units of the Earth's distance from the Sun, then k = 1. What, therefore, is the time (in years) for Mars to orbit the Sun if its mean radius from the Sun is 1.5 times the Earth's distance from the Sun? 1.8 years 2.8 years 3.4 years 4.2 years

1.8 years

In addition to its weight, what force is needed to lift a wire ring of radius 2.0 cm from the surface of blood plasma? The surface tension of blood plasma is 7.3 × 10¯2 N/m. 1.8E+1 N 3.7E-2 N 9.2E-3 N 1.8E-2 N

1.8E-2 N

A 0.10-kg ball is moving at 7.0 m/s when it is hit by a bat, causing it to reverse direction and have a speed of 12.0 m/s. What is the change in the magnitude of the momentum of the ball? 0.50 kg⋅m/s 5.0 kg⋅m/s 0.70 kg⋅m/s 1.9 kg⋅m/s 1.2 kg⋅m/s

1.9 kg⋅m/s

Alex throws a 0.25-kg rubber ball down onto the floor. The ball's speed just before impact is 4.5 m/s, and just after is 2.9 m/s. What is the change in the magnitude of the ball's momentum? 0.39 kg⋅m/s 1.9 kg⋅m/s 1.1 kg⋅m/s 0.73 kg⋅m/s 7.4 kg⋅m/s

1.9 kg⋅m/s

A Boeing-737 airliner has a mass of 20 500 kg. The total area of the wings is 105 m2. What must be the pressure difference between the top and bottom of the wings to keep the airplane up? 1.91E+3 Pa 1.99E+1 Pa 1.95E+2 Pa 1.92E+3 Pa 1.81E+3 Pa

1.91E+3 Pa

A 1 200-kg experimental rocket sled on level frictionless rails is loaded with 55.0 kg of propellant. it exhausts the propellant in a 20-s burn. If the rocket, initially at rest, moves at 155 m/s after the burn, what impulse is experienced by the rocket sled? 8.5E + 3 kg. m/s 1.3E + 5 kg. m/s 1.9E + 5 kg. m/s 8.5E + 5 kg. m/s 2.1E + 5 kg. m/s

1.9E + 5 kg. m/s

A solid rock, suspended in air by a spring scale, has a measured mass of 8.50 kg. When the rock is submerged in water, the scale reads 4.00 kg. What is the density of the rock? (water density = 1 000 kg/m3) 6.8E+2 kg/m3 8.9E+2 kg/m3 3.2E+2 kg/m3 1.9E+3 kg/m3 ​1.9E+6 kg/m3

1.9E+3 kg/m3

A 1 200-kg experimental rocket sled on level frictionless rails is loaded with 55.0 kg of propellant. It exhausts the propellant in a 20-s "burn." If the rocket, initially at rest, moves at 155 m/s after the burn, what impulse is experienced by the rocket sled? 8.5E+3 kg⋅m/s 1.3E+5 kg⋅m/s 1.9E+5 kg⋅m/s 8.5E+5 kg⋅m/s 2.1E+5 kg⋅m/s

1.9E+5 kg⋅m/s

An Earth satellite is orbiting at a distance from the Earth's surface equal to one Earth radius (4 000 miles). At this location, the acceleration due to gravity is what factor times the value of g at the Earth's surface? There is no acceleration since the satellite is in orbit. 2 1/2 1/4

1/4

A 2 500-kg car moving north collides with a 2 000-kg car moving west. After the collision, the cars stick together and move at an angle of 45° north of west at a speed of 8.0 m/s. What was the initial speed of the 2 500-kg car? 20 m/s 10.2 m/s 14 m/s 9.3 m/s

10.2 m/s

How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 × 105 Pa) 1.00 m 9.80 m 10.3 m 32.2 m

10.3 m

In 1908 there was a huge explosion referred to as the Tunguska event which occurred in Siberia. Apparently this was caused by a very large meteorite, a small asteroid, or a comet colliding with the Earth. If the energy released, estimated at 5 × 1016 J, were from the kinetic energy of the object, what would have been its approximate mass if its speed had been 104 m/s? 10^6 kg 10^9 kg 10^12 kg 10^14 kg

10^9 kg

A rock is thrown straight up with an initial velocity of 15.0 m/s. Ignore energy lost to air friction. How high will the rock rise? 7.5 m 113 m 23.0 m 11.5 m 0.0871 m

11.5 m

A 100-W light bulb is left on for 8.0 hours. Over this period of time, how much energy was used by the bulb? 8.0E+2 J 2.9E+5 J 2.9E+6 J 1.34 hp 2.9E+4 J

2.9E+6 J

How much air must be pushed downward at 40.0 m/s to keep an 830-kg helicopter aloft? 20.8 kg/s 203 kg/s 33 200 kg/s 208 kg/s 193 kg/s

203 kg/s

Lonnie pitches a baseball of mass 0.500 kg. The ball arrives at home plate with a speed of 35.0 m/s and is batted straight back to Lonnie with a return speed of 50.0 m/s. If the bat is in contact with the ball for 0.055 s, what is the impulse experienced by the ball? 7.50 N⋅s 42.5 N⋅s 773 N⋅s 17.5 N⋅s 25.0 N⋅s

42.5 N⋅s

Suppose a wheel is initially rotating at 10.0 rad/s while undergoing constant angular acceleration reaching a speed of 30.0 rad/s after 36.0 seconds have elapsed. How long after the initial time has the wheel undergone half of the angular displacement that it will have gone through during the entire 36.0-second interval? 0.556 s 22.2 s 18.0 s 56.5 s

22.2 s

An automobile accelerates from zero to 36.72 m/s in 6.80 s. The wheels have a diameter of 0.450 m. What is the average angular acceleration of each wheel? 12.0 rad/s2 24.0 rad/s2 33.6 rad/s2 21.9 rad/s2 18.0 rad/s2

24.0 rad/s2

Jerome pitches a baseball of mass 0.300 kg. The ball arrives at home plate with a speed of 40.0 m/s and is batted straight back to Jerome with a return speed of 52.0 m/s. What is the magnitude of change in the ball's momentum? 3.60 kg⋅m/s 12.0 kg⋅m/s 15.6 kg⋅m/s 27.6 kg⋅m/s 12.0 kg⋅m/s

27.6 kg⋅m/s

Motor 1 does 30 J of work in 10 s, motor 2 does 2 J of work in 5 s, motor 3 does 7 J of work in 2 s, and motor 4 does 7 J of work in 3 s. List the motors in order of highest power produced to lowest power produced. 2, 4, 1, 3 3, 4, 1, 2 1, 3, 4, 2 3, 1, 4, 2

3, 1, 4, 2

A "double satellite" is launched into space. It consists of a satellite of mass m and another satellite of mass 5m. The connecting mechanism of these satellites is an explosive bolt and a compressed spring, both of negligible mass. The bolt is exploded and the satellites drift apart having been pushed by the spring. When the less massive satellite has moved a distance of 2.5 m from the center of mass of the double satellite, how far away from it is the satellite of greater mass? 3.0 m 2.0 m 0.50 m 4.5 m

3.0 m

Samantha pushes a 60-N crate up a ramp 30 m in length and inclined at 10° with the horizontal. What potential energy change does the crate experience? 1.8E+3 J 1.8E+3 J 1.2E+1 J 3.1E+2 J 1.0E+4 J

3.1E+2 J

A point on the rim of a 0.30-m-radius rotating wheel has a tangential speed of 5.0 m/s. What is the tangential speed of a point 0.20 m from the center of the same wheel? 1.0 m/s 0.50 m/s 3.3 m/s 17 m/s

3.3 m/s

Ann the Astronaut weighs 65.0 kg. She is space walking outside the space shuttle and pushes a 350.0-kg satellite away from the shuttle at 0.70 m/s. What speed does this give Ann as she moves toward the shuttle? 0.13 m/s 3.8 m/s 590 m/s 290 m/s 7.7 m/s

3.8 m/s

A car wash nozzle directs a steady stream of water at 1.10 kg/s, with a speed of 30.0 m/s, against a car window. What force does the water exert on the glass? Assume the water does not splash back. 27.3 N 33.0 N 31.1 N 0.367 N 1.10 N

33.0 N

A professional skier reaches a speed of 58.0 m/s on a 30° ski slope. Ignoring friction, what was the minimum distance along the slope the skier would have had to travel, starting from rest? 172 m 198 m 343 m 5.92 m 0.291 m

343 m

By how much is the energy stored in a Hooke's law spring increased when its stretch is increased from 7.00 cm to 15.00 cm? 159% 259% 359% 459% The correct answer is not given.

359%

A jet engine develops 1.50 × 105 N of thrust in moving an airplane forward at a speed of 900 km/h. What is the power developed by the engine? 1 350 kW 380 MW 37.5 MW 42.5 MW 32.5 MW

37.5 MW

A point on the rim of a 0.25-m radius rotating wheel has a centripetal acceleration of 4.0 m/s2. What is the angular speed of the wheel? 1.0 rad/s 2.0 rad/s 3.2 rad/s 4.0 rad/s

4.0 rad/s

A point on the rim of a 0.25-m-radius rotating wheel has a centripetal acceleration of 4.0 m/s2. What is the angular speed of the wheel? 1.0 rad/s 2.0 rad/s 3.2 rad/s 4.0 rad/s

4.0 rad/s

A ventilation fan with a moment of inertia of 0.040 kg·m2 has a net torque of 0.160 N·m applied to it. What angular acceleration does it experience? 0.0064 rad/s2 4.0 rad/s2 0.25 rad/s2 0.40 rad/s2 0.20 rad/s2

4.0 rad/s2

A Hooke's law spring is mounted horizontally over a frictionless surface. The spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. What compression of the spring would result in the mass attaining 4 times the speed received in the situation described here? 2.00d 0.50d 4.00d 16.00d

4.00d

A simple pendulum, 2.6 m in length, is released with a push when the support string is at an angle of 45.0° from the vertical. If the initial speed of the suspended mass is 1.25 m/s when at the release point, what is its speed at the bottom of the swing? (g = 9.8 m/s2) 4.1 m/s 3.9 m/s 4.1 m/s 16 m/s 7.2 m/s

4.1 m/s(1st)

Preston pushes a wheelbarrow weighing 480 N to the top of a 45.0-m ramp, inclined at 22.0° with the horizontal, and leaves it. Tamara accidentally bumps the wheelbarrow. It slides back down the ramp, during which an 85.0-N frictional force acts on it over the 45.0 m. What is the wheelbarrow's kinetic energy at the bottom at of the ramp? (g = 9.8 m/s2) 1.4E+3 J 1.6E+4 J 1.2E+4 J 8.1E+3 J 4.3E+3 J

4.3E+3 J

A 26.0-N crate starting at rest slides down a rough 4.8-m-long ramp, inclined at 21.0° with the horizontal. 18 J of energy is lost to friction. What will be the speed of the crate at the bottom of the incline? 27.1 m/s 5.81 m/s 6.36 m/s 4.49 m/s

4.49 m/s

A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape. Each baton was 0.70 m long and each ball on the end is 0.10 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis through the center perpendicular to both rods? 7.0E-3 kg·m2 2.5E-2 kg·m2 1.2E-2 kg·m2 4.9E-2 kg·m2 7.0E-2 kg·m2

4.9E-2 kg·m2

A baseball catcher puts on an exhibition by catching a 0.175-kg ball dropped from a helicopter at a height of 89.0 m. What is the speed of the ball just before it hits the catcher's glove 1.00 m above the ground? (g = 9.80 m/s2 and ignore air resistance) 41.5 m/s 0.482 m/s 1 730 m/s 29.4 m/s 42.0 m/s

41.5 m/s

A rotating flywheel can be used as a method to store energy. If it has 2.00 × 106 J of kinetic energy when rotating at 400 rad/s, and if a frictional torque of 4.00 Nm acts on the system, in what interval of time would the flywheel come to rest? 2 500 min 41.7 min 25.0 min 167 min

41.7 min

A 35.0-N crate is pulled up a 4.0-m inclined plane by a worker at constant velocity. If the plane is inclined at an angle of 37° to the horizontal and there exists a constant frictional force of 25.0 N between the crate and the surface, what is the force applied by the worker? zero 3.95 N 21.1 N 46.1 N 84.2 N

46.1 N

The net force acting on a 4.92-kg object is given by Fx = (10 − x) N, where Fx is in newtons and x is in meters. How much work is done on the object as it moves from x = 0 to x = 12.4 m? 61.0 J 12.4 J 47.1 J 23.6 J 35.3 J

47.1 J

A Hooke's law spring is compressed a distance d and is used to launch a mass m vertically to a height h above its starting position. Under double the compression, the spring is now used to launch the mass. How high does the mass now rise above its starting position? 2h h 3h 4h

4h

A pile driver drives a post into the ground. The mass of the pile driver is 2 600 kg and it is dropped through a height of 9.0 m on each stroke. If the resisting force of the ground is 4.0 × 106 N, how far is the post driven in on each stroke? 9.2E+1 cm 5.9E-3 cm 7.1E-4 cm 5.7E-2 cm

5.7E-2 cm

A point on the rim of a 0.15-m-radius rotating disk has a centripetal acceleration of 5.0 m/s2. What is the angular speed of a point 0.075 m from the center of the disk? 0.89 rad/s 1.6 rad/s 3.2 rad/s 5.8 rad/s

5.8 rad/s

A piece of aluminum has density 2.70 g/cm3 and mass 770 g. The aluminum is submerged in a container of oil of density 0.650 g/cm3. A spring balance is attached with string to the piece of aluminum. What reading will the balance register in grams (g) for the submerged metal? 955 g 185 g 585 g 2 430 g 1 010 g

585 g

A speed boat requires 85.0 kW to move at a constant speed of 14.0 m/s. What is the resistive force of the water at this speed? 1 190 N 6 070 N 6 170 N 5 970 N 1 290 N

6 070 N

A disk of mass m moving in the positive x direction collides with a stationary disk, also of mass m. The first disk moves in a direction θ1 with respect to the x axis, and the second disk moves off in a direction of θ2 below the x axis, as shown in the figure. PICTURE If v = 10 m/s, θ1 = 30°, and v1f = 8 m/s, what is v2f? 6.9 m/s 6.1 m/s 2.0 m/s 8.7 m/s

6.1 m/s

Two hoops or rings (I = MR2) are centered, lying on a turntable. The smaller ring has radius = 0.05 m; the larger has radius = 0.10 m. Both have a mass of 5.0 kg. What is the total moment of inertia as the turntable spins? Ignore the mass of the turntable. 7.5E-1 kg·m2 1.1E-1 kg·m2 1.3E-2 kg·m2 6.3E-2 kg·m2 5.0E-2 kg·m2

6.3E-2 kg·m2

Atmospheric pressure is 1.00 × 105 N/m2, and the density of air is 1.29 kg/m3. If the density of air is constant as you get higher and higher, calculate the height of the atmosphere needed to produce this pressure. 1 260 m 77 000 m 7 900 m 10 300 m

7 900 m

When lying down, the gauge pressure of the blood at a patient's heart is 13.3 kPa. If the patient suddenly stands up and her body doesn't compensate quickly enough for the pressure changes, what would be the pressure at her head, 55.0 cm above her heart? The density of blood is 1 060 kg/m3. 7.59E+3 Pa 5.71E+3 Pa 1.90E+4 Pa 5.85E+5 Pa

7.59E+3 Pa

A 0.30-kg rock is swung in a circular path and in a vertical plane on a 0.25-m-length string. At the top of the path, the angular speed is 12.0 rad/s. What is the tension in the string at that point? 7.9 N 16 N 18 N 83 N

7.9 N

A worker pushes a sled with a force of 38.0 N over a level distance of 3.60 m. If a frictional force of 16.0 N acts on the wheelbarrow in a direction opposite to that of the worker, what net work is done on the wheelbarrow? 194 J 137 J 57.6 J 79.2 J 6.11 J

79.2 J

Alex throws a 0.250-kg rubber ball down onto the floor. The ball's speed just before impact is 5.30 m/s, and just after is 3.71 m/s. If the ball is in contact with the floor for 0.028 s, what is the magnitude of the average force applied by the floor on the ball? 80.4 N 14.2 N 47.3 N 33.1 N 2.25 N

80.4 N

By what factor is the total pressure greater at a depth of 900 m in water than at the surface where pressure is one atmosphere? (water density = 1.0 × 103 kg/m3, 1 atmosphere pressure = 1.01 × 105 N/m2, and g = 9.8 m/s2) 8.9 88 98 78 8 800

88

The Greenland ice sheet can be one km thick. Estimate the pressure underneath the ice. (The density of ice is 918 kg/m3.) 9.0 × 10^5 Pa (9 atm) 2.5 × 10^6 Pa (25 atm) 4.5 × 10^6 Pa (45 atm) 9.0 × 10^6 Pa (90 atm)

9.0 × 10^6 Pa (90 atm)

A uranium nucleus (mass 238 units) at rest decays into a helium nucleus (mass 4.0 units) and a thorium nucleus (mass 234 units). If the speed of the helium nucleus is 5.5 × 105 m/s, what is the speed of the thorium nucleus? 9.4E+3 m/s 3.2E+7 m/s 3.4E+3 m/s 9.4E+7 m/s 1.9E-1 m/s

9.4E+3 m/s

If the column of mercury in a barometer stands at 73.0 cm, what is the atmospheric pressure? (The density of mercury is 13.6 × 103 kg/m3 and g = 9.80 m/s2) 9.73E+4 N/m2 9.73E+6 N/m2 1.17E+5 N/m2 1.83E+3 N/m2 1.01E+5 N/m2

9.73E+4 N/m2

A 2 500-kg car is moving at 2.30 m/s. How fast must a 1.5-kg toy car be moving so that the two have the same kinetic energy? 61.9 m/s 3.97 m/s 93.9 m/s 6 610 m/s

93.9 m/s

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2, what tangential acceleration does that point experience? 1.2 m/s2 2.0 m/s2 4.0 m/s2 Cannot determine with the information given.

Cannot determine with the information given.

A heavily loaded boat is floating in a pond. The boat sinks because of a leak. What happens to the surface level of the pond? It stays the same. It goes up. It goes down. More information is needed to reach a conclusion.

It goes down.

An ice cube with a small solid steel sphere frozen inside floats in a glass of water filled to the brim. What happens to the level of water in the glass as a result of the ice melting? It goes up, overflowing. It stays the same. It goes down. It depends on air pressure, thus the answer is indeterminate.

It goes down.

Neglecting gravity, doubling the exhaust velocity from a single stage rocket initially at rest changes the final kinetic energy of the burnout stage by what factor? Assume all other variables, such as the mass of the rocket and the mass of the fuel, do not change. It is the same. It doubles. It quadruples. It increases by a factor of 1.693.

It quadruples.

For a point on a spinning disc in uniform circular motion, which of the following is not constant? Its angular speed. Its angular acceleration. Its centripetal acceleration. The magnitude of its total acceleration.

Its centripetal acceleration.

The dimensional equivalence of the quantity "momentum" in terms of the fundamental quantities (mass, length, time) is: MLT−1. ML2T−2. MLT. MLT−2.

MLT−1.

The quantity "pressure" expressed in terms of the fundamental quantities (mass, length, time) is equivalent to MLT−1. ML−1T−2. M2L−1T−3. a dimensionless quantity.

ML−1T−2.

An object of mass m is on the surface of the Earth. The distance to the Sun and the Moon are dS and dM, and the masses of the Sun and Moon are MS and MM. What is the ratio of the gravitational force from the Sun to that of the Moon on the object? ​ MSMM /dSdM MSMM /d2Sd2M MSd2M /MMd2M MMd2S /MSd2M

MSd2M /MMd2M

The acceleration due to gravity at the surface of Planet X is 10 m/s2. What is the acceleration due to gravity at an altitude of 3 000 km above the surface of this planet? 10 m/s2 8.0 m/s2 4.4 m/s2 More information is needed.

More information is needed.

Two masses collide and stick together. Before the collision one of the masses was at rest. Is there a situation in which the kinetic energy is conserved in such a collision? Yes, if the less massive particle is the one initially at rest Yes, if the more massive particle is the one initially at rest Yes, if the two particles have the same mass No, kinetic energy is always lost is such a collision

No, kinetic energy is always lost is such a collision

Two particles collide, one of them initially being at rest. Is it possible for both particles to be at rest after the collision? If the collision is perfectly inelastic, then this happens. If the collision is elastic, then this happens. This can happen sometimes if the more massive particle was at rest. No.

No.

Object 1 has twice the mass of Object 2. Each of the objects has the same magnitude of momentum. Which of the following statements is true? Both objects can have the same kinetic energy. One object has 0.707 times the kinetic energy of the other. One object has twice the kinetic energy of the other. One object has 4 times the kinetic energy of the other.

One object has twice the kinetic energy of the other.

Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular accelerations of the point. Both are zero. Only the angular acceleration is zero. Only the linear acceleration is zero. Neither is zero.

Only the angular acceleration is zero.

Consider a point on a bicycle wheel as the wheel makes exactly four complete revolutions about a fixed axis. Compare the linear and angular displacement of the point. Both are zero. Only the angular displacement is zero. Only the linear displacement is zero. Neither is zero.

Only the linear displacement is zero.

A student has to work the following problem: A block is being pulled along at constant speed on a horizontal surface a distance d by a rope supplying a force F at an angle of elevation q. The surface has a frictional force acting during this motion. How much work was done by friction during this motion? The student calculates the value to be -Fdsinq. How does this value compare to the correct value? It is the correct value. It is too high. It is too low. The answer cannot be found until it is known whether q is greater than, less than, or equal to 45°.

The answer cannot be found until it is known whether q is greater than, less than, or equal to 45°.

Three different-mass projectiles are launched from the top of a building each at different angles of elevation. Each particle has the same initial kinetic energy. Which particle has the greatest kinetic energy just as it impacts with the ground? The one launched at the highest angle of elevation. The one with the highest mass. The one with the lowest mass. They all will have the same kinetic energy on impact.

The one with the highest mass.

In an automobile collision, how does an airbag lessen the blow to the passenger? Assume as a result of the collision, the passenger stops. The air bag decreases the momentum change of the passenger in the collision. During the collision, the force from the air bag is greater than would be the force from the windshield or dashboard so the passenger cannot hit the hard objects. The stopping impulse is the same for either the hard objects or the airbag. Unlike the windshield or dashboard, the air bag increases the time for the slowing process and thus decreases the average force on the passenger. The airbag is there to insure the seatbelt holds.

The stopping impulse is the same for either the hard objects or the airbag. Unlike the windshield or dashboard, the air bag increases the time for the slowing process and thus decreases the average force on the passenger.

Two blocks are released from the top of a building. One falls straight down while the other slides down a smooth ramp. If all friction is ignored, which one is moving faster when it reaches the bottom? The block that went straight down. The block that went down the ramp. They both will have the same speed. Insufficient information to work the problem.

They both will have the same speed.

A cylindrical space colony 8.00 km in diameter and 30.0 km long has been proposed as living quarters for future space explorers. Such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. All this would be held in place by the rotation of the cylinder about the long axis. How fast would such a cylinder have to rotate to produce a 1-g gravitational field at the walls of the cylinder?

a. 0.049 rad/s

In order to overcome a surface tension of a fluid, a force of 1.35 × 10−2 N is required to lift a wire ring of circumference 13.0 cm. What is the surface tension of the fluid?

a. 0.052 N/m

Anika and Sam are astronauts floating in space outside their spaceship. They are tethered together by a rope of length 10.5 m. They both begin pulling on the rope at the same time. Anika has mass of 80 kg, and Sam 100 kg. Because her mass is less, Anika reaches the middle of the rope first. Assuming the center of the rope is at the origin and that Anika and Sam start at 5.25 m and -5.25 m, respectively, where is Sam when Anika reaches the middle? 1.05 m 0.53 m 9.45 m 4.20 m

a. 1.05 m

A ventilation fan has blades 0.25 m long rotating at 20 rpm. What is the centripetal acceleration of a point on the outer tip of a blade? 1.1 m/s2 0.87 m/s2 0.55 m/s2 0.23 m/s2

a. 1.1 m/s2

A 14 500-N car on a hydraulic lift rests on a cylinder with a piston of radius 0.100 m. If a connecting cylinder with a piston of 0.050-m radius is driven by compressed air, what force must be applied to this smaller piston in order to lift the car? 1.45E+4 N 5.80E+1 N 4.13E+3 N 3.53E+3 N 3.63E+3 N

a. 1.45E+4 N

A 650-N billboard worker stands on a 4.00-m scaffold weighing 600 N and supported by vertical ropes at each end. How far would the worker stand from one of the supporting ropes to produce a tension of 660 N in that rope? 1.78 m 2.00 m 1.90 m 0.06 m 0.93 m

a. 1.78 m

A hoop (I = MR2) is rolling along the ground at 10 m/s. It comes to a hill and starts going up. Assuming no losses to friction, how far does it travel vertically up the hill before it stops? 10 m 3.7 m 5.1 m 7.7 m

a. 10 m

Water (density = 1.00 × 103 kg/m3) flows at 15.0 m/s through a pipe with radius 0.0400 m. The pipe goes up to the second floor of the building, 2.50 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor? 13.3 m/s 16.6 m/s 176 m/s 14.2 m/s 6.63 m/s

a. 13.3 m/s

A bus is designed to draw its power from a rotating flywheel that is brought up to its maximum speed (3000 rpm) by an electric motor. The flywheel is a solid cylinder of mass 250 kg and radius 0.500 m (Icylinder = MR2/2). If the bus requires an average power of 10.0 kW, how long will the flywheel rotate? 154 s 308 s 463 s 617 s

a. 154 s

An initially installed flywheel can store 106 J of kinetic energy when rotating at 300 rad/s. It is replaced by another flywheel of the same size but made of a stronger material. If its mass is the same as that of the original, and it is now capable of achieving a rotational speed of 425 rad/s, what maximum energy can be stored?

a. 2.01E+6 J

A planet has mass M = 8.00 × 1023 kg. At what distance will the centripetal acceleration of an orbiting space station be equal to the gravitational acceleration on Earth's surface? (G = 6.67 × 10-11 m3·kg-1·s-1) 2.33 × 106 m 5.44 × 1012 m 5.23 × 1014 m 1.18 × 1035 m

a. 2.33 × 106 m

A small sphere is allowed to fall through air, and when the sphere has a speed of 4.8 × 10-4 m/s, the viscous force on the sphere is 3.0 × 10-15 N. If the viscosity of air is 1.4 × 10-5 N·s/m2, what is the radius of the drop? 2.4E-8 m 8.4E-6 m 2.3E-7 m 8.5E-7 m

a. 2.4E-8 m

The escape speed from the surface of the Earth is 11.2 km/s. Estimate the escape speed for a spacecraft from the surface of the Moon. The Moon has a mass 1/81 that of Earth and a radius 0.25 that of Earth. 2.5 km/s 4.0 km/s 5.6 km/s 8.7 km/s

a. 2.5 km/s

A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape. Each baton was 0.70 m long and each ball on the end is 0.10 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis formed by one of the batons? 2.5E-2 kg·m2 7.0E-3 kg m2 1.2E-3 kg m2 4.9E-2 kg m2 7.0E-2 kg m2

a. 2.5E-2 kg·m2

A turntable has a moment of inertia of 3.00 × 10−2 kg·m2 and spins freely on a frictionless bearing at 25.0 rev/min. A 0.600-kg ball of putty is dropped vertically onto the turntable and sticks at a point 0.100 m from the center. What is the new rate of rotation of the system? 20.8 rev/min 22.7 rev/min 33.3 rev/min 27.2 rev/min

a. 20.8 rev/min

A uniform, horizontal beam of length 8.0 m and weight 42.4 N is attached at one end to a wall by a pin connection (so that it may rotate). A cable attached to the wall above the pin supports the opposite end. The cable makes an angle of 60.0° with the horizontal. What is the tension in the cable needed to maintain the beam in equilibrium? 24.5 N 49.0 N 294 N 4.59 N 171 N

a. 24.5 N

If a planet has 3 times the radius of the Earth, but has the same density as the Earth, what is the gravitational acceleration at the surface of the planet? (g = 9.80 m/s2)

a. 29.4 m/s2

Legend says that Archimedes, in determining whether or not the king's crown was made of pure gold, measured its volume by the water displacement method. If the density of gold is 19.3 g/cm3, and the crown's mass is 600 g, what volume would be necessary to prove that it is pure gold?

a. 3.1E+1 cm3

A centrifuge rotates at 100 rev/s (i.e., 628 rad/s). If the test tube places the suspension at 8.00 cm from the axis of rotation, by what factor are the terminal speeds of the settling particles increased as compared to sedimentation cause by gravity? 3.2E+3 3.2E+5 3.2E+4 5.0E+3 4.2E+3

a. 3.2E+3

A non-uniform rod of length L and mass M is pivoted about one end. The moment of inertia of this rod about its pivoted end is 1ML2/4. Attached to the rod is a mass 3M at its midpoint and at the end opposite the pivot is another mass 2M. What is the moment of inertia of this configuration about the pivot? 3ML2 2ML2 4ML2 5ML2

a. 3ML2

A solid sphere of mass 2.50 kg and radius 0.120 m starts from rest at the top of a ramp inclined 15.0° and rolls to the bottom. The upper end of the ramp is 1.60 m higher than the lower end. What is the linear speed of the sphere when it reaches the bottom of the ramp? (Note: I = 2/5 MR2 for a solid sphere, and g = 9.80 m/s2.) 4.73 m/s 22.4 m/s 5.60 m/s 3.31 m/s

a. 4.73 m/s

What angular speed (in revolutions/second) is needed for a centrifuge to produce an acceleration of 1 000 g at a radius arm of 15.0 cm? 40.7 rev/s 75.4 rev/s 81.4 rev/s 151 rev/s

a. 40.7 rev/s

A planet has mass M = 8.00 × 1023 kg. The centripetal acceleration of an orbiting space station is equal to the gravitational acceleration on Earth's surface. What is the speed of the space station? (G = 6.67 × 10-11 m3·kg-1·s-2) 7.30 × 10^6 m/s 5.34 × 10^13 m/s 1.10 × 10^17 m/s 1.20 × 10^34 m/s

a. 7.30 × 106 m/s

A Ferris wheel, rotating initially at an angular speed of 0.500 rad/s, accelerates over a 10.4-s interval at a rate of 0.040 0 rad/s2. What angular displacement does the Ferris wheel undergo in this 10.4-s interval? 7.4 rad 0.21 rad 2.2 rad 0.0019 rad

a. 7.4 rad

A 0.30-kg rock is swung in a circular path and in a vertical plane on a 0.25-m-length string. At the top of the path, the angular speed is 12.0 rad/s. What is the tension in the string at that point? 7.9 N 16 N 18 N 83 N

a. 7.9 N

A heavily loaded boat is floating in a pond. The boat starts to sink because of a leak but quick action plugging the leak stops the boat from going under although it is now deeper in the water. What happens to the surface level of the pond? It stays the same It goes down It goes up More information is needed to reach a conclusion

a. It stays the same.

Two objects are in circular orbits of different radii around the Sun. Which object has the highest orbital speed? The one closest to the Sun. The one farthest from the Sun. Once in orbit around the Sun, all objects have the same orbital speed regardless of distance from the Sun. It is the greater radius and greater resulting circumference that causes the object farther from the Sun to take longer to complete an orbit. his cannot be found without knowing the relative masses of the objects.

a. The one closest to the Sun.

A container is filled with water and the pressure at the container bottom is P. If the container is instead filled with oil having specific gravity 0.80, what new bottom pressure results? a pressure < P a pressure > P the same pressure P this is unable to be determined with the information given

a. a pressure < P

If a two-body collision is not head-on, then we may always assume that: momentum is conserved. kinetic energy is conserved neither momentum nor kinetic energy are conserved both momentum and kinetic energy are conserved

a. momentum is conserved.

An artificial Earth satellite in an elliptical orbit has its greatest centripetal acceleration when it is at what location? nearest the Earth farthest from the Earth between Earth and Moon between Earth and Sun

a. nearest the Earth

At what location does an artificial Earth satellite in elliptical orbit have its greatest speed? Nearest the Earth Farthest from the Earth Between the Earth and the Moon Between the Earth and the Sun

a. nearest the Earth

Which of the following is that form of energy associated with an object's location in a conservative force field? potential kinetic thermal bio-chemical

a. potential

Consider a point on a bicycle tire that is momentarily in contact with the ground as the bicycle rolls across the ground with constant speed. The direction for the acceleration for this point at that moment is: Upward Forward Down toward the ground At the moment the acceleration is zero None of the above

a. upward.

A water pipe with inner radius r1 is connected to a junction with two equal-diameter pipes. Water flows through each of the two pipes with a speed of v. If the diameter of each of the two pipes is ¼ the diameter of the single pipe, what is the flow rate in the single pipe? v/8 v/4 4v 8v

a. v/8

A 1.00-kg ball has zero kinetic and potential energy. Ernie drops the ball into a 10.0-m-deep well. Just before the ball hits the bottom, the sum of its kinetic and potential energy is: zero 98 J - 98 J -196 J 196 J

a. zero.

A billiard ball is moving in the x-direction at 33.4 cm/s and strikes another billiard ball moving in the y-direction at 38.9 cm/s. As a result of the collision, the first ball moves at 50.6 cm/s, and the second ball stops. In what final direction does the first ball move? in the x-direction at an angle of 49.4° ccw from the x-direction at an angle of 40.6° ccw from the x-direction at an angle of 56.6° ccw from the x-direction Such a collision cannot happen.

at an angle of 49.4° ccw from the x-direction

A Ferris wheel starts from rest and builds up to a final angular speed of 1.9 rad/s while rotating through an angular displacement of 4.9 rad. What is its average angular acceleration? 9.3 rad/s2 0.37 rad/s2 2.6 rad/s2 0.39 rad/s2

b. 0.37 rad/s2

A ventilation fan has blades 0.25 m in radius rotating at 20 rpm. What is the tangential speed of each blade tip?

b. 0.52 m/s

An object with mass m and moment of inertia I is spinning with an angular momentum L. Its kinetic energy is: 0.5I2/L 0.5L2/I. 0.5L2/m 0.5I2/m

b. 0.5L2/I.

A tetherball is attached to a pole with a 2.0-m rope. It is circling at 0.20 rev/s. As the rope wraps around the pole, it shortens. How long is the rope when the ball is moving at 6.0 m/s? 1.8 m 0.83 m 1.2 m 1.0 m

b. 0.83 m

A turntable has a moment of inertia of 3.00 × 10−2 kg·m2 and spins freely on a frictionless bearing at 25.0 rev/min. A 0.600-kg ball of putty is dropped vertically on the turntable and sticks at a point 0.100 m from the center. By what factor does the angular momentum of the system change after the putty is dropped onto the turntable? 1.22 1.00 (no change) 0.820 1.20

b. 1.00 (no change)

A uniform meterstick balances on a fulcrum placed at the 70.0-cm mark when a weight w is placed at the 90.0-cm mark. What is the weight of the meterstick? 0.90w 1.0w 0.70w w/1.0 w

b. 1.0w

A cube-shaped box is sitting on the floor. The pressure the box exerts on the floor is 235 Pa. If the density of the box is 21.0 kg/m3, what is the length of each side of the box? 110 m 1.14 m 0.00910 m 11.2 m

b. 1.14 m

A bucket of water with total mass 21.0 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder, with crank, at the top of a well. The moment of inertia of the cylinder and crank is 0.21 kg m2. The bucket is raised to the top of the well and released to fall back into the well. What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 5.4 m/s? 4.8E+2 J 1.2E+3 J 3.1E+2 J 1.2E+4 J

b. 1.2E+3 J

A 60-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth, frictionless wall. If the ladder has a mass of 25 kg and it makes an angle of 60° with the ground, find the force of friction of the ground on the foot of the ladder. 1.4E+1 N 1.6E+2 N 2.4E+2 N 2.7E+2 N 4.2E+3 N

b. 1.6E+2 N

A figure skater on ice with arms extended, spins at a rate of 3.5 rev/s. After he draws his arms in, he spins at 6.0 rev/s. By what factor does the skater's kinetic energy change when he draws his arms in? 0.12 1.7 2.4 0.58

b. 1.7

A cylinder with its mass concentrated toward the center has a moment of inertia of 0.2MR2. If this cylinder is rolling without slipping along a level surface with a linear speed v, what is the ratio of its rotational kinetic energy to its linear kinetic energy? 1/10 1/5 1/2 1/1

b. 1/5

A non-uniform round object of mass M and radius R is found to have its total kinetic energy to be given by KE = 3/5Mv2 when rolling down an incline. What is this object's moment of inertia? MR2 MR2 MR2 MR2

b. 1/5 MR2

Water is sent from a fire hose at 34.5 m/s at an angle of 30.0° above the horizontal. What is the maximum height reached by the water, assuming the fire hose is level with the ground? 7.59 m 15.2 m 30.4 m 300 m 60.7 m

b. 15.2 m

An object weighs 300 N. If the gravitational constant G were half of what it is currently, what would the weight of the object be? 450 N 150 N 75 N 300 N 600 N

b. 150 N

A Hooke's law spring is compressed 14.6 cm from equilibrium, and the potential energy stored is 76.0 J. What compression (as measured from equilibrium) would result in 100 J being stored in this case?

b. 16.7 cm

A man standing on frictionless ice throws a 1.00-kg mass at 29.0 m/s at an angle of elevation of 50.0°. What was the magnitude of the man's momentum immediately after throwing the mass?

b. 18.6 kg·m/s

A ventilation fan with a moment of inertia of 0.0340 kg·m2 has a net torque of 0.110 N m applied to it. If it starts from rest, what kinetic energy will it have 10.4 s later? 1.84 J 19.2 J 33.6 J 38.5 J

b. 19.2 J

An asteroid in orbit about the Sun has a linear speed of 4 km/s when at a distance of closest approach d from the Sun. What is its linear speed when it is at its greatest distance from the Sun, a distance 2d? 1 km/s 2 km/s 8 km/s 16 km/s

b. 2 km/s

Three masses are positioned along the x-axis. Their masses and positions are m1 = m with x1 = 1.0 m, m2 = 2m with x2 = 2.0 m, and m3 = 9.0m with x3 = 3.0 m. What is the x-coordinate of the center of mass of this system, to the nearest tenth? 4.7 m 2.7 m 2.0 m 0.7 m

b. 2.7 m

A bucket of water with total mass 26 kg is attached to a rope, which in turn is wound around a 0.04-m radius cylinder at the top of a well. A crank with a turning radius of 0.20 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.11 kg·m2. If the bucket is raised to the top of the well and released, what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible, that cylinder turns on frictionless bearings and that g = 9.8 m/s2.)

b. 2.7 m/s2

Calculate the linear speed due to the Earth's rotation for a person at a point on its surface located at 60.0° N latitude. The radius of the Earth is 6.40 × 106 m. 403 m/s 233 m/s 37.0 m/s 74.1 m/s

b. 233 m/s

A 0.30-m-radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s2 over a 5.0-s interval? 12.5 rad 20 rad 2.0 rad 0.50 rad

b. 25 rad

A rotating flywheel can be used as a method to store energy. If it is required that such a device be able to store up to a maximum of 2.00 × 106 J when rotating at 400 rad/s, what moment of inertia is required? 50.0 kg m2 25.0 kg m2 12.5 kg m2 6.30 kg m2

b. 25.0 kg m2

Air pressure is 1.00 × 105 N/m2, air density is 1.30 kg/m3, and the density of soft drinks is 1.00 × 103 kg/m3. If one blows carefully across the top of a straw sticking up 0.10 m from the liquid in a soft drink can, it is possible to make the soft drink rise half way up the straw and stay there. How fast must the air be blown across the top of the straw? 0.036 m/s 27 m/s 1.4 m/s 19 m/s 750 m/s

b. 27 m/s

A machinist needs to punch a 5.0-cm-radius hole in a steel plate which is 0.45 cm thick. If the ultimate shear strength of steel is 2.50 × 108 Pa, what is the force required to accomplish this task? 8.8E+5 N 3.5E+5 N 5.6E+6 N 1.1E+8 N

b. 3.5E+5 N

If the mass of Mars is 0.107 times that of Earth, and its radius is 0.530 that of Earth, estimate the gravitational acceleration g at the surface of Mars. (gearth = 9.80 m/s2) 5.50 m/s2 3.73 m/s2 2.20 m/s2 6.40 m/s2 4.20 m/s2

b. 3.73 m/s2

How large a force is necessary to stretch a 1.1-mm-diameter steel wire (Y = 2.0 × 1011 N/m2) by 2.0%? 3.8E+ 6 N 3.8E+ 3 N 3.8E+ 6 N 7.6E+ 7 N 3.8E+ 3 N

b. 3.8E+3 N

Two children seat themselves on a seesaw. The one on the left has a weight of 300 N while the one on the right weighs 200 N. The fulcrum is at the midpoint of the seesaw. If the child on the right is not at the end but is 1.50 m from the fulcrum and the seesaw is balanced, what is the torque provided by the weight of the child on the left? (Take ccw as positive.) -300 N.m 300 N.m 450 N.m -450 N.m 150 N.m

b. 300 N·m

Geosynchronous satellites orbit the Earth at a distance of 42 000 km from the Earth's center. Their angular speed at this height is the same as the rotation rate of the Earth, so they appear stationary at certain locations in the sky. What is the force acting on a 1 500-kg satellite at this height? 85.0 N 333 N 404 N 457 N

b. 333 N

A solid object is made of two materials, one material having density of 2 500 kg/m3 and the other having density of 6 000 kg/m3. If the object contains equal volumes of the materials, what is its average density? 3 529 kg/m3 4 250 kg/m3 5 250 kg/m3 8 500 kg/m3 more information is needed

b. 4 250 kg/m3

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface. What is the speed of the satellite? (The radius of the Earth is 6.4 × 106 m, and G = 6.67 × 10−11 N × m2/kg2.)

b. 4 600 m/s

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15°, and rolls to the bottom without slipping. (For a cylinder I = MR2.) The upper end of the ramp is 1.5 m higher than the lower end.Find the linear speed of the cylinder when it reaches the bottom of the ramp. (g = 9.8 m/s2) 4.7 m/s 4.4 m/s 4.0 m/s 2.4 m/s

b. 4.4 m/s

A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.8 × 10−2 kg·m2, and a radius of 0.100 m. If it rolls down the lane without slipping at a linear speed of 4.30 m/s, what is its angular speed? 70.0 rad/s 43.0 rad/s 30.1 rad/s 0.430 rad/s 0.700 rad/s

b. 43.0 rad/s

A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.00 cm diameter narrows to 1.00 cm diameter, what is the pressure drop in the constricted section for airflow of 2.16 m/s in the 2.00-cm section? (Assume air density is 1.25 kg/m3.) 11.7 Pa 43.7 Pa 87.5 Pa 20.3 Pa 45.7 Pa

b. 43.7 Pa

A U-tube is partially filled with water and then an immiscible liquid is added to the right side. The top of the liquid is a distance h1 = 2.40 cm above the level of interface between the liquid and water. On the left side of the tube the top of the water is a distance h2 = 1.48 cm above the liquid-water interface on the right side. What is the density of the liquid in terms of the density of water, 1 000 kg/m3? 1 620 kg/m3 617 kg/m3 622 kg/m3 237 kg/m3

b. 617 kg/m3

What volume of water is displaced by a submerged 2.0-kg cylinder made of solid aluminum? (aluminum density = 2.7 × 103 kg/m3 and water density = 1.0 × 103 kg/m3) 5.4E+3 m3 7.4E-4 m3 7.4E+2 m3 5.4E-3 m3 6.4E-4 m3

b. 7.4E-4 m3

A bucket filled with water has a mass of 20.0 kg and is attached to a rope, which in turn, is wound around a 0.050-m radius cylinder at the top of a well. What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (g = 9.80 m/s2) 19.6 N.m 9.8 N.m 196 N.m 1.00 N.m 400 N.m

b. 9.8 N·m

Somewhere between the Earth and the Moon is a point where the gravitational attraction of the Earth is canceled by the gravitational pull of the Moon. The mass of the Moon is 1/81 that of the Earth. How far from the center of the Earth is this point? 8/9 the way to the Moon 9/10 the way to the Moon 3/4 the way to the Moon 80/81 the way to the Moon

b. 9/10 the way to the Moon

A car is going around a racetrack at constant speed. The curves around the track have different radii. In which turn is the magnitude of the car's acceleration the greatest? It is the greatest in the turn with the greatest radius. It is the greatest in the turn with the smallest radius. The acceleration is zero everywhere because of the constant speed More information is needed to determine the answer

b. It is the greatest in the turn with the smallest radius.

The quantity "angular momentum" (in terms of the fundamental quantities of mass, length, and time) is equivalent to: MLT-2 ML2T-1 ML2T-3 ML3T

b. ML2T−1.

Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular velocities of the point. Both are zero Only the angular velocity is constant Only the linear acceleration is zero Neither is zero

b. Only the angular velocity is constant

A rock is moving with speed v. If the mass of the rock were tripled and the speed were reduced to v/3, which of the following statements would be true? The kinetic energy of the rock is smaller than in the first case, but the momenta of both are the same The kinetic energy of the rock is smaller than in the first case, but the momenta of both are the same. The kinetic energies of the rocks are the same in both cases The kinetic energy of the rock is 1/9 its previous value

b. The kinetic energy of the rock is smaller than in the first case, but the momenta of both are the same.

In order to train for a high-g environment, an astronaut is placed in a centrifuge of radius several meters and rotated in a horizontal circle at constant speed. In this situation, in which direction is the net force on the astronaut? The net force is zero since the astronaut is moving at constant speed and thus the force has no direction. The net force is horizontal toward the center of the circle. The net force is between horizontal toward the center of the circle and straight up, the angle depending on the speed and the radius involved. The net force is down since gravity cannot be turned off.

b. The net force is horizontal toward the center of the circle.

If a nonzero torque is applied to an object, that object will experience: a constant angular speed. an angular acceleration. a constant moment of inertia. an increasing moment of inertia.

b. an angular acceleration.

Which of the following best describes the property of the period of orbital revolution for an Earth satellite? greater when the orbital radius is smaller greater when the orbital radius is larger independent of the orbital radius determined mainly by the satellites mass

b. greater when the orbital radius is larger

In a partially elastic collision between two objects with unequal mass: the velocity of one will increase by the amount that the velocity of the other decreases the momentum of one will increase by the amount that the momentum of the other decreases the energy of one increases by the amount that the energy of the other decreases the total momentum of the system will decrease

b. the momentum of one will increase by the amount that the momentum of the other decreases.

Two identical 7-kg bowling balls roll toward each other. The one on the left is moving at +4 m/s while the one on the right is moving at −4 m/s. What is the velocity of each ball after they collide elastically? +4 m/s, -4 m/s -4 m/s, +4 m/s -14 m/s, 14 m/s +14 m/s, -14 m/s

b. −4 m/s, +4 m/s

In order for a satellite to be geosynchronous, its orbit must: go over the North and South Poles. be over the equator. be over a single longitude. emit television signals.

be over the equator.

A point on the rim of a 0.25-m-radius fan blade has centripetal acceleration of 0.20 m/s2. Find the centripetal acceleration of a point 0.05 m from the center of the same wheel. 0.01 m/s2 0.02 m/s2 0.04 m/s2 0.08 m/s2

c. 0.04 m/s2

The bottom of a flat-bottomed aluminum boat has area = 4.10 m2 and mass = 65.0 kg. If two fishermen and their fishing gear with total mass of 305 kg are placed in the boat, how much lower will the boat ride in the water? (H2O density = 1.0 × 103 kg/m3) 0.0159 m 0.0585 m 0.0744 m 0.0902 m 1.25 m

c. 0.0744 m

A 1 500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 12.0 m/s. What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s2) 0.024 0.23 0.28 1.2 None of the above

c. 0.28

An ice skater spins at 3.5 rev/s with his arms are extended. He draws his arms in and spins at 8.3 rev/s. By what factor does his moment of inertia change in the process? 2.4 1.0 0.42 0.12

c. 0.42

A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.050 m. How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.15 m/s? 3.0 rev/s 1.5 rev/s 0.48 rev/s 0.24 rev/s

c. 0.48 rev/s

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is its angular speed at the instant it goes through an angular displacement of 7.00 rad? 280 rad/s 0.175 rad/s 0.592 rad/s 880 rad/s

c. 0.592 rad/s

A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2 over a 5.0-s interval. What is the tangential component of acceleration for a point on the outer edge of the tire during the 5.0-s interval? 33 m/s2 6.7 m/s2 0.60 m/s2 0.30 m/s2

c. 0.60 m/s2

A 75.0-kg halfback running north with a speed of 11.0 m/s is tackled by a 80.5-kg opponent running south at 7.5 m/s. The collision is perfectly inelastic. Compute the velocity of the two players just after the tackle. 9.2 m/s south 1.4 m/s south 1.4 m/s north 40 m/s north 9.2 m/s north

c. 1.4 m/s north

A 0.12-m-radius grinding wheel takes 6.0 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration? 5.6 rad/s2 0.22 rad/s2 1.5 rad/s2 0.080 rad/s2

c. 1.5 rad/s2

A substance is allowed to diffuse along a 10-cm length of tubing filled with water. The cross section of the tube is 5.3 cm2. If the diffusion coefficient is 5.0 × 10¯10 m2/s, and 6.5 × 10¯14 kg is transported along the tube in 16 s, what is the difference in the concentration levels of the substance at the two ends of the tube? 3.9E-1 kg/m3 4.3E-2 kg/m3 1.5E-3 kg/m3 8.1E-4 kg/m3

c. 1.5E-3 kg/m3

A hoop with mass, M, and radius, R, rolls along a level surface without slipping with a linear speed, v. What is the ratio of rotational to linear kinetic energy? (For a hoop, I = MR2.) 1/2 2/5 1/1 1/4

c. 1/1

A 0.650-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string. If the angular speed at the bottom is 8.00 rad/s, what is the tension in the string when the object is at the bottom of the circle? 27.2 N 20.8 N 14.4 N 6.37 N

c. 14.4 N

At what angle (relative to the horizontal) should a curve 52.0 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 11.6 m/s? (g = 9.80 m/s2) 1.30° 11.2° 14.8° 2.59°

c. 14.8°

A 5.0-kg mass is placed at (3.0, 4.0) m, and a 6.0-kg mass is placed at (3.0, −4.0) m. What is the moment of inertia of this system of masses about the x axis? 280 kg·m2 33 kg·m2 176 kg·m2 99 kg·m2 44 kg·m2

c. 176 kg·m2

An airplane in a wide sweeping "outside" loop can create zero gees inside the aircraft cabin. What must be the radius of curvature of the flight path for an aircraft moving at 150 m/s to create a condition of "weightlessness" inside the aircraft?

c. 2 300 m

At what speed will a car round a 52.0-m-radius curve, banked at a 40.0° angle, if no friction is required between the road and tires to prevent the car from slipping? (g = 9.80 m/s2) 22.6 m/s 43.6 m/s 20.7 m/s 18.1 m/s

c. 20.7 m/s

The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length. If the motor rotates at the rate of 20 rev/s, what is the tangential speed of the end of the cord? 4.2 m/s 0.669 m/s 26 m/s 2.7 m/s 13 m/s

c. 26 m/s

A solid sphere of mass 2.50 kg and radius 0.120 m is at rest at the top of a ramp inclined 15.0°. It rolls to the bottom without slipping. The upper end of the ramp is 1.20 m higher than the lower end. Find the sphere's total kinetic energy when it reaches the bottom. 8.80 70.0 J 29.4 J 47.9 J

c. 29.4 J

Doubling the mean distance from the Sun results in changing the orbital period of revolution by what factor? 2^(1/2) 2 2^(3/2) 2^(2/3) None of the above

c. 2^3/2

The condition for onset of turbulent flow is that the Reynolds Number reaches what value? 1000 2000 3000 4000

c. 3 000

The distance from the center of a Ferris wheel to a passenger seat is 12 m. What centripetal acceleration does a passenger experience when the wheel's angular speed is 0.50 rad/s? 17 m/s2 9.0 m/s2 3.0 m/s 6.0 m/s2

c. 3.0 m/s2

A satellite is in a circular orbit about the Earth at a distance of d = 5 times the Earth's radius above the surface. What is the speed of the satellite? (The radius of the Earth is 6.4 × 106 m.) 4.2E+2 m/s 1.3E+5 m/s 3.2E+3 m/s 3.3E+6 m/s

c. 3.2E+3 m/s

A double-star system with each star having the mass of the Sun has an orbital period of 1 year. A second double star system, also with each star having the mass of the Sun, has an orbital period of 8 years. If the separation of the stars in the first system is d and the orbits in both cases are circular, what is the separation of the stars in the second system? 8d 0.5d 4d 2d

c. 4d

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed? 3.3 rad/s 81 rad/s 52 rad/s 26 rad/s

c. 52 rad/s

Water comes down the spillway of a dam from an initial vertical height of 170 m. What is the highest possible speed of the water at the end of the spillway? 5.89 m/s 18.4 m/s 57.7 m/s 1 670 m/s 3 330 m/s

c. 57.7 m/s

A rod of length L is hinged at one end. The moment of inertia as the rod rotates around that hinge is ML2/3. Suppose a 2.00-m rod with a mass of 6.00 kg is hinged at one end and is held in a horizontal position. The rod is released as the free end is allowed to fall. What is the angular acceleration as it is released? 4.50 rad/s2 1.09 rad/s2 7.35 rad/s2 0.82 rad/s2 4.90 rad/s2

c. 7.35 rad/s2

Dams at two different locations are needed to form a lake. When the lake is filled, the water level will be at the top of both dams. The Dam #2 is twice as high and twice as wide as Dam #1. How much greater is the force of the water on Dam #2 than the force on Dam #1? (Ignore atmospheric pressure; it is pushing on both sides of the dams.) 2 4 8 16

c. 8

An asteroid is in orbit at 4 times the Earth's distance from the Sun. What is its period of revolution? one fourth year 4 years 8 years 16 years

c. 8 years

A 3.00-m rod is pivoted about its left end. A force of 7.80 N is applied perpendicular to the rod at a distance of 1.60 m from the pivot causing a ccw torque, and a force of 2.60 N is applied at the end of the rod 3.00 m from the pivot. The 2.60-N force is at an angle of 30.0o to the rod and causes a cw torque. What is the net torque about the pivot? (Take ccw as positive.) -8.58 N·m 4.68 N·m 8.58 N·m -16.4 N·m 16.4 N·m

c. 8.58 N·m

When an artery gets a constricted region due to plaque, how does the pressure in this region compare to the pressure in an unconstricted region adjacent? Since this is a closed system, the pressure is the same in both regions In the constricted region the blood moves at a higher speed than in the unconstricted region resulting in an increased pressure In the constricted region the blood moves at a higher speed than in the unconstricted region resulting in a decreased pressure. In the constricted region the blood moves at a lower speed than in the unconstricted region resulting in a increased pressure.

c. In the constricted region the blood moves at a higher speed than in the unconstricted region resulting in a decreased pressure.

The Earth's density increases with depth. If instead the Earth had uniform density, but the same angular velocity and mass, how would its rotational kinetic energy compare to the actual value? It would be the same as the actual value It would be less than the actual value It would be greater than the actual value More information is needed to find the answer

c. It would be greater than the actual value.

Two masses m1 and m2, with m1 < m2, have momenta with equal magnitudes. How do their kinetic energies compare? KE1<KE2 KE1=KE2 KE1>KE2 more information is needed

c. KE1 > KE2

Why do vapor bubbles get larger in boiling water as they approach the surface? They only appear to get larger, this being a magnification effect due to looking through the water the bubbles pressure increases as they rise The pressure in the water decreases as the bubble moves toward the surface. Bubbles always get bigger after they form

c. The pressure in the water decreases as the bubble moves toward the surface.

A circular disk is rotating about a central axis with an angular velocity which is increasing at a constant rate. Point 1 on the disk is located at a distance r1 from the center of the disk and point 2 on the disk is located at a distance r2 from the center of the disk. If r2 = 2r1, which of the following ratios is the largest? 1 and 2 refer to being at points 1 and 2 in the subscripts below, all values occurring at the same time.​ w2/w1 a2/a1 ac2/ac1 all the ratios are 1 so none is larger

c. ac2/ac1

A billiard ball collides in an elastic head-on collision with a second stationary identical ball. After the collision which of the following conditions applies to the first ball? maintains the same velocity as before has one half its initial velocity comes to rest moves in the opposite direction

c. comes to rest

A solid sphere and a solid cylinder both have the same radius and mass. If the sphere is spun about an axis through it center with angular velocity sphere, what angular velocity must the cylinder have to the same rotational kinetic energy as the sphere? Round your answer to 2 significant figures. cylinder= sphere cylinder= 0.80 sphere cylinder = 0.89 sphere cylinder= 0.64 sphere

c. cylinder = 0.89 sphere

The equation of continuity applied to an incompressible ideal fluid flowing through a pipe of varying diameter is based on what of the following being conserved for the fluid in the pipe? its kinetic energy its momentum its flow rate its potential energy

c. its flow rate

A solid sphere, a solid cylinder, and a hoop each have the same mass and radius. If they are spinning at the same angular velocity, which one has the greatest angular momentum? the sphere the cylinder the hoop they all have the same angular momentum

c. the hoop

A solid sphere, a solid cylinder, and a hoop each have the same mass and radius. If they are spinning at the same angular velocity, which one has the greatest rotational kinetic energy? The sphere The cylinder The hoop They all have the same rotational kinetic energy

c. the hoop

Suppose the gravitational potential energy for a mass at an altitude of one Earth radius is PE1 and at two Earth radii is PE2. How do the absolute values of these potential energies compare? |PE1|= 2|PE2| |PE1|= 4 |PE2| |PE1| < 2 |PE2| |PE1| > 2 |PE2| but is not equal to 4 |PE2|

c. |PE1| < 2|PE2|

The torque caused by a force F applied at a distance r from the axis of rotation, is given by τ = rFs​inθ, where θ is the angle between and . If the magnitudes r and F remain the same, what other angle θ' will produce the same torque as was produced at angle θ if θ was less than 90°? θ' = ​90° - θ θ' = ​90° + θ θ' = ​180° - θ None of the above.

c. θ' = 1​80° - θ

A uniform pressure of 5.7 × 105 N/m2 is applied to all six sides of a copper cube. What is the percentage change in volume of the cube? (for copper, B = 14 × 1010 N/m2)

d. 0.00041%

A 1 000-kg vehicle is moving in the positive y-direction along the y-axis at 10 m/s. A 2 000-kg vehicle is moving in the positive x-direction at along the x-axis at 20 m/s. The vehicles collide and stick together. They move as a single object in a direction θ as measured counterclockwise from the x-axis immediately after the collision. What is the value of tan θ? 2.0 0.50 4.0 0.25

d. 0.25

A ping-pong ball has an average density of 0.0840 g/cm3 and a diameter of 3.80 cm. What force would be required to keep the ball completely submerged under water? 1.000 N 0.788 N 0.516 N 0.258 N

d. 0.258 N

A copper wire of length 5.0 m, cross sectional area 6.9 × 10−6 m2, and Young's modulus 11 × 1010 N/m2 has a 190-kg load hung on it. What is its increase in length? (g = 9.8 m/s2) 1.8 × 10-2 m 7.3 × 10-3 m 2.5 × 10-2 m 1.2 × 10-2 m 5.0 × 10-3 m

d. 1.2E-2 m

A fountain sends water to a height of 113 m. What must be the pressurization (above atmospheric) of the underground water system? (1 atm = 105 N/m2) 0.115 atm 1.0 atm 47.1 atm 11.1 atm 12.1 atm

d. 11.1 atm

A pipe of diameter three cm is replaced by one of the same length but of diameter six cm. If the pressure difference between the ends of the pipe remains the same, by what factor is the rate of flow of a viscous liquid through it changed? 2 4 8 16 32

d. 16

A baseball pitcher, loosening up his arm before a game, tosses a 0.140-kg ball using only the rotation of his forearm, 0.290 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 24.0 m/s in a time of 0.450 s, what is the average angular acceleration of the arm and ball? 3.13 rad/s2 37.2 rad/s2 15.5 rad/s2 184 rad/s2 25.7 rad/s2

d. 184 rad/s2

What centripetal force does an 80.0-kg passenger experience when seated 10.0 m from the center of a Ferris wheel whose angular speed is 0.500 rad/s? 2.00 N 24.5 N 400 N 200 N

d. 200 N

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is the time interval required for it to reach a 6.50-rad displacement after starting from rest? 3.61 s 22.8 s 0.161 s 22.8 s 260 s

d. 22.8 s

Old Faithful geyser in Yellowstone Park shoots water hourly to a height of 40.0 m. With what velocity does the water leave the ground? 14.0 m/s 19.8 m/s 20 m/s 28.0 m/s 784 m/s

d. 28.0 m/s

A disk has a moment of inertia of 3.0 × 10−4 kg·m2 and rotates with an angular speed of 3.6 rad/s. What net torque must be applied to bring it to rest within 3.6 s?

d. 3.00E-4 N·m

The Earth is 93.0 million miles from the Sun and its period of revolution is 1 year = 3.15 × 107 s. What is the acceleration of the Earth in its orbit about the Sun? 18.6 mi/s2 9.3x10-3 mi/s2 13.6x10-6 mi/s2 3.70 × 10−6 mi/s2

d. 3.70 × 10−6 mi/s2

A 3.00-kg mass is placed at (2.00, 3.00) m, and a 4.50-kg mass is placed at (2.00, −3.00) m. What is the moment of inertia of this system of masses about the y axis? 22.5 kg·m2 67.5 kg·m2 15.0 kg·m2 30.0 kg·m2

d. 30.0 kg·m2

The flow rate of blood through the average human aorta, of radius 0.95 cm, is about 90 cm3/s. What is the speed of the blood flow through the aorta? 14 cm/s 37 cm/s 32 cm/s 32 cm/s

d. 32 cm/s

A meterstick is supported by a knife-edge at the 50.0-cm mark. Doug hangs masses of 0.48 and 0.76 kg from the 10cm and 80-cm marks, respectively. Where should Doug hang a third mass of 0.25 kg to keep the stick balanced? 64.4 cm 25.6 cm 74.4 cm 35.6 cm 50 cm

d. 35.6 cm

A uniform bridge span weighs 70.0 kN and is 40.0 m long. An automobile weighing 15.0 kN is parked with its center of gravity located 15.0 m from the right pier. What upward support force does the right pier provide? 40.6 kN 51.3 kN 25.6 kN 44.4 kN 42.5 kN

d. 44.4 kN

A blimp is filled with 440 m3 of helium. How big a payload can the balloon lift? (The density of air is 1.29 kg/m3; the density of helium is 0.178 kg/m3.) 396 kg 568 kg 78.3 kg 489 kg 646 kg

d. 489 kg

A machine gun is attached to a railroad flatcar that rolls with negligible friction. If the railroad car has a mass of 6.35 × 104 kg, how many bullets of mass 35.0 g would have to be fired at 200 m/s off the back to give the railroad car a forward velocity of 0.56 m/s? 5.1E-4 2.0E+3 6.5E+5 5.1E+3 6.5E+4

d. 5.1E+3

A 274-N uniform ladder, 11.0 m long, rests against a smooth vertical wall. The coefficient of static friction between ladder and floor is 0.400. What minimum angle can the ladder make with the floor before it slips? 84.3° 11.3° 21.8° 51.3° 68.2°

d. 51.3°

Spherical particles of density 2.0 g/cm3 are shaken in a container of water (viscosity = 1.0 × 10−3 N⋅s/m3). The water is 9.0 cm deep and is allowed to stand for 25 minutes. What is the greatest terminal velocity of the particles still in suspension at that time?​ 3.0E-5 m/s 4.5E-5 m/s 7.5E-5 m/s 6.0E-5 m/s 8.4E-5 m/s

d. 6.0E-5 m/s

An object of mass 0.50 kg weighs 2.0 N when it is 1.0 × 106 m above the surface of Planet X. The radius of the planet is 4.0 × 106 m. What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X? 4.8 m/s2 2.0 m/s2 4.0 m/s2 6.3 m/s2

d. 6.3 m/s2

If a planet has a radius 16.0% greater than that of the Earth but has the same mass as the Earth, what is the acceleration due to gravity at its surface? 8.45 m/s2 1.57 m/s2 10.0 m/s2 7.28 m/s2

d. 7.28 m/s2

Suppose a car has a 100 000-mile 10-year warranty on its wheels and axles. How may turns will the wheels of 0.70m diameter make if both the mileage and time warranties run out simultaneously and what will be the average angular velocities of the wheel? Assume that a mile = 1.6 × 103 m and that a year is 3.16 × 107 s. 7.3E+7, 1.4 rad/s 3.5E+8, 1.4 rad/s 2.3E+8, 14​ rad/s 7.3E+7, 14 rad/s 2.3E+8, 1.4 rad/s

d. 7.3E+7, 1.4 rad/s

A stonecutter's chisel has an edge area of 0.50 cm2. If the chisel is struck with a force of 45.0 N, what is the pressure exerted on the stone?

d. 9.0E+5 Pa

A box slides down a frictionless incline, and a hoop rolls down another incline. Both inclines have the same height, and both the box and the hoop have the same mass. If both objects start from rest, upon reaching the bottom of the incline which one will have the greater kinetic energy and which one will have the greater speed? Both will have the same kinetic energy, but the hoop will have the greater speed. The hoop will have both the greater kinetic energy and the greater speed The box will have both the greater kinetic energy and the greater speed Both will have the same kinetic energy, but the box will have the greater speed.

d. Both will have the same kinetic energy, but the box will have the greater speed.

Starting from rest, a wheel undergoes constant angular acceleration for a period of time T. At which of the following times does the average angular acceleration equal the instantaneous angular acceleration? 0.67T 0.50T 0.71T all of the above

d. all of the above

A large stone is resting on the bottom of the swimming pool. The normal force of the bottom of the pool on the stone is equal to the: weight of the stone weight of the water displaced sum of the weight of the stone and the weight of the displaced water difference between the weight of the stone and the weight of the displaced water. weight of the water in the swimming pool.

d. difference between the weight of the stone and the weight of the displaced water.

At a pressure of 1 atmosphere a column of mercury in a barometer is supported to the height h = 0.76 m. The density of mercury is 13.6 × 103 kg/m3. A barometer of similar design filled with water would support a column of water how high at a pressure of 1 atmosphere? about 1.36h less than one tenth h the same height h more than ten times h

d. more than ten times h

Consider a child who is swinging. As she reaches the lowest point in her swing: her acceleration is downward at 9.8 m/s^2 the tension in the rope is equal to her mass times acceleration the tension in the rope is equal to her weight none of the above

d. none of the above.

As an object is lowered into a deep hole in the surface of the Earth, which of the following must be assumed in regard to its potential energy? increase decrease remain constant cannot tell from the information given

decrease

A large stone is resting on the bottom of the swimming pool. The normal force of the bottom of the pool on the stone is equal to the weight of the stone weight of the water displaced sum of the weight of the stone and the weight of the displaced water difference between the weight of the stone and the weight of the displaced water

difference between the weight of the stone and the weight of the displaced water

Pierre performs a maneuver with his yo-yo called "around the world", where he swings the yo-yo in a vertical circle. When the yo-yo is at its highest point, which forces provide the centripetal acceleration? Friction Gravity Normal force Tension Two of the above choices are correct

e. Two of the above choices are correct.

Of the eight known planets in our solar system, the innermost is Mercury. When compared to the other planets in the system, Mercury has the: greatest centripetal acceleration. greatest period of revolution. smallest angular velocity. smallest tangential velocity.

greatest centripetal acceleration

A U-tube is partially filled with water and then an immiscible liquid is added to the right side. The top of the liquid is a distance h1 above the level of interface between the liquid and water. On the left side of the tube the top of the water is a distance h2 above the liquid-water interface on the right side. What is the density of the liquid in terms of the density of water ? Note that h2 < h1. h1/h2 PH2O h2/h1 PH2O h1-h2/h2 PH2O h1-h2/h1+h2 PH2O

h2/h1 PH2O

A 5-kg object is moving to the right at 4 m/s and collides with another object moving to the left at 5 m/s. The objects collide and stick together. After the collision, the combined object: is moving to the right. is moving to the left. is at rest. has less kinetic energy than the system had before the collision.

has less kinetic energy than the system had before the collision.

An object consists of a rod (of length 3.00 m and negligible moment of inertia) to which four small 3.50-kg masses are attached, one at each end and one at each point on the rod spaced at 1.00-m intervals. The moment of inertia of this object about an axis perpendicular to the rod and through one of the end masses: is 49 kg·m2. is 21 kg·m2. is 31.5 kg·m2. is 10.5 kg·m2. cannot be uniquely determined until it is stated which inner mass the axis goes through.

is 49 kg·m2.

Bar One has a Young's modulus that is bigger than that of Bar Two. This indicates Bar One is longer than Bar Two. has a greater cross-sectional area than Bar Two. has a greater elastic limit than Bar Two. is made of material that is different from Bar Two.

is made of material that is different from Bar Two.

The fluid to which Bernoulli's equation is applied is based on what being conserved for the fluid? its momentum its potential energy its kinetic energy its total mechanical energy

its total mechanical energy

A spring with spring constant k is used to launch a mass m up a frictionless inclined plane having angle of elevation θ. What is the maximum height reached above the starting elevation of the mass during the motion of the mass if the spring is compressed a distance d before launch? kd2/2mg 2kd2/mg 2mgsin0/kd2 kd2sin0/2mg

kd2/2mg

The units of impulse are equivalent to: those of energy. N⋅m. kg⋅m/s. those of force.

kg⋅m/s.

In a two-body collision, if the kinetic energy of the system is conserved, then which of the following best describes the momentum after the collision? must be less must also be conserved may also be conserved is doubled in value

must also be conserved

A box slides across a floor and comes to rest. The work done by the frictional force on the box is positive. negative. zero. impossible to determine without knowing the coefficient of friction.

negative

The unit of work, joule, is dimensionally the same as: newton/second. newton/kilogram. newton-second. newton-meter.

newton-meter

If the momentum of an object is tripled, its kinetic energy will change by what factor? zero one-third three nine

nine

A model rocket sits on the launch pad until its fuel is ignited, blasting the rocket upward. During the short time of blast-off, as the ignited fuel goes down, the rocket goes up because: the fuel pushes on the ground. air friction pushes on the escaping fuel. the downward force of gravity is less than the downward momentum of the fuel. of none of the above reasons.

of none of the above reasons.

A rod system with a uniform linear density of l = 4.40 kg/m has the shape shown in the figure, with rod 1 the vertical rod and rod 2 the horizontal rod. Rod 1 has length L1 = 8.00 m, and rod 2 has length L2 = 7.50 m. Neglect the diameter of the rods. ​PICTURE What is the mass of each rod? rod 1: 12.4 kg, rod 2: 11.9 kg rod 1: 4.69 kg, rod 2: 4.13 kg rod 1: 0.550 kg, rod 2: 0.587 kg rod 1: 35.2 kg, rod 2: 33.0 kg

rod 1: 35.2 kg, rod 2: 33.0 kg

The bulk modulus of a material, as a meaningful physical property, is applicable to which of the following? only solids only liquids only gases solids, liquids and gases

solids, liquids and gases

In an elastic solid there is a direct proportionality between strain and elastic modulus. temperature. cross-sectional area. stress.

stress

A tennis ball is held above and in contact with a basketball, and then both are simultaneously dropped. The tennis ball bounces off the basketball at a fairly high speed. This is because: the basketball falls farther than the tennis ball. the tennis ball is slightly shielded from the Earth's gravitational pull. the massive basketball transfers momentum to the lighter tennis ball. the tennis ball has a smaller radius.

the massive basketball transfers momentum to the lighter tennis ball.

A tennis ball is held above and in contact with a basketball, and then both are simultaneously dropped. The tennis ball bounces off the basketball at a fairly high speed. This is because: the basketball falls farther than the tennis ball. the tennis ball is slightly shielded from the Earth's gravitational pull. the massive basketball transfers momentum to the lighter tennis ball. the tennis ball has a smaller radius.

the massive basketball transfers momentum to the lighter tennis ball.

If a glass of water is on a table with a piece of paper under it, it is relatively easy to pull the paper out without disturbing the glass very much if the pull is done very quickly. This is because, with a quick pull: the force on the glass will be less. the momentum of the paper will be greater. the time for the pull will be less. the coefficient of kinetic friction will be less.

the time for the pull will be less

A moderate force will break an egg. However, an egg dropped on the road usually breaks, while one dropped on the grass usually doesn't break. This is because for the egg dropped on the grass: the change in momentum is greater. the change in momentum is less. the time interval for stopping is greater. the time interval for stopping is less.

the time interval for stopping is greater.

In a system with two moving objects, when a collision occurs between the objects: the total kinetic energy is always conserved. the total momentum is always conserved. the total kinetic energy and total momentum are always conserved. neither the kinetic energy nor the momentum is conserved.

the total momentum is always conserved.

The kinetic energy of an object is quadrupled. Its momentum will change by what factor? zero two eight four

two

The area under the force vs. displacement curve represents: area. force. work. coefficient of static friction.

work

Two satellites are monitored as they orbit the Earth; satellite X is eight times as far from the Earth's center as is satellite Y. From Kepler's third law one may conclude that the period or revolution of X is what factor times that of Y?

√8↑3