College Physics 1

A spring required a force of 5.0 N to compress it 0.1 m. How much work is required to stretch the spring 0.4 m? A) 0.4 J B) 0.6 J C) 0.8 J D) 2 J E) 4 J

E) 4 J

A hypodermic needle consists of a plunger of circular cross-section that slides inside a hollow cylindrical syringe. When the plunger is pushed, the contents of the syringe are forced through a hollow needle (also of circular cross-section). If a 4.0-N force is applied to the plunger and the diameters of the plunger and the needle are 1.2 cm and 2.5 mm, respectively, what force is needed to prevent fluid flow at the needle? A) 0.17 N B) 0.27 N C) 0.43 N D) 0.83 N E) 2.7 N

A) 0.17 N

A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. How much potential energy is stored in the spring in Figure B? A) 0.245 J B) 0.490 J C) 4.90 J D) 9.80 J E) zero J

A) 0.245 J

A 0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block. The spring constant is 1.0 × 102 N/m. Assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed. A) 0.26 m B) 0.52 m C) 2.5 m D) 5 m E) 10 m

A) 0.26 m

A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m. The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface. What is the amplitude of the resulting oscillation of this system? A) 0.3 m B) 0.4 m C) 0.5 m D) 0.6 m E) 2 m

A) 0.3 m

When a force of 19 N is applied to a spring, it elongates 0.085 m. Determine the period of oscillation of a 4.0-kg object suspended from this spring. A) 0.8 s B) 1.2 s C) 3.1 s D) 4.1 s E) 6.3 s

A) 0.8 s

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. Atmospheric pressure is 1.01 × 105 N/m2; and the density of mercury is 13 600 kg/m3. (A= 12cm^2, B= 5.6cm^2, C=6.0cm^2) What is the total pressure at point C? A) 1.01 × 105 Pa B) 3.26 × 105 Pa C) 3.66 × 105 Pa D) 6.44 × 105 Pa E) 7.45 × 105 Pa

A) 1.01 × 105 Pa

A 14-kg beam is hinged at one end. A 6.0-kg triangular object and a 7.5-kg I-shaped object are positioned as shown. Dots indicate the individual centers of gravity of the beam and the two objects. What is the distance from the axis of rotation to the center of gravity for this system? (axis to dot 1= 0.36m; dot 1 to dot 2 = 0.53m; dot 2 to dot3=1.92m) A) 1.3 m B) 1.1 m C) 0.96 m D) 0.89 m E) 0.71 m

A) 1.3 m

A 2.0-kg object is attached to a spring (k = 55.6 N/m) that hangs vertically from the ceiling. The object is displaced 0.045 m vertically. When the object is released, the system undergoes simple harmonic motion. What is the magnitude of the maximum acceleration of the object? A) 1.3 m/s2 B) 2.3 m/s2 C) 4.4 m/s2 D) 9.8 m/s2 E) 11 m/s2

A) 1.3 m/s2

A child wants to pump up a bicycle tire so that its pressure is 1.2 × 105 Pa above that of atmospheric pressure. If the child uses a pump with a circular piston 0.035 m in diameter, what force must the child exert? A) 120 N B) 89 N C) 76 N D) 54 N E) 240 N

A) 120 N

A 45-N brick is suspended by a light string from a 2.0-kg pulley. The brick is released from rest and falls to the floor below as the pulley rotates through 5.0 rad. The pulley may be considered a solid disk of radius 1.5 m. What is the angular speed of the pulley? A) 17 rad/s B) 15 rad/s C) 9.4 rad/s D) 8.1 rad/s E) 7.3 rad/s

A) 17 rad/s

The velocity of a certain simple harmonic oscillator is given by v = -(12 m/s) sin [(6.0 rad/s) t]. What is the amplitude of the simple harmonic motion? A) 2.0 m B) 4.0 m C) 6.0 m D) 8.0 m E) 12 m

A) 2.0 m

The acceleration of a certain simple harmonic oscillator is given by a = -(15.8 m/s2) cos (2.51t). What is the amplitude of the simple harmonic motion? A) 2.51 m B) 4.41 m C) 6.30 m D) 11.1 m E) 15.8 m

A) 2.51 m

A 2.0-kg solid cylinder of radius 0.5 m rotates at a rate of 40 rad/s about its cylindrical axis. What power is required to bring the cylinder to rest in 10 s? A) 20 W B) 40 W C) 160 W D) 200 W E) 400 W

A) 20 W

What is the angular speed in rad/s of the second hand of a watch? A) 1.7 × 10-3 rad/s B) 0.10 rad/s C) 0.02 rad/s D) 6.28 rad/s E) 60 rad/s

B) 0.10 rad/s

A wheel turns through an angle of 188 radians in 8.0 s; and its angular speed at the end of the period is 44 rad/s. If the angular acceleration is constant, what was the angular speed of the wheel at the beginning of the 8.0 s interval? A) 3.0 rad/s B) 7.0 rad/s C) 9.1 rad/s D) 23.5 rad/s E) 32.5 rad/s

A) 3.0 rad/s

When a block of volume 1.00 × 10-3 m3 is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 103 kg/m3. Determine the density of the unknown liquid. A) 3.03 × 103 kg/m3 B) 4.62 × 103 kg/m3 C) 6.16 × 103 kg/m3 D) 8.01 × 103 kg/m3 E) 1.57 × 104 kg/m3

A) 3.03 × 103 kg/m3

A spinning disc rotating at 130 rev/min slows and stops 31 s later. How many revolutions did the disc make during this time? A) 34 B) 67 C) 8.4 D) 17 E) 4.2

A) 34

The radius of a sphere of lead (B = 4.2 × 1010 N/m2) is 1.000 m on the surface of the earth where the pressure is 1.01 × 105 N/m2. The sphere is taken by submarine to the deepest part of the ocean to a depth of 1.10 × 104 m where it is exposed to a pressure is 1.25 × 108 N/m2. What is the volume of the sphere at the bottom of the ocean? A) 4.176 m3 B) 3.189 m3 C) 2.251 m3 D) 1.134 m3 E) 0.988 m3

A) 4.176 m3

A ball attached to a string starts at rest and undergoes a constant angular acceleration as it travels in a horizontal circle of radius 0.30 m. After 0.65 sec, the angular speed of the ball is 9.7 rad/s. What is the tangential acceleration of the ball? A) 4.5 m/s2 B) 0.32 m/s2 C) 15 m/s2 D) 7.6 m/s2 E) 28 m/s2

A) 4.5 m/s2

A ping-pong ball weighs 0.025 N. The ball is placed inside a cup that sits on top of a vertical spring. If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m. Neglect air resistance and determine the spring constant. A) 47 N/m B) 24 N/m C) 11 N/m D) 5.2 N/m E) 2.6 N/m

A) 47 N/m

Using the value of atmospheric pressure at sea level, 1 × 105 Pa, estimate the total mass of the earth's atmosphere above a 5-m2 area. A) 5 × 104 kg B) 9 × 102 kg C) 2 × 10-4 kg D) 4 × 10-2 kg E) 3 × 105 kg

A) 5 × 104 kg

An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time? A) 7 B) 14 C) 21 D) 49 E) 150

A) 7

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual time is 8.616 × 104 s. Given this information, what is the angular speed of the Earth about its axis? A) 7.292 × 10-5 rad/s B) 2.321 × 10-6 rad/s C) 9.951 × 10-5 rad/s D) 6.334 × 10-4 rad/s E) 1.990 × 10-7 rad/s

A) 7.292 × 10-5 rad/s

A cylinder with a diameter of 0.240 m is placed between the plates of a hydraulic press as illustrated in the drawing. A 4.45 × 105-N force is applied to the cylinder. What is the pressure on the end of the cylinder due to the applied force? A) 9.84 × 106 Pa B) 3.13 × 105 Pa C) 6.18 × 106 Pa D) 5.34 × 105 Pa E) 4.92 × 106 Pa

A) 9.84 × 106 Pa

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion. Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds. A) x = 15 cos(14πt) B) x = 15 sin(14πt) C) x = 7 cos(15πt) D) x = 14 sin(15πt) E) x = 44 cos(14πt)

A) x = 15 cos(14πt)

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s.The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. What is the instantaneous speed of the point of the disk that makes contact with the surface? A) zero m/s B) 5.0 m/s C) 7.1 m/s D) 7.5 m/s E) 10.0 m/

A) zero m/s

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s What is the magnitude of the tangential acceleration of a point on the rim of the wheel? A) zero m/s2 B) 0.5 m/s2 C) 1.0 m/s2 D) 2.0 m/s2 E) 4.0 m/s2

A) zero m/s2

Three objects are positioned along the x axis as follows: 4.4 kg at x = + 1.1 m, 3.7 kg at x = -0.80 m, and 2.9 kg at x = -1.6 m. The acceleration due to gravity is the same everywhere. What is the distance from the location of the center of gravity to the location of the center of mass for this system? A) zero meters B) -0.52 m C) -0.26 m D) +0.26 m E) +0.52 m

A) zero meters

Oil (ρ = 925 kg/m3) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m. The cross sectional area of the pipe does not change. What is the difference in pressure (PB - PA) in the portions of the pipe before and after the rise? A) +2.4 × 104 Pa B) -3.6 × 104 Pa C) +5.1 × 105 Pa D) -7.2 × 105 Pa E) -1.8 × 103 Pa

B) -3.6 × 104 Pa

A plastic box has an initial volume of 3.50 m3. It is then submerged below the surface of a liquid and its volume decreases to 3.48 m3. What is the volume strain on the box? A) 0.0020 B) 0.0057 C) 0.0084 D) 0.018 E) 0.022

B) 0.0057

The original Ferris wheel had a radius of 38 m and completed a full revolution (2π radians) every two minutes when operating at its maximum speed. If the wheel were uniformly slowed from its maximum speed to a stop in 35 seconds, what would be the magnitude of the tangential acceleration at the outer rim of the wheel during its deceleration? A) 0.0015 m/s2 B) 0.057 m/s2 C) 0.54 m/s2 D) 1.6 m/s2 E) 6.8 m/s

B) 0.057 m/s2

A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 6 × 10-3 m3. If the density of air is 1.3 kg/m3, what is the buoyant force exerted on the balloon? A) 0.01 N B) 0.08 N C) 0.8 N D) 1.3 N E) 7.8 N

B) 0.08 N

In a classroom demonstration, a 79.2-kg physics professor lies on a "bed of nails." The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. What is the average force exerted by each nail on the professor's body? A) 0.201 N B) 0.398 N C) 1.42 N D) 0.809 N E) 142 N

B) 0.398 N

A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m3. The density of air is 1.3 kg/m3. What is the average density of the balloon? A) 0.2 kg/m3 B) 0.4 kg/m3 C) 0.8 kg/m3 D) 1.0 kg/m3 E) 1.2 kg/m3

B) 0.4 kg/m3

On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to a maximum rotational speed of 1.4 rad/s. What is the tangential acceleration of the passengers during the first 21 s of the ride? A) 0.067 m/s2 B) 0.50 m/s2 C) 1.4 m/s2 D) 7.5 m/s2 E) 11 m/s2

B) 0.50 m/s2

The position of a simple harmonic oscillator is given by where t is in seconds. What is the maximum velocity of this oscillator? A) 0.17 m/s B) 0.52 m/s C) 0.67 m/s D) 1.0 m/s E) 2.0 m/s

B) 0.52 m/s

A wrench is used to tighten a nut as shown in the figure. A 12-N force is applied 7.0 cm from the axis of rotation. What is the magnitude of the torque due to the applied force? A) 0.58 N ⋅ m B) 0.84 N ⋅ m C) 1.71 N ⋅ m D) 14 N ⋅ m E) 58 N ⋅ m

B) 0.84 N ⋅ m

At standard temperature and pressure, carbon dioxide has a density of 1.98 kg/m3. What volume does 1.70 kg of carbon dioxide occupy at standard temperature and pressure? A) 0.43 m3 B) 0.86 m3 C) 1.7 m3 D) 2.3 m3 E) 4.8 m3

B) 0.86 m3

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the magnitude of the angular acceleration of the grindstone? A) 0.50 rad/s2 B) 1.0 rad/s2 C) 4.5 rad/s2 D) 9.0 rad/s2 E) 18 rad/s2

B) 1.0 rad/s2

Joe is painting the floor of his basement using a paint roller. The roller has a mass of 2.4 kg and a radius of 3.8 cm. In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown. Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller? A) 7.2 × 101 rad/s2 B) 1.0 × 102 rad/s2 C) 1.7 × 102 rad/s2 D) 2.3 × 102 rad/s2 E) 2.8 × 102 rad/s2

B) 1.0 × 102 rad/s2

The maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. A thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10-4 m2. What is the maximum compressional force that can be applied to the thighbone? A) 2.1 × 1011 N B) 1.2 × 105 N C) 4.8 × 1012 N D) 3.0 × 103 N E) This cannot be determined since Young's modulus is not given.

B) 1.2 × 105 N

An in-ground swimming pool has the dimensions shown in the drawing. It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 103 kg/m3. (length = 20m , width =15m) What is the total pressure exerted on the bottom of the swimming pool? A) 2.94 × 104 Pa B) 1.31 × 105 Pa C) 1.80 × 105 Pa D) 1.97 × 105 Pa E) 2.49 × 105 Pa

B) 1.31 × 105 Pa

The density of ice is 0.92 g/cm3; and the density of seawater is 1.03 g/cm3. A large iceberg floats in Arctic waters. What fraction of the volume of the iceberg is exposed? A) 0.080 % B) 11 % C) 89 % D) 92 % E) 99 %

B) 11 %

A steady horizontal force of magnitude 21 N is applied at the axle of a solid disk as shown. The disk has mass 2.0 kg and diameter 0.10 m. What is the linear speed of the center of the disk after it has moved 12 m? A) 9.0 m/s B) 13 m/s C) 16 m/s D) 22 m/s E) 44 m/s

B) 13 m/s

A solid cylinder of radius 0.35 m is released from rest from a height of 1.8 m and rolls down the incline as shown. What is the angular speed of the cylinder when it reaches the horizontal surface? A) 8.2 rad/s B) 14 rad/s C) 34 rad/s D) 67 rad/s E) This cannot be determined because the mass is unknown.

B) 14 rad/s

A string is wrapped around a pulley of radius 0.20 m and moment of inertia 0.40 kg ⋅ m2. The string is pulled with a force of 28 N. What is the magnitude of the resulting angular acceleration of the pulley? A) 22 rad/s2 B) 14 rad/s2 C) 68 rad/s2 D) 0.55 rad/s2 E) 8.0 rad/s2

B) 14 rad/s2

A 0.254-m diameter circular saw blade rotates at a constant angular speed of 117 rad/s. What is the tangential speed of the tip of a saw tooth at the edge of the blade? A) 29.7 m/s B) 14.9 m/s C) 9.46 m/s D) 7.45 m/s E) 2.17 m/s

B) 14.9 m/s

The spring constant for the spring in a special cannon is 1800 N/m. In cocking the cannon, the spring is compressed 0.55 m. What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released? A) 77 m/s B) 140 m/s C) 12 m/s D) 8.8 m/s E) 16 m/s

B) 140 m/s

The density of gold is 19 300 kg/m3. What is the mass of a gold sphere whose diameter is 0.25 m? A) 87.5 kg B) 158 kg C) 947 kg D) 1260 kg E) 3790 kg

B) 158 kg

A certain merry-go-round is accelerated uniformly from rest and attains an angular speed of 1.2 rad/s in the first 18 seconds. If the net applied torque is 1200 N ⋅ m, what is the moment of inertia of the merry-go-round? A) 1400 kg ⋅ m2 B) 18 000 kg ⋅ m2 C) 9000 kg ⋅ m2 D) 500 kg ⋅ m2 E) This cannot be determined since the radius is not specified.

B) 18 000 kg ⋅ m2

A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. Determine the spring constant k. A) 20.0 N/m B) 196 N/m C) 392 N/m D) 3920 N/m E) 7840 N/m

B) 196 N/m

When a block of volume 1.00 × 10-3 m3 is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 103 kg/m3. Determine the mass of the block. A) 1.02 kg B) 2.02 kg C) 3.02 kg D) 4.04 kg E) 9.80 kg

B) 2.02 kg

A solid cylinder has a radius of 0.051 m and a height of 0.0030 m. The cylinder is composed of two different materials with mass densities of 1950 kg/m3 and 1470 kg/m3. The cylinder contains an equal mass m of each of the two materials, so that the total mass is M = 2m. What is the mass m? A) 8.4 × 10-2 kg B) 2.1 × 10-2 kg C) 1.4 × 10-2 kg D) 6.5 × 10-2 kg E) 4.2 × 10-2 kg

B) 2.1 × 10-2 kg

A column of oil of height 70.0 cm supports a column of an unknown liquid as suggested in the figure (not drawn to scale). Assume that both liquids are at rest and that the density of the oil is 840 kg/m3. Determine the density of the unknown liquid. (height of unknown liquid =27.0cm) A) 3.2 × 102 kg/m3 B) 2.2 × 103 kg/m3 C) 2.6 × 103 kg/m3 D) 3.6 × 103 kg/m3 E) 4.9 × 103 kg/m3

B) 2.2 × 103 kg/m3

The brick shown in the drawing is glued to the floor. A 3500-N force is applied to the top surface of the brick as shown. If the brick has a shear modulus of 5.4 × 109 N/m2, how far to the right does the top face move relative to the stationary bottom face? (length =0.25m, height=0.10m, width=0.10m) A) 5.8 × 10-6 m B) 2.6 × 10-6 m C) 1.1 × 10-6 m D) 6.5 × 10-7 m E) 3.4 × 10-7 m

B) 2.6 × 10-6 m

An iron ball hangs from a 21.5-m steel cable and is used in the demolition of a building at a location where the acceleration due to gravity is 9.78 m/s2. The ball is swung outward from its equilibrium position for a distance of 4.20 m. Assuming the system behaves as a simple pendulum, find the maximum speed of the ball during its swing. A) 4.45 m/s B) 2.83 m/s C) 17.8 m/s D) 1.71 m/s E) 9.78 m/

B) 2.83 m/s

A fan rotating with an initial angular velocity of 1000 rev/min is switched off. In 2 seconds, the angular velocity decreases to 200 rev/min. Assuming the angular acceleration is constant, how many revolutions does the blade undergo during this time? A) 10 B) 20 C) 100 D) 125 E) 1200

B) 20

An 80-kg man balances the boy on a teeter-totter as shown. Note: Ignore the weight of the board. (bpy to fulcrum = 4m; man to fulcrum = 1m) What is the approximate mass of the boy? A) 10 kg B) 20 kg C) 40 kg D) 45 kg E) 50 kg

B) 20 kg

A bicycle with wheels of radius 0.4 m travels on a level road at a speed of 8 m/s. What is the angular speed of the wheels? A) 10 rad/s B) 20 rad/s C) (π/10) rad/s D) (10π) rad/s E) (20/π) rad/s

B) 20 rad/s

One end of a rope is tied to the handle of a horizontally-oriented and uniform door. A force is applied to the other end of the rope as shown in the drawing. The door has a weight of 145 N and is hinged on the right. What is the maximum magnitude of for which the door will remain at rest? (angle 20; hinge to handle =2.50m; hinge to door=3.13m) A) 145 N B) 265 N C) 381 N D) 424 N E) 530 N

B) 265 N

A string is tied to a doorknob 0.72 m from the hinge as illustrated in the figure. At the instant shown, the force applied to the string is 5.0 N. What is the magnitude of the torque on the door? (two angles at 33 and 57) A) 2.1 N ⋅ m B) 3.0 N ⋅ m C) 1.0 N ⋅ m D) 0.78 N ⋅ m E) 0.60 N ⋅ m

B) 3.0 N ⋅ m

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. Atmospheric pressure is 1.01 × 105 N/m2; and the density of mercury is 13 600 kg/m3. (A= 12cm^2, B= 5.6cm^2, C=6.0cm^2) What is the total pressure at point B? A) 1.01 × 105 Pa B) 3.64 × 104 Pa C) 4.27 × 105 Pa D) 6.44 × 104 Pa E) 7.45 × 104 Pa

B) 3.64 × 104 Pa

Melissa's favorite exercise equipment at the gym consists of various springs. In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position. The other end of the spring (spring constant = 45 N/m) is held in place by the equipment frame. What is the magnitude of the force that Melissa is applying to the handle grip? A) 29 N B) 36 N C) 42 N D) 54 N E) 66 N

B) 36 N

In a car lift, compressed air with a gauge pressure of 4.0 × 105 Pa is used to raise a piston with a circular cross-sectional area. If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston? A) 530 kg B) 3700 kg C) 9800 kg D) 22 000 kg E) 41 000 kg

B) 3700 kg

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. Atmospheric pressure is 1.01 × 105 N/m2; and the density of mercury is 13 600 kg/m3. (A= 12cm^2, B= 5.6cm^2, C=6.0cm^2) At what speed is mercury flowing past the point labeled A? A) 2.0 m/s B) 4.0 m/s C) 8.0 m/s D) 12 m/s E) 16 m/s

B) 4.0 m/s

An ice cube, ρ = 917 kg/m3, is sliding down a frictionless incline as shown in the drawing. The sides of the cube each have a length of 0.75 m. What pressure does the cube exert on the incline? (angle =16) A) 1800 Pa B) 6500 Pa C) 3600 Pa D) 2700 Pa E) 5100 Pa

B) 6500 Pa

A woman is enjoying a tropical drink while lying on a beach. The acceleration due to gravity at her location is 9.78 m/s2. What gauge pressure must exist in the woman's mouth if she is drinking through a straw extending 0.075 m above the surface of the drink? Note: Assume the drink has a density of 1020 kg/m3. A) 850 Pa B) 750 Pa C) 1100 Pa D) 1000 Pa E) 920 Pa

B) 750 Pa

Three children are pulling on a rotatable platform on a playground. The platform has a radius of 3.80 m. In the picture, two children are pulling with equal forces of 40.0 N in an attempt to make the platform rotate clockwise. The third child applies a force of 60 N as shown. What is the net torque on the platform? Note: "ccw" is counterclockwise and "cw" is clockwise. A) 76 N ⋅ m, ccw B) 76 N ⋅ m, cw C) 290 N ⋅ m, ccw D) 290 N ⋅ m, cw E) 0 N ⋅ m

B) 76 N ⋅ m, cw

A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of 20.0 rad/s2. What is the tangential acceleration of a point on the edge of the disk at the instant that its angular speed is 1.0 rev/s? A) 40 m/s2 B) 79 m/s2 C) 110 m/s2 D) 120 m/s2 E) zero m/s2

B) 79 m/s2

One of the largest barometers ever built was an oil-filled barometer constructed in Leicester, England in 1991. The oil had a height of 12.2 m. Assuming a pressure of 1.013 × 105 Pa, what was the density of the oil used in the barometer? A) 798 kg/m3 B) 847 kg/m3 C) 981 kg/m3 D) 1150 kg/m3 E) 1210 kg/m3

B) 847 kg/m3

A 4.0-kg ball moves in a straight line at 8.0 m/s as shown in the figure. At the instant shown, what is its angular momentum about the point P? (3.0 m to point P perpendicular to momentum of ball) A) 33 kg ⋅ m2/s B) 85 kg ⋅ m2/s C) 110 kg ⋅ m2/s D) 160 kg ⋅ m2/s E) zero kg ⋅ m2/s

B) 85 kg ⋅ m2/s

A large tank is filled with water to a depth of 15 m. A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing. With what speed will water emerge from the spout? A) 3.1 m/s B) 9.9 m/s C) 14 m/s D) 17 m/s E) 31 m/s

B) 9.9 m/s

A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows uniformly to 15 rev/s over a 3.0-s interval. What is the angular acceleration of a point on the wheel? A) -2.0 rev/s2 B) 0.67 rev/s2 C) -6.7 rev/s2 D) 42 rev/s2 E) -17 rev/s2

C) -6.7 rev/s2

A horizontal, 10-m plank weighs 100 N. It rests on two supports that are placed 1.0 m from each end as shown in the figure. How close to one end can an 800-N person stand without causing the plank to tip? A) 0 m B) 0.3 m C) 0.5 m D) 0.7 m E) 0.9 m

C) 0.5 m

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m. What is the maximum acceleration of the ball? A) 0.13 m/s2 B) 0.20 m/s2 C) 0.51 m/s2 D) 2.6 m/s2 E) 35 m/s2

C) 0.51 m/s2

A uniform disk of radius 1.2 m and mass 0.60 kg is rotating at 25 rad/s around an axis that passes through its center and is perpendicular to the disk. A rod makes contact with the rotating disk with a force of 4.5 N at a point 0.75 m from the axis of rotation as shown. The disk is brought to a stop in 5.0 s. What is the coefficient of kinetic friction for the two materials in contact? A) 0.22 B) 0.15 C) 0.64 D) 0.37 E) 0.55

C) 0.64

A 2.2-kg object is suspended from a spring with k = 18 N/m. The mass is pulled 0.35 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object? A) 0.25 J B) 0.50 J C) 1.1 J D) 2.0 J E) 4.0 J

C) 1.1 J

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s. The water encounters a constriction where its velocity is 15 m/s. What is the diameter of the constricted portion of the pipe? A) 0.44 cm B) 0.75 cm C) 1.3 cm D) 1.6 cm E) 6.7 cm

C) 1.3 cm

Two skaters, each of mass 40 kg, approach each other along parallel paths that are separated by a distance of 2 m. Both skaters have a speed of 10 m/s. The first skater carries a 2-m pole that may be considered massless. As he passes the pole, the second skater catches hold of the end. The two skaters then go around in a circle about the center of the pole. What is the angular speed of the skaters after they have linked together? A) 4 rad/s B) 5 rad/s C) 10 rad/s D) 20 rad/s E) 40 rad/s

C) 10 rad/s

A hollow sphere of radius 0.25 m is rotating at 13 rad/s about an axis that passes through its center. The mass of the sphere is 3.8 kg. Assuming a constant net torque is applied to the sphere, how much work is required to bring the sphere to a stop? A) 1.0 J B) 3.8 J C) 13 J D) 25 J E) 38 J

C) 13 J

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring. The spring is then cut into two halves. The 1.0-kg block is then made to oscillate at the end of one of the halves. What is the frequency of oscillation of the block? A) 5 Hz B) 10 Hz C) 14 Hz D) 20 Hz E) 40 Hz

C) 14 Hz

A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter. If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons. A) 250 kg B) 700 kg C) 1400 kg D) 2800 kg E) 5600 kg

C) 1400 kg

Elaine went to her outside faucet to fill a 0.0189-m3 bucket with water to wash her car. Water exits with a speed of 0.61 m/s. The radius of the faucet is 0.0078 m. How long does it take to fill the bucket completely? A) 9.0 s B) 17 s C) 160 s D) 280 s E) 490 s

C) 160 s

A spinning skater draws in her outstretched arms thereby reducing her moment of inertia by a factor of 2. Determine the ratio of her final kinetic energy to her initial kinetic energy. A) 0.5 B) 1 C) 2 D) 4 E) 16

C) 2

A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle. About how much energy does this oscillator lose per cycle? A) 0.5 % B) 1.0 % C) 2.0 % D) 3.0 % E) 4.0 %

C) 2.0 %

A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. Determine the Young's modulus of the wire. A) 1.0 × 1011 N/m2 B) 1.0 × 109 N/m2 C) 2.0 × 1011 N/m2 D) 2.0 × 109 N/m2 E) 5.0 × 1012 N/m2

C) 2.0 × 1011 N/m2

A 0.750-kg object hanging from a vertical spring is observed to oscillate with a period of 1.50 s. When the 0.750-kg object is removed and replaced by a 1.50-kg object, what will be the period of oscillation? A) 1.55 s B) 2.58 s C) 2.12 s D) 3.38 s E) 4.49 s

C) 2.12 s

A spring with a spring constant k = 1600 N/m is at rest on the bottom of an inclined plane. A 7.0-kg block slides down the plane and makes contact with the spring at point A as shown. After contact, the spring is compressed to point B, 0.20 m from point A, where the speed of the block is zero m/s. What was the speed of the block just before contact with the spring? (angle=55) A) 3.2 m/s B) 12 m/s C) 2.4 m/s D) 9.1 m/s E) 4.2 m/s

C) 2.4 m/s

The density of mercury is 1.36 × 104 kg/m3. What is the mass of a 2.16 × 10-4-m3 sample of mercury? A) 0.0343 kg B) 0.002 94 kg C) 2.94 kg D) 5.44 kg E) 6.29 kg

C) 2.94 kg

A bicycle has tires of radius 0.35 meters. If the bicycle is traveling at a constant speed of 7.8 m/s, at approximately what angular speed are the tires rotating? A) 85 rev/min B) 197 rev/min C) 214 rev/min D) 327 rev/min E) 423 rev/min

C) 214 rev/min

A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 5.0 s. How far did the bicycle travel during the 5.0 seconds of braking? A) 1.8 m B) 8.8 m C) 22 m D) 42 m E) 44 m

C) 22 m

A 1.0-kg wheel in the form of a solid disk rolls along a horizontal surface with a speed of 6.0 m/s. What is the total kinetic energy of the wheel? A) 9.0 J B) 18 J C) 27 J D) 36 J E) 54 J

C) 27 J

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. Atmospheric pressure is 1.01 × 105 N/m2; and the density of mercury is 13 600 kg/m3. (A= 12cm^2, B= 5.6cm^2, C=6.0cm^2) Determine the height h of mercury in the manometer with the evacuated upper end. A) 136 mm B) 269 mm C) 278 mm D) 366 mm E) 371 mm

C) 278 mm

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center. A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s. Determine the tangential speed of a point 0.3 m from the center of the wheel. A) 0.3 m/s B) 2 m/s C) 3 m/s D) 9 m/s E) 12 m/s

C) 3 m/s

Selena uses a garden hose to fill a bucket of water. The water enters the hose through a faucet with a 6.0-cm diameter. The speed of the water at the faucet is 5 m/s. If the faucet and the nozzle are at the same height, and the water leaves the nozzle with a speed of 20 m/s, what is the diameter of the nozzle? A) 1.5 cm B) 2.0 cm C) 3.0 cm D) 4.0 cm E) 6.0 cm

C) 3.0 cm

Consider four point masses located as shown in the sketch. The acceleration due to gravity is the same everywhere. What is the x coordinate of the center of gravity for this system? (0, 1kg-1m, 2kg-2m, 3kg-3m, 4kg-4m) (x axis) A) 2.0 m B) 2.7 m C) 3.0 m D) 3.3 m E) 3.8 m

C) 3.0 m

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m. The length and width of the ferry are 15.24 m and 6.10 m, respectfully. Determine the weight of the moving van. A) 6.09 × 103 N B) 1.00 × 104 N C) 3.34 × 104 N D) 5.11 × 104 N E) 6.68 × 104 N

C) 3.34 × 104 N

Young's modulus of nylon is 3.7 × 109 N/m2. A force of 6.0 × 105 N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m2. By what amount does the nylon stretch? A) 3.1 × 10-2 m B) 1.6 × 10-2 m C) 3.9 × 10-3 m D) 9.7 × 10-4 m E) 1.2 × 10-5 m

C) 3.9 × 10-3 m

An in-ground swimming pool has the dimensions shown in the drawing. It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 103 kg/m3. (length = 20m , width =15m) What is the total force exerted on the bottom of the swimming pool? A) 2.40 × 107 N B) 5.40 × 107 N C) 3.92 × 107 N D) 7.50 × 107 N E) 8.40 × 107 N

C) 3.92 × 107 N

A 2-kg block displaces 10 kg of water when it is held fully immersed. The object is then tied down as shown in the figure; and it displaces 5 kg of water. What is the tension in the string? A) 10 N B) 20 N C) 30 N D) 70 N E) 100 N

C) 30 N

Within a certain type of star called a neutron star, the material at the center has a mass density of 1.0 × 1018 kg/m3. If a tiny sphere of this material of radius 1.0 × 10-5 m were somehow transported to the surface of the earth, what would be the weight of this sphere? A) 1000 N B) 4200 N C) 4.1 × 104 N D) 7.0 × 104 N E) 3.8 × 109 N

C) 4.1 × 104 N

A uniform 13-kg trap door is oriented horizontally and hinged as shown. What is the magnitude of the torque on the door at the instant that the release is activated and the door can freely rotate? (length 0.75m) A) 4.9 N ⋅ m B) 9.8 N ⋅ m C) 48 N ⋅ m D) 72 N ⋅ m E) 96 N ⋅ m

C) 48 N ⋅ m

A vertical block-spring system on earth has a period of 6.0 s. What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth? A) 1.0 s B) 2.4 s C) 6.0 s D) 15 s E) 36 s

C) 6.0 s

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s.The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. What is the instantaneous speed of point B with respect to the ground? A) zero m/s B) 5.0 m/s C) 7.1 m/s D) 7.5 m/s E) 10.0 m/s

C) 7.1 m/s

The shear modulus of steel is 8.1 × 1010 N/m2. A steel nail of radius 7.5 × 10-4 m projects 0.040 m horizontally outward from a wall. A man hangs a wet raincoat of weight 28.5 N from the end of the nail. Assuming the wall holds its end of the nail, what is the vertical deflection of the other end of the nail? A) 1.8 × 10-3 m B) 3.3 × 10-2 m C) 7.9 × 10-6 m D) 4.2 × 10-4 m E) 2.1 × 10-5 m

C) 7.9 × 10-6 m

A 2.0-kg hoop rolls without slipping on a horizontal surface so that its center proceeds to the right with a constant linear speed of 6.0 m/s. What is the total kinetic energy of the hoop? A) 36 J B) 54 J C) 72 J D) 96 J E) 140 J

C) 72 J

A string is wrapped around a pulley of radius 0.05 m and moment of inertia 0.2 kg ⋅ m2. If the string is pulled with a force , the resulting angular acceleration of the pulley is 2 rad/s2. Determine the magnitude of the force . A) 0.4 N B) 2 N C) 8 N D) 16 N E) 40 N

C) 8 N

The drawing shows the top view of a door that is 1.68 m wide. Two forces are applied to the door as indicated. What is the magnitude of the net torque on the door with respect to the hinge? (upward and downward forces of 12N with angle 55; from hinge to upward angle 0.84m) A) 0 N ⋅ m B) 4.4 N ⋅ m C) 8.3 N ⋅ m D) 9.1 N ⋅ m E) 11 N ⋅ m

C) 8.3 N ⋅ m

A pirate's treasure chest lies 20.0 m below the surface of the ocean. What is the magnitude of the force that acts on the rectangular top that is 0.750 m × 0.425 m? A) 980 N B) 2.39 × 103 N C) 9.48 × 104 N D) 4.71 × 105 N E) 2.00 × 106 N

C) 9.48 × 104 N

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s2. What is its angular speed after it has turned through an angle of 628 radians? A) 15 rad/s B) 19 rad/s C) 98 rad/s D) 121 rad/s E) 150 rad/s

C) 98 rad/s

A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m3. The density of air is 1.3 kg/m3. Will the balloon rise, fall, or remain stationary; and why? A) The balloon will fall because its density is greater than that of air. B) The balloon will remain stationary because its density is less than that of air. C) The balloon will rise because the upward buoyant force is greater than its weight. D) The balloon will fall because the upward buoyant force is less than its weight. E) The balloon will fall because the downward buoyant force is greater than the upward buoyant force.

C) The balloon will rise because the upward buoyant force is greater than its weight

In the produce section of a supermarket, five pears are placed on a spring scale. The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg. If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears? A) 0.0044 m B) 0.0088 m C) 0.018 m D) 0.044 m E) 0.088 m

D) 0.044 m

A 0.800-kg block is placed on top of a vertically oriented spring as shown. The block is not attached to the spring, but the spring is attached to the floor. The block oscillates in simple harmonic motion. If the spring constant is 95.0 N/m, determine the amplitude at which the block loses contact with the spring. A) 0.0505 m B) 0.0615 m C) 0.0735 m D) 0.0825 m E) 0.0945 m

D) 0.0825 m

Two equal spheres, labeled A and B in the figure, are attached to a massless rod with a frictionless pivot at the point P. The system is made to rotate clockwise with angular speed ω on a horizontal, frictionless tabletop. Sphere A collides with and sticks to another equal sphere that is at rest on the tabletop. Note: the masses of all three spheres are equal. (A to P = R, P to B = R/2) What is the angular speed of the system immediately after the collision? A) ω B) 0.82ω C) 0.60ω D) 0.56ω E) 0.29ω

D) 0.56ω

A spring with constant k = 78 N/m is at the base of a frictionless, 30.0°-inclined plane. A 0.50-kg block is pressed against the spring, compressing it 0.20 m from its equilibrium position. The block is then released. If the block is not attached to the spring, how far up the incline will it travel before it stops? A) 0.080 m B) 0.16 m C) 0.32 m D) 0.64 m E) 1.1 m

D) 0.64 m

A meter stick is pivoted at the 0.50-m line. A 3.0-kg object is hung from the 0.15-m line. Where should a 5.0-kg object be hung to achieve equilibrium (the meter stick oriented horizontal and motionless)? A) 0.06-m line B) 0.24-m line C) 0.56-m line D) 0.71-m line E) A 5.0-kg object cannot be placed anywhere on the meter stick to result in equilibrium in this system.

D) 0.71-m line

Water is flowing through a rectangular channel that is 12 m wide with a speed of 0.75 m/s. The water then flows into four identical rectangular channels that have a width of 3.0 m. The depth of the water does not change as it flows into the four channels. What is the speed of the water in one of the smaller channels? A) 0.56 m/s B) 2.3 m/s C) 0.25 m/s D) 0.75 m/s E) 3.0 m/s

D) 0.75 m/s

In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s. The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s. What is the ratio L2/L1? A) 0.90 B) 0.95 C) 1.0 D) 1.1 E) 1.3

D) 1.1

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center. A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s. Determine the angular speed of the wheel. A) 0.4 rad/s B) 2.0 rad/s C) 4.0 rad/s D) 10 rad/s E) 20 rad/s

D) 10 rad/s

A 60.0-kg skater begins a spin with an angular speed of 6.0 rad/s. By changing the position of her arms, the skater decreases her moment of inertia to one-half its initial value. What is the skater's final angular speed? A) 3.0 rad/s B) 4.5 rad/s C) 9.0 rad/s D) 12 rad/s E) 18 rad/s

D) 12 rad/s

A 25-coil spring with a spring constant of 275 N/m is cut into five equal springs with five coils each. What is the spring constant of each of the 5-coil springs? A) 55 N/m B) 275 N/m C) 950 N/m D) 1375 N/m E) 1750 N/m

D) 1375 N/m

A circular disk of radius 0.015 m rotates with a constant angular speed of 5.0 rev/s. What is the acceleration of a point on the edge of the disk? A) 0.31 m/s2 B) 1.6 m/s2 C) 9.9 m/s2 D) 15 m/s2 E) zero m/s2

D) 15 m/s2

A simple pendulum on earth has a period of 6.0 s. What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth? A) 1.0 s B) 2.4 s C) 6.0 s D) 15 s E) 36 s

D) 15 s

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s. What is the tangential speed of a point on the rim of the grindstone? A) zero m/s B) 0.5 m/s C) 1.0 m/s D) 2.0 m/s E) 4.0 m/s

D) 2.0 m/s

A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. What is the elongation strain on the wire? A) 1.0 × 102 B) 1.0 × 10-2 C) 5.0 × 102 D) 2.5 × 10-3 E) 4.0 × 102

D) 2.5 × 10-3

A certain spring compressed 0.20 m has 10 J of elastic potential energy. The spring is then cut into two halves and one of the halves is compressed by 0.20 m. How much potential energy is stored in the compressed half of the spring? A) 5 J B) 10 J C) 14 J D) 20 J E) 40 J

D) 20 J

During the spin-dry cycle of a washing machine, the motor slows from 90 rad/s to 30 rad/s while the turning the drum through an angle of 180 radians. What is the magnitude of the angular acceleration of the motor? A) 64 rad/s2 B) 32 rad/s2 C) 10 rad/s2 D) 20 rad/s2 E) 1.0 rad/s2

D) 20 rad/s2

A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m3. The density of air is 1.3 kg/m3. What is the magnitude of the initial acceleration of the balloon? A) zero m/s2 B) 9.8 m/s2 C) 10.9 m/s2 D) 22.1 m/s2 E) 43.6 m/s2

D) 22.1 m/s2

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m3. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, PB - PA, between points B and A? A) -1.9 × 103 Pa B) +3.8 × 103 Pa C) -2.5 × 104 Pa D) +5.0 × 104 Pa E) -3.9 × 104 Pa

E) -3.9 × 104 Pa

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion. What is the speed of the block each time the spring is 5.0 cm long? A) zero cm/s B) 422 cm/s C) 344 cm/s D) 220 cm/s E) 160 cm/s

D) 220 cm/s

A rider on a motorcycle that has a mass of 195 kg is traveling with a speed of 24 m/s. Each of the two wheels of the motorcycle has a radius of 0.29 m and a moment of inertia of 0.46 kg ⋅ m2. What is the approximate total rotational kinetic energy of the wheels? A) 800 J B) 1100 J C) 1500 J D) 3200 J E) 4100 J

D) 3200 J

In the drawing shown, the large wheel has a radius of 7.1 m. A rope is wrapped around the edge of the wheel and a 7.6 kg-box hangs from the rope. A smaller disk of radius 1.38 m is attached to the wheel. A rope is wrapped around the edge of the disk as shown. An axis of rotation passes through the center of the wheel-disk system. What is the value of the mass M that will prevent the wheel from rotating? A) 34 kg B) 12 kg C) 17 kg D) 39 kg E) 46 kg

D) 39 kg

A 3.0-kg ball and a 1.0-kg ball are placed at opposite ends of a massless beam so that the system is in equilibrium as shown. Note: The drawing is not drawn to scale. What is the value of the ratio of the lengths, b/a? A) 2.0 B) 2.5 C) 3.0 D) 4.0 E) 5.0

D) 4.0

How much force does the atmosphere exert on one side of a vertical wall 4.00-m high and 10.0-m long? A) 2.53 × 103 N B) 1.01 × 105 N C) 4.05 × 105 N D) 4.05 × 106 N E) zero N

D) 4.05 × 106 N

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion. What is the total mechanical energy of the system at any instant? A) 0.25 J B) 0.49 J C) 0.98 J D) 4.4 J E) 9.8 J

D) 4.4 J

A bicycle wheel of radius 0.70 m is rotating at an angular speed of 6.3 rad/s as it rolls on a horizontal surface without slipping. What is the linear speed of the wheel? A) 1.4 m/s B) 28 m/s C) 0.11 m/s D) 4.4 m/s E) 9.1 m/s

D) 4.4 m/s

What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located 0.114 m from the axis of rotation; and the wheel is rotating at 6.53 rev/sec? A) 0.745 m/s B) 1.49 m/s C) 2.98 m/s D) 4.68 m/s E) 9.36 m/s

D) 4.68 m/s

A bicycle travels 141 m along a circular track of radius 30 m. What is the angular displacement in radians of the bicycle from its starting position? A) 1.0 rad B) 1.5 rad C) 3.0 rad D) 4.7 rad E) 9.4 rad

D) 4.7 rad

A car is moving along a horizontal road at a constant velocity that is directed 45° south of east. What is the direction of the angular velocity of the wheels of the car? A) 45° south of west B) 45° north of west C) 45° south of east D) 45° north of east E) due east

D) 45° north of east

A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 5.0 s. Through how many revolutions did the wheel rotate during the 5.0 seconds of braking? A) 10 rev B) 2.0 rev C) 9.6 rev D) 5.0 rev E) 0.4 rev

D) 5.0 rev

A 66-N ⋅ m torque acts on a wheel with a moment of inertia 175 kg ⋅ m2. If the wheel starts from rest, how long will it take the wheel to make one revolution? A) 0.37 s B) 0.71 s C) 2.4 s D) 5.8 s E) 6.9 s

D) 5.8 s

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3. Determine the density of the object. A) 330 kg/m3 B) 500 kg/m3 C) 1.2 × 103 kg/m3 D) 5.9 × 103 kg/m3 E) 7.5 × 103 kg/m3

D) 5.9 × 103 kg/m3

What mass of water (at 4.0 °C) can be contained in a rectangular box whose dimensions are 10.0 cm by 5.00 cm by 1.00 cm? The density of water at 4.0 °C is 1.000 × 103 kg/m3. A) 5.0 g B) 10.0 g C) 25.0 g D) 50.0 g E) 0.25 kg

D) 50.0 g

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion. What is the frequency of the motion? A) 0.50 Hz B) 1.0 Hz C) 5.0 Hz D) 7.0 Hz E) 44 Hz

D) 7.0 Hz

On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to a maximum rotational speed of 1.4 rad/s. What is the instantaneous tangential speed of the passengers 15 s after the acceleration begins? A) 0.067 m/s B) 0.50 m/s C) 1.4 m/s D) 7.5 m/s E) 11 m/s

D) 7.5 m/s

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. Atmospheric pressure is 1.01 × 105 N/m2; and the density of mercury is 13 600 kg/m3. (A= 12cm^2, B= 5.6cm^2, C=6.0cm^2) At what speed is mercury flowing past the point labeled B? A) 2.27 m/s B) 4.27 m/s C) 7.47 m/s D) 8.57 m/s E) 9.28 m/s

D) 8.57 m/s

At a location where the acceleration due to gravity is 9.807 m/s2, the atmospheric pressure is 9.891 × 104 Pa. A barometer at the same location is filled with an unknown liquid. What is the density of the unknown liquid if its height in the barometer is 1.163 m? A) 210 kg/m3 B) 4336 kg/m3 C) 5317 kg/m3 D) 8672 kg/m3 E) 9688 kg/m3

D) 8672 kg/m3

A large vat is continually filled with a viscous liquid that flows from two equally long, cylindrical pipes, labeled A and B, onto a conveyer belt as shown in the drawing. The diameter of pipe B is 1.75 times larger than that of pipe A. What is the ratio of the average volume flow rate of the liquid exiting pipe B to that of the liquid exiting pipe A? A) 1.87 B) 3.06 C) 1.32 D) 9.38 E) 4.33

D) 9.38

Planets A and B are uniform solid spheres that rotate at a constant speed about axes through their centers. Although B has twice the mass and three times the radius of A, each planet has the same rotational kinetic energy. What is the ratio ωB/ωA of their angular speeds? A) 0.055 B) 0.093 C) 0.165 D) 0.191 E) 0.236

E) 0.236

Two motorcycles are riding around a circular track at the same angular velocity. One motorcycle is at a radius of 15 m; and the second is at a radius of 18 m. What is the ratio of their linear speeds, v2/v1? A) 1.0 B) 0.83 C) 1.4 D) 0.71 E) 1.2

E) 1.2

A thin, circular hoop with a radius of 0.32 m is hanging on a nail. Adam notices that the hoop is oscillating back and forth through small angles like a physical pendulum. The moment of inertia of the hoop for the rotational axis passing through the nail is I = 2mr2. What is the period of the hoop? A) 1.3 s B) 0.94 s C) 0.59 s D) 1.1 s E) 1.6 s

E) 1.6 s

The average density of the material in intergalactic space is approximately 2.5 × 10-27 kg/m3. What is the volume of a lead sample, ρ = 11 300 kg/m3, that has the same mass as 8.0 × 1024 m3 of intergalactic space? A) 1.0 × 10-6 m3 B) 2.2 × 10-5 m3 C) 5.4 × 10-6 m3 D) 3.6 × 10-5 m3 E) 1.8 × 10-6 m3

E) 1.8 × 10-6 m3

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the average angular speed of the grindstone? A) 0.5 rad/s B) 2.0 rad/s C) 4.0 rad/s D) 8.0 rad/s E) 10 rad/s

E) 10 rad/s

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s.The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. What is the instantaneous speed of point A with respect to the ground? A) zero m/s B) 2.5 m/s C) 5.0 m/s D) 7.1 m/s E) 10.0 m/s

E) 10.0 m/s

A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s2, to the bottom of Death Valley. At this location, the period of the pendulum is decreased by 3.00%. What is the value of g in Death Valley? A) 9.22 m/s2 B) 9.51 m/s2 C) 9.80 m/s2 D) 10.1 m/s2 E) 10.4 m/s2

E) 10.4 m/s2

An 80-kg man balances the boy on a teeter-totter as shown. Note: Ignore the weight of the board. (bpy to fulcrum = 4m; man to fulcrum = 1m) What, approximately, is the magnitude of the downward force exerted on the fulcrum? A) zero newtons B) 100 N C) 600 N D) 800 N E) 1000 N

E) 1000 N

A ceiling fan has five blades, each with a mass of 0.34 kg and a length of 0.66 m. The fan is operating in its "low" setting at which the angular speed is 9.4 rad/s. If the blades can be approximated as uniform thin rods that rotate about one end, what is the total rotational kinetic energy of the five blades? A) 35 J B) 29 J C) 23 J D) 17 J E) 11 J

E) 11 J

A massless frame in the shape of a square with 2-m sides has a 1-kg ball at each corner. What is the moment of inertia of the four balls about an axis through the corner marked O and perpendicular to the plane of the paper? A) 4 kg ⋅ m2 B) 8 kg ⋅ m2 C) 10 kg ⋅ m2 D) 12 kg ⋅ m2 E) 16 kg ⋅ m2

E) 16 kg ⋅ m2

A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m. What is the angular momentum of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 × 104 s? A) 3.9 × 106 kg ⋅ m2/s B) 1.4 × 1014 kg ⋅ m2/s C) 6.2 × 108 kg ⋅ m2/s D) 8.1 × 1011 kg ⋅ m2/s E) 2.4 × 1013 kg ⋅ m2/s

E) 2.4 × 1013 kg ⋅ m2/s

A gas sample is confined within a chamber that has a movable piston. A small load is placed on the piston; and the system is allowed to reach equilibrium. If the total weight of the piston and load is 70.0 N and the piston has an area of 5.0 × 10-4 m2, what is the pressure exerted on the piston by the gas? Note: Atmospheric pressure is 1.013 × 105 Pa. A) 2.8 × 104 Pa B) 5.6 × 104 Pa C) 7.3 × 104 Pa D) 1.4 × 105 Pa E) 2.4 × 105 Pa

E) 2.4 × 105 Pa

A 1.0-m roulette wheel reaches a maximum angular speed of 18 rad/s before it begins decelerating. After reaching this maximum angular speed, it turns through 35 revolutions (220 rad) before it stops. How long did it take the wheel to stop after reaching its maximum angular speed? A) 12 s B) 48 s C) 3.7 s D) 8.8 s E) 24 s

E) 24 s

A block is suspended from the ceiling by a long, thin strip of tungsten metal. The strip behaves as a spring. To produce a 0.25 m horizontal deflection of the block, a force of 6.5 N is required. Calculate the spring constant for the tungsten strip. A) 0.038 N/m B) 1.2 N/m C) 1.6 N/m D) 13 N/m E) 26 N/m

E) 26 N/m

A solid sphere rolls without slipping along a horizontal surface. What percentage of its total kinetic energy is rotational kinetic energy? A) 33 % B) 50 % C) 12 % D) 75 % E) 29 %

E) 29 %

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion. What is the maximum acceleration of the block? A) 1.6 m/s2 B) 3.1 m/s2 C) 49 m/s2 D) 98 m/s2 E) 290 m/s2

E) 290 m/s2

In a classroom demonstration, a 79.2-kg physics professor lies on a "bed of nails." The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. If the area of contact at the head of each nail is 1.26 × 10-6 m2, what is the average pressure at each contact? A) 1.58 × 105 Pa B) 1.27 × 106 Pa C) 2.40 × 104 Pa D) 4.82 × 104 Pa E) 3.16 × 105 Pa

E) 3.16 × 105 Pa

A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. What is its angular acceleration? A) 0.313 rad/s2 B) 0.625 rad/s2 C) 2.50 rad/s2 D) 1.97 rad/s2 E) 3.93 rad/s2

E) 3.93 rad/s2

A barometer is taken from the base to the top of a 279-m tower. Assuming the density of air is 1.29 kg/m3, what is the measured change in pressure? A) 359 Pa B) 927 Pa C) 2120 Pa D) 2730 Pa E) 3530 Pa

E) 3530 Pa

A small sculpture made of brass (ρbrass = 8470 kg/m3) is believed to have a secret central cavity. The weight of the sculpture in air is 15.76 N. When it is submerged in water, the weight is 13.86 N. What is the volume of the secret cavity? A) 1 × 10-4 m3 B) 2 × 10-4 m3 C) 3 × 10-5 m3 D) 2 × 10-6 m3 E) 4 × 10-6 m3

E) 4 × 10-6 m3

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s. What is the magnitude of the centripetal acceleration of a point on the rim of the grindstone? A) zero m/s2 B) 0.5 m/s2 C) 1.0 m/s2 D) 2.0 m/s2 E) 4.0 m/s2

E) 4.0 m/s2

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string? A) 0.25 s B) 0.50 s C) 1.0 s D) 2.0 s E) 4.0 s

E) 4.0 s

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. Atmospheric pressure is 1.01 × 105 N/m2; and the density of mercury is 13 600 kg/m3. (A= 12cm^2, B= 5.6cm^2, C=6.0cm^2) What is the total pressure at point A? A) 1.01 × 105 Pa B) 2.02 × 105 Pa C) 2.25 × 105 Pa D) 3.26 × 105 Pa E) 4.27 × 105 Pa

E) 4.27 × 105 Pa

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. Through how many revolutions does the grindstone turn during the 4.0-second interval? A) 0.64 B) 3.8 C) 4.0 D) 6.4 E) 40

E) 40

What is the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolution every 23.93 h and has an equatorial radius of 6380 km. A) 74.0 m/s B) 116 m/s C) 148 m/s D) 232 m/s E) 465 m/s

E) 465 m/s

A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. What is the stress on the wire? A) 5.0 × 102 N/m2 B) 1.0 × 106 N/m2 C) 1.0 × 108 N/m2 D) 5.0 × 106 N/m2 E) 5.0 × 108 N/m2

E) 5.0 × 108 N/m2

The position of a simple harmonic oscillator is given by where t is in seconds. What is the period of the oscillator? A) 0.17 s B) 0.67 s C) 1.5 s D) 3.0 s E) 6.0 s

E) 6.0 s

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s. It then enters a smaller pipe of diameter 3.0 cm. What is the speed of the water as it flows through the smaller pipe? A) 1.4 m/s B) 2.8 m/s C) 27 m/s D) 54 m/s E) 71 m/s

E) 71 m/s

During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD? A) 358 rad/s2 B) 126 rad/s2 C) 901 rad/s2 D) 866 rad/s2 E) 794 rad/s2

E) 794 rad/s2

Two skaters, each of mass 40 kg, approach each other along parallel paths that are separated by a distance of 2 m. Both skaters have a speed of 10 m/s. The first skater carries a 2-m pole that may be considered massless. As he passes the pole, the second skater catches hold of the end. The two skaters then go around in a circle about the center of the pole. What is their combined angular momentum about the center of the pole? A) 2 kg ⋅ m2/s B) 40 kg ⋅ m2/s C) 80 kg ⋅ m2/s D) 400 kg ⋅ m2/s E) 800 kg ⋅ m2/s

E) 800 kg ⋅ m2/s

Three objects are attached to a massless rigid rod that has an axis of rotation as shown. Assuming all of the mass of each object is located at the point shown for each, calculate the moment of inertia of this system. (axis to point 1= 1.0m, point 1 = 2 kg; point 1 to point 2 = 1.0m, point 2=1.0kg; point 2 to point 3=0.50m, point 3 =0.50kg) A) 1.3 kg ⋅ m2 B) 3.1 kg ⋅ m2 C) 5.3 kg ⋅ m2 D) 7.2 kg ⋅ m2 E) 9.1 kg ⋅ m2

E) 9.1 kg ⋅ m2

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center. A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s. Determine the tangential acceleration of the point that is 0.2 m from the center. A) 0.4 m/s2 B) 2.0 m/s2 C) 4.0 m/s2 D) 10 m/s2 E) zero m/s2

E) zero m/s2