Physics Final Exam

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An air bubble underwater has the same pressure as that of the water. As the air bubble rises toward the surface (and its temperature remains constant), the volume of the air bubble A) increases. B) decreases. C) increases or decreases, depending on the rate it rises. D) remains constant.

A) increases.

In England in the Middle Ages an extensive system of canals was used for transportation. Some of these canals crossed over canyons by flowing over bridges (viaducts). Suppose that a heavily loaded barge crossed over such a waterway bridge. A) The force on the bridge would not change when the barge passed over. B) Whether or not the force on the bridge would increase or decrease would depend on whether the water was flowing or stationary. C) The force downward on the bridge would increase because of the added weight of the barge. D) The force on the bridge would become less because of the buoyancy effect of the water on the barge. E) The force on the barge would become less because some water would be squeezed off of the bridge.

A) The force on the bridge would not change when the barge passed over.

Which of the following is an accurate statement about vectors? A) The magnitude of a vector is positive even if all of its components are negative B) The magnitude of a vector can be zero even though one of its components is not zero. C) It is possible to add a scalar quantity to a vector. D) Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. E) Rotating a vector about an axis passing through the tip of the vector does not change the vector.

A) The magnitude of a vector is positive even if all of its components are negative

A ball can be rolled down one of four different ramps, as shown in Figure 7.1. The final elevation loss of each of the ramps is the same. Neglecting friction, for which ramp will the speed of the ball be the highest at the bottom? A) The speed of the ball will be the same for all ramps. B) Ramp X C) Ramp Y D) Ramp Z

A) The speed of the ball will be the same for all ramps.

The motions of a car and a truck along a straight road are represented by the velocity-time graphs in Figure 2.3. The two vehicles are initially alongside each other at time t = 0. Figure 2.3 At time T, what is true of the distances travelled by the vehicles since time t = 0? A) The truck will have travelled further than the car. B) The truck will not have moved. C) The car will have travelled further than the truck. D) They will have travelled the same distance.

A) The truck will have travelled further than the car.

Three cars, car X, car Y, and car Z, begin accelerating from rest, at the same time. Car X is more massive than car Y, which is more massive than car Z. The net force exerted on each car is identical. After 10 seconds, which car has the most amount of momentum? A) They all have the same amount of momentum B) Car Z C) Car Y D) Car X

A) They all have the same amount of momentum

A person stands on the edge of a cliff. She throws three identical rocks with the same speed. Rock X is thrown vertically upward, rock Y is thrown horizontally, and rock Z is thrown vertically downward. Assuming the elevation loss of the three rocks is the same (the base of the cliff is flat), which rock hits the ground with the highest speed? A) They all hit the ground with the same speed. B) Rock Z C) Rock X D) Rock Y

A) They all hit the ground with the same speed.

Three cars (car F, car G, and car H) are moving with the same velocity, and slam on the brakes. The most massive car is car F, and the least massive is car H. Assuming all three cars have identical tires, which car travels the longest distance to skid to a stop? A) They all travel the same distance in stopping. B) Car G C) Car H D) Car F

A) They all travel the same distance in stopping.

Sue and Betti both ski straight down a hill, both starting from rest. Sue weighs more than Betti. Neglecting friction and wind resistance, which skier will be moving the fastest at the bottom of the hill? A) They will be moving with the same speed. B) Betti C) Sue

A) They will be moving with the same speed.

In Figure 5.9, a certain type of string will break if the tension in the string exceeds 300 N. A number of 8-kg weights are hung one below the other from a hook in the ceiling using this string. The number of weights which causes the string to break and the string segment which will break are as follows: A) When the 4th weight is added, the top string segment will break. B) Each segment has a tension of 78.4 N, and there is no limit to the number of weights which can be suspended. C) When the 4th weight is added, all string segments will break. D) When the 38th weight is added, all string segments will break. E) When the 4th weight is added, the bottom string segment will break.

A) When the 4th weight is added, the top string segment will break.

A mass attached to a very light spring executes simple harmonic motion. If you want to double its total energy, you should A) double the force constant of the spring while changing nothing else. B) double both the mass and amplitude of vibration. C) double both the amplitude and force constant. D) double the mass while changing nothing else. E) double the amplitude of vibration while changing nothing else.

A) double the force constant of the spring while changing nothing else.

Joe and Bill throw identical balls vertically upward. Joe throws his ball with an initial speed twice as high as Bill. The maximum height of Joe's ball will be A) four times that of Bill's ball. B) equal to that of Bill's ball. C) roughly 1.3 times that of Bill's ball. D) two times that of Bill's ball. E) eight times that of Bill's ball.

A) four times that of Bill's ball.

In Figure 8.10, determine the character of the collision. The masses of the blocks, and the velocities before and after are given. The collision is: A) completely inelastic. B) partially inelastic. C) characterized by an increase in kinetic energy. D) perfectly elastic. E) not possible because momentum is not conserved.

B) partially inelastic.

A disk and a sphere are released simultaneously at the top of an inclined plane. They roll down without slipping. Which will reach the bottom first? A) The disk. B) The one of greatest mass. C) The sphere. D) The one of smallest diameter. E) They will reach the bottom at the same time.

C) The sphere.

A roadway is designed for traffic moving at a speed of 66 m/s. A curved section of the roadway is a circular arc of 290 m radius. The roadway is banked—so that a vehicle can go around the curve—with the lateral friction forces equal to zero. The angle at which the roadway is banked is closest to: A) 51° B) 53° C) 55° D) 57° E) 59°

D) 57°

Three cars (car L, car M, and car N) are moving with the same velocity, and slam on the brakes. The most massive car is car L, and the least massive is car N. Assuming all three cars have identical tires, for which car is the amount of work done by friction in stopping it the highest? A) The amount of work done by friction is the same for all cars. B) Car M C) Car N D) Car L

D) Car L

Two blocks, A and B, are being pulled to the right along a horizontal surface by a horizontal 100 N pull, as shown in Figure 4.5. Both of them are moving together at a constant velocity of 2.0 m/s to the right, and both weigh the same. Which of the figures below shows a correct free-body diagram of the horizontal forces acting on upper block, A?

[A] No horizontal force is acting on the upper block A

Shown here are the velocity and acceleration vectors for an object in several different types of motion. In which case is the object slowing down and turning to its right?

a = diagonally left, v = pointing down

Shown here are the velocity and acceleration vectors for an object in several different types of motion. In which case is the object's velocity changing while its speed is not changing?

a = pointing up on top of v, v = pointing right under a

Two blocks, A and B, are being pulled to the right along a horizontal surface by a horizontal 100 N pull, as shown in Figure 4.5. Both of them are moving together at a constant velocity of 2.0 m/s to the right, and both weigh the same. Which of the figures below shows a correct free-body diagram of the horizontal forces acting on lower block, B?

100N <---[B]--->100N

Three objects are moving along a straight line as shown in Figure 8.1. Taking the positive direction to be to the right, what is the total momentum of this system? Figure 8.1 A) -14 kg m/s B) 0 kg m/s C) +106 kg m/s D) +14 kg m/sE) -106 kg m/s

A) -14 kg m/s

Two identical objects A and B fall from rest from different heights to the ground. If object B takes twice as long as A to reach the ground, what is the ratio of the heights from which A and B fell? Neglect air resistance. A) 1 : 4 B) 1 : Square root 2 C) 1 : 2 D) 1 : 8

A) 1 : 4

A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start, as shown in Figure 2.2. The car reaches a speed of 140 km/h as it passes marker 2. Figure 2.2 Whereabouts on the track was the car when it was traveling at half this speed, i.e. at 70 km/h? A) Between marker 1 and marker 2 B) At marker 1 C) Before marker 1

A) Between marker 1 and marker 2

A person ties a rock to a string and whirls it around in a vertical circle such that sometimes the rock is going straight upward and sometimes the rock is going straight down. She whirls the rock at the minimum speed (constant in time) such that the string is always taut (no sag). When is the tension the highest? A) It is highest when the rock is at the lowest elevation. B) The tension is constant as the rock moves around in a circle. C) It is highest when the rock is at the highest elevation

A) It is highest when the rock is at the lowest elevation.

Two bodies P and Q on a perfectly smooth horizontal surface are connected by a light cord. The mass of P is greater than that of Q. A horizontal force F is applied to Q as shown in Figure 4.4, accelerating the bodies to the right. Figure 4.4 The magnitude of the force exerted by the connecting cord on body P will be A) less than F but not zero. B) greater than F. C) equal to F. D) zero.

A) less than F but not zero.

A wooden block contains some nails so that its density is exactly equal to that of water. If it is placed in a tank of water and released from rest when it is completely submerged, it will A) remain where it is released. B) sink to the bottom. C) rise to the surface.

A) remain where it is released.

A merry-go-round is spinning at a fixed rate. As a person is walking toward the edge, A) the force of static friction must decrease in order for the person not to slide off. B) the force of static friction must increase in order for the person not to slide off. C) the force of static friction such that the person does not slide off remains the same.

A) the force of static friction must decrease in order for the person not to slide off.

If you stood on a planet having a mass four times higher than Earth's mass, and a radius two times longer than Earth's radius, you would weigh A) the same as you do on Earth. B) four times more than you do on Earth. C) two times less than you do on Earth. D) two times more than you do on Earth.

A) the same as you do on Earth.

Consider a brick that is totally immersed in water. The long edge of the brick is vertical. The pressure on the brick is A) greatest on the sides of the brick. B) greatest on the bottom of the brick. C) greatest on the face with largest area. D) the same on all surfaces of the brick. E) greatest on the top of the brick.

B) greatest on the bottom of the brick.

A person ties a rock to a string and whirls it around in a vertical circle such that sometimes the rock is going straight upward and sometimes the rock is going straight down. She whirls the rock at the minimum speed (constant in time) such that the string is always taut (no sag). If she were to use a longer string, she would have to whirl the rock at a A) the same velocity. B) higher velocity. C) lower velocity.

B) higher velocity.

Joe and Bill are playing tug-o-war. Joe is pulling with a force of 200 N. Bill is simply hanging on to the rope. Neither person is moving. What is the tension of the rope? A) 300 N B) 200 N C) 400 N D) 0 N

B) 200 N

A person who normally weighs 200 pounds is standing on a scale inside an elevator. The elevator is moving upwards with a speed of 7 m/s, and then begins to slow down at a rate of 5 m/s2. Before the elevator begins to slow down, the reading of the scale is _________, and while the elevator is slowing down, the reading of the scale is ________. A) less than 200 pounds, 100 pounds B) 200 pounds, 100 pounds C) greater than 200 pounds, 0 pounds D) greater than 200 pounds, 100 pounds E) none of the above

B) 200 pounds, 100 pounds

The graph in Figure 2.1 shows the position of an object as a function of time. The letters H-L represent particular moments of time. At which moment in time is the speed of the object equal to zero? A) J B) I C) K D) H E) L

B) I, middle of bell highest point

As shown in Figure 4.3, a woman is straining to lift a large crate, without success. It is too heavy. We denote the forces on the crate as follows: P is the upward force being exerted on the crate by the person, C is the contact force on the crate by the floor, and W is the weight of the crate. Figure 4.3 How are the magnitudes of these forces related, while the person is trying unsuccessfully to lift the crate? Explain your reasoning. A) P + C < W B) P + C = W C) P + C > W D) P = C

B) P + C = W

A simple pendulum having a bob of mass M has a period T. If you double M but change nothing else, the period would be A) 2T B) T C) T square root (2 ) D) T/2 E) T/ square root (2)

B) T

You need to make a sharp turn on a flat road, making a radius of curvature of 15 meters. How does the required force of static friction between your tires compare if you make the turn at 30 mph vs. 60 mph? A) the force of friction is the same for both speeds since the radius of curvature is the same. B) The force of friction needs to be four times as large. C) The force of friction needs to be twice as large. D) None of the above

B) The force of friction needs to be four times as large.

Which of the following ideas is true about projectile motion with no air drag? A) The acceleration is +g when the object is rising and -g when falling. B) The horizontal motion is independent of the vertical motion. C) The trajectory will depend on the object's mass as well as its initial velocity and launch angle. D) ν 2 x + ν 2 y = constant. E) The velocity of the object is zero at the point of maximum elevation.

B) The horizontal motion is independent of the vertical motion.

Which of the following is an accurate statement? A) Tensile strain is measured in meters. B) The ratio stress/strain is called the elastic modulus. C) Tensile stress is measured in Newtons. D) "Strain" has a meaning very close to "force". E) "Stress" has a meaning very close to "stretch".

B) The ratio stress/strain is called the elastic modulus.

An object is moving to the right in a straight line. The net force acting on the object is also directed to the right, but the magnitude of the force is decreasing with time. The object will A) continue to move to the right with a constant speed. B) continue to move to the right, with its speed increasing with time. C) continue to move to the right, with its speed decreasing with time. D) stop and then begin moving to the left.

B) continue to move to the right, with its speed increasing with time.

In addition to gravity, a falling object is subject to a constant air drag equal to 1/10 of its weight. Its acceleration is A) 0.10 g B) g C) 1.1 g D) 0.90 g

D) 0.90 g

The reason an astronaut in an earth satellite feels weightless is that A) the astronaut is beyond the range of the earth's gravity. B) the astronaut is at a point in space where the effects of the moon's gravity and the earth's gravity cancel. C) this is a psychological effect associated with rapid motion. D) the astronaut is falling. E) the astronaut's acceleration is zero.

B) the astronaut is at a point in space where the effects of the moon's gravity and the earth's gravity cancel.

A tire is rolling along a road, without slipping, with a velocity v. A piece of tape is attached to the tire. When the tape is opposite the road (at the top of the tire), its velocity with respect to the road is A) v B) 1.5 v C) 2v D) The velocity depends on the radius of the tire.

C) 2v

Which of the following situations is impossible? A) An object has zero velocity but non-zero acceleration. B) An object has constant non-zero acceleration and changing velocity. C) An object has constant non-zero velocity and changing acceleration. D) An object has velocity directed east and acceleration directed east. E) An object has velocity directed east and acceleration directed west.

C) An object has constant non-zero velocity and changing acceleration.

Three cars with identical engines and tires start from rest, and accelerate at their maximum rate. Car X is the most massive, and car Z is the least massive. Which car needs to travel the furthest distance before reaching a speed of 60 mi/h? A) Car Y B) Car Z C) Car X D) All cars need to travel the same distance, although some cars will take longer than other cars.

C) Car X

The graph in Figure 2.1 shows the position of an object as a function of time. The letters H-L represent particular moments of time. At which moment in time is the speed of the object the highest? A) L B) J C) I D) H E) K

C) I, middle of bell highest point

A small car and an SUV are at a stoplight. The car has a mass equal to half that of the SUV, and the SUV's engine can produce a maximum force equal to twice that of the car. When the light turns green, both drivers floor it at the same time. Which vehicle pulls ahead of the other vehicle after a few seconds? A) The car B) The SUV C) It is a tie.

C) It is a tie.

A person gives a shopping cart an initial push along a horizontal floor to get it moving, and then lets go. The cart travels forward along the floor, gradually slowing as it moves. Consider the horizontal force(s) on the cart while it is moving forward and slowing. Which of the following statements is correct? A) Both a forward and a backward force are acting on the cart, but the forward force is larger. B) Both a forward and a backward force are acting on the cart, but the backward force is larger. C) Only a backward force is acting, no forward force. D) Only a forward force is acting which diminishes with time.

C) Only a backward force is acting, no forward force.

During World War I, Germany used a "Big Bertha" cannon to hurl shells into Paris 30 miles away. This gun also had a long barrel. What is the reason for using a long barrel in these guns? A) To reduce frictional losses. B) To increase the force exerted on the bullet due to the expanding gases from the gunpowder. C) To allow the force of the expanding gases from the gunpowder to act for a longer time. D) To provide a larger ratio of kinetic energy to potential energy. E) To reduce the force exerted on the bullet due to the expanding gases from the gunpowder.

C) To allow the force of the expanding gases from the gunpowder to act for a longer time.

Consider what happens when you jump up in the air. Which of the following is the most accurate statement? A) Since the ground is stationary, it cannot exert the upward force necessary to propel you into the air. Instead, it is the internal forces of your muscles acting on your body itself which propels the body into the air. B) You are able to spring up because the earth exerts a force upward on you which is stronger than the downward force you exert on the earth. C) When you push down on the earth with a force greater than your weight, the earth will push back with the same magnitude force and thus propel you into the air. D) It is the upward force exerted by the ground that pushes you up, but this force can never exceed your weight

C) When you push down on the earth with a force greater than your weight, the earth will push back with the same magnitude force and thus propel you into the air.

The Bernoulli effect is responsible for the lift force on an airplane wing. Wings must therefore be designed so as to insure that A) air molecules will be deflected upward when they hit the wing. B) air molecules move more rapidly past the upper surface of the wing than past the lower surface. C) air molecules move more rapidly past the lower surface of the wing than past the upper surface. D) wings are thick enough to create a significant pressure difference between the top and bottom surfaces of the wings because of the different heights of these surfaces. E) air molecules will be deflected downward when they hit the wing.

C) air molecules move more rapidly past the lower surface of the wing than past the upper surface.

A small mass is placed on a record turntable that is rotating at 45 rpm. The linear acceleration of the mass is A) zero. B) directed perpendicular to the line joining the mass and the center of rotation. C) greater the farther the mass is from the center .D) independent (in magnitude) of the position of the mass on the turntable. E) greater the closer the mass is to the center.

C) greater the farther the mass is from the center.

In Figure 8.11, determine the character of the collision. The masses of the blocks, and the velocities before and after are given. The collision is: A) completely inelastic. B) perfectly elastic. C) partially inelastic. D) characterized by an increase in kinetic energy. E) not possible because momentum is not conserved

C) partially inelastic.

Two objects, one of mass m and the other of mass 2 m, are dropped from the top of a building. When they hit the ground: A) the heavier one will have half the kinetic energy of the lighter one. B) the heavier one will have four times the kinetic energy of the lighter one. C) the heavier one will have twice the kinetic energy of the lighter one. D) the heavier one will have one-fourth the kinetic energy of the lighter one. E) both will have the same kinetic energy.

C) the heavier one will have twice the kinetic energy of the lighter one.

A waitress fills your water glass with ice water (containing many ice cubes) such that the liquid water is perfectly level with the rim of the glass. As the ice melts, A) the liquid water level rises, causing water to run down the outside of the glass. B) the liquid-water level decreases. C) the liquid-water level remains flush with the rim of the glass.

C) the liquid-water level remains flush with the rim of the glass.

Joe and Bill are playing tug-o-war. Joe is pulling with a force of 200 N. Bill is simply hanging on, but skidding towards Joe at a constant velocity. What is the force of friction between Bill's feet and the ground? A) 400 N B) Less than 200 N C) Greater than 200 N, but less than 400 N D) 200 N

D) 200 N

If the frequency of a harmonic oscillator doubles, by what factor does the maximum value of acceleration change? A) 2 B) 2/π C) square root 2 D) 4

D) 4

Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is 4.7 times that of particle B. Particle B takes 2.4 times as long for a rotation as particle A. The ratio of the radius of the motion of particle A to that of particle B is closest to: A) 0.51 B) 3.8 C) 11 D) 0.82 E) 2.0

D) 0.82

A man pushes against a rigid, immovable wall. Which of the following is the most accurate statement concerning this situation? A) The man cannot be in equilibrium since he is exerting a net force on the wall. B) The friction force on the man's feet is directed to the left. C) The man can never exert a force on the wall which exceeds his weight. D) If the man pushes on the wall with a force of 200 N, we can be sure that the wall is pushing back with a force of exactly 200 N on him. E) Since the wall cannot move, it cannot exert any force on the man

D) If the man pushes on the wall with a force of 200 N, we can be sure that the wall is pushing back with a force of exactly 200 N on him.

Two cyclists who weigh the same and have identical bicycles ride up the same mountain, both starting at the same time. Joe rides straight up the mountain, and Bob rides up the longer road that has a lower grade. Joe gets to the top before Bob. Which statement is true? A) Ignoring friction and wind resistance, the amount of work done by Joe is greater than the amount of work done by Bob, and the average power exerted by Joe is greater than that of Bob. B) Ignoring friction and wind resistance, Bob and Joe exerted the same amount of work, and the average power of each cyclist was also the same. C) Ignoring friction and wind resistance, the average power exerted by Bob and Joe was the same, but Joe exerted more work in getting there. D) Ignoring friction and wind resistance, the amount of work done by Joe is equal to the amount of work done by Bob, but the average power exerted by Joe is greater than that of Bob.

D) Ignoring friction and wind resistance, the amount of work done by Joe is equal to the amount of work done by Bob, but the average power exerted by Joe is greater than that of Bob.

A satellite of mass M takes time T to orbit a planet. If the satellite had twice as much mass, the time for it to orbit the planet would be A) 2T B) T/4 C) 4T D) T E) T/2

D) T

A simple pendulum has a period T on the earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on earth, its period would be A) T/3 B) T C) 3T D) T/ square root (3) E) square root (3T)

D) T/ square root (3)

A spherical ball of lead (density 11.3 g/cm3) is placed in a tub of mercury (density 13.6 g/cm3). Which answer best describes the result? A) The lead will sink to the bottom of the mercury. B) The lead ball will float with its top exactly even with the surface of the mercury. C) The lead ball will float with about 83% of its volume above the surface of the mercury. D) The lead ball will float with about 17% of its volume above the surface of the mercury. E) none of the above

D) The lead ball will float with about 17% of its volume above the surface of the mercury.

Two bullets are fired simultaneously parallel to a horizontal plane. The bullets have different masses and different initial velocities. Which one will strike the plane first? A) The slowest one. B) The fastest one. C) The lightest one. D) They strike the plane at the same time. E) The heaviest one.

D) They strike the plane at the same time.

A satellite having orbital speed V orbits a planet of mass M. If the planet had half as much mass, the orbital speed of the satellite would be A) V B) V/2 C) V Square root (2) D) V/ Square root (2 ) E) 2V

D) V/ Square root (2 )

The tires of a car support the weight of a stationary car. If one tire has a slow leak, the air pressure within the tire will _______ with time, the surface area between the tire and the road will ________ in time, and the net force the tire exerts on the road will ___________ in time. A) decrease, increase, decrease B) decrease, increase, increase C) decrease, decrease, decrease D) decrease, increase, remain constant E) increase, increase, increase

D) decrease, increase, remain constant

An object is dropped from rest into a pit, and accelerates due to gravity at roughly 10 m/s2. It hits the ground in 5 seconds. A rock is then dropped from rest into a second pit, and hits the ground in 10 seconds. How much deeper is the second pit, compared to the first pit? Neglect air resistance. A) five times deeper B) two times deeper C) three times deeper D) four times deeper

D) four times deeper

A stone is thrown vertically upwards, reaches a highest point, and returns to the ground. When the stone is at the top of its path, its acceleration A) is directed upwards. B) changes direction from upwards to downwards. C) is zero. D) is directed downwards.

D) is directed downwards.

If the total energy of a harmonic oscillator is reduced by 1/3, what is the change in the amplitude of the oscillations? A) 3 B) 3 C) 1/3 D) square root (1/3)

D) square root (1/3)

For an object undergoing simple harmonic motion, A) the displacement is greatest when the speed is greatest. B) the acceleration is greatest when the speed is greatest. C) the maximum potential energy is larger than the maximum kinetic energy. D) the acceleration is greatest when the displacement is greatest. E) the total energy oscillates at frequency f = 1 2π k m

D) the acceleration is greatest when the displacement is greatest.

The Bernoulli effect is described by the equation P1 + 1/2ρv2 1 + ρgh1 = P2 + 1/2ρ v 2 2 + ρgh2 The origin of this relation is that it is a statement of A) Newton's Third Law, i.e. equal action and reaction. B) the conservation of linear momentum. C) the continuity principle for fluids. D) the conservation of energy for a moving fluid. E) F = ma as applied to a fluid.

D) the conservation of energy for a moving fluid.

If you were to move into outer space far from any stars or planets, A) your mass would change, but your weight would not change. B) both your weight and mass would change. C) neither your weight nor your mass would change. D) your weight would change, but your mass would not change. E) None of these is true.

D) your weight would change, but your mass would not change.

In Figure 4.1, a 10-lb weight is suspended from two spring scales, each of which has negligible weight. Thus A) The top scale will read zero, the lower scale will read 10 lb. B) The lower scale will read zero, the top scale will read 10 lb. C) Each scale will read 5 lb. D) Each scale will show a reading between one and 10 lb, such that the sum of the two is 10 lb. However, exact readings cannot be determined without more information. E) None of these is true

E) None of these is true

In Figure 13.2, fluid fills the container shown here. At which of the indicated points is the pressure greatest? A) C B) A C) B D) D E) The pressure is the same at each of the labeled points

E) The pressure is the same at each of the labeled points

A girl throws a stone from a bridge. Consider the following ways she might throw the stone. The speed of the stone as it leaves her hand is the same in each case. Case A: Thrown straight up. Case B: Thrown straight down. Case C: Thrown out at an angle of 45° above horizontal. Case D: Thrown straight out horizontally. In which case will the speed of the stone be greatest when it hits the water below? A) Case A B) Case B C) Case C D) Case D E) The speed will be the same in all cases.

E) The speed will be the same in all cases.

If both the mass of a simple pendulum and its length are doubled, the period will A) increase by a factor of 2. B) be unchanged. C) increase by a factor of 0.71. D) increase by a factor of 4. E) increase by a factor of 1.4

E) increase by a factor of 1.4

A barge loaded with lumber and iron ore floats in a lock by a dam (a closed pool of water like a big swimming pool). If some of the cargo is thrown overboard, the level of water in the lock will A) rise. B) drop. C) rise, provided it is iron ore that is thrown overboard. D) rise, provided it is lumber that is thrown overboard. E) stay the same.

E) stay the same.

A child standing on a bridge throws a rock straight down. The rock leaves the child's hand at t = 0. Which of the graphs shown here best represents the velocity of the stone as a function of time?

little straight leg under axis


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