Free Printable AP Physics C Progress Check

1.

Thin rods A, B, and C all have uniform mass distibution and are all of equal length L. The center of mass of the three-rod system is shown above. If both A and C have a mass M, the ratio of the mass of bar B to the mass of bar A, $\frac{m_B}{m_A}$ , is

a)

1/1

b)

2/1

c)

4/1

d)

6/1

e)

8/1

2.

A ball is traveling through the air as represented by the initial momentum vector shown above on the left. A racket then makes contact with the ball, as shown in the middle figure above. After the racket makes contact with the ball, the ball is traveling through the air as represented by the momentum vector shown above on the right. Which of the following vectors could represent the impulse the racket exerts on the ball?

a)

A vector that points in the rightward direction

b)

A vector that points up and to the right

c)

A vector that points straight up

d)

A vector that points straight down

e)

A vector that points straight to the left

3.

A stationary golf ball is hit by a club. While the club is in contact with the ball, the ball compresses, the club exerts maximum force when the ball is at maximum compression, and then the ball expands. The momentum of the golf ball after contact with the club is represented by the vector above. Which of the following groups of vectors could represent the force exerted on the ball at the three moments described?

a)

b)

c)

d)

e)

4.

Students perform an experiment with the goal of finding the relationship between the force applied to an object and the time required to stop the object. During the experiment, a student jumps and lands on a large sensor that measures the magnitude of the force exerted on the scale and the time it takes to bring the student to rest. During the first trial, the student jumps and lands on the sensor while keeping their legs perfect straight. Which of the following describes a proper change in procedure to correctly find the relationship between the force applied to an object and the time required to stop the object?

a)

Jump to the same height and land with knees bent. This will increase the time to bring the student to rest and decrease the magnitude of the force.

b)

Jump to the same height and land with knees bent. This will decrease the time to bring the student to rest and increase the magnitude of the force.

c)

Jump higher and land with knees bent. This will increase the time to bring the student to rest and decrease the magnitude of the force.

d)

Jump higher and land with knees bent. This will decrease the time to bring the student to rest and increase the magnitude of the force.

e)

Jump higher and land with legs straight. This will increase the time to bring the student to rest and decrease the magnitude of the force.

5.

An object of mass $M$ is at rest at the origin at time $t=0$ . At that time, a force $F=At^2$ (where $A$ is a positive constant and $F$ is in newtons when $t$ is in seconds) is applied to the object. After 2 s, the velocity of the object in m/s will be

a)

$\frac{2A}{M}$

b)

$\frac{3A}{M}$

c)

$\frac{4A}{M}$

d)

$\frac{8A}{M}$

e)

$\frac{8A}{3M}$

6.

A 2.0 kg ball is dropped from a height of 20 m onto a soft surface and rebounds to a height of 5.0 m. What is the magnitude of the impulse exerted on the ball by the floor?

a)

10 N·s

b)

20 N·s

c)

40 N·s

d)

60 N·s

e)

100 N·s

7.

Two blocks are sliding toward one another along a level horizontal surface. One block is moving due east, and the other block is moving due west. The two blocks collide. Which of the following is NOT a possible set of directions the two blocks could be traveling after the collision?

a)

Both blocks are traveling east after the collision.

b)

Both blocks are traveling west after the collision.

c)

One block travels northeast, and the other block travels northwest.

d)

One block travels southwest, and the other block travels northeast.

e)

One block travels southeast, and the other block travels northwest.

8.

In an experiment, a student places two carts on a level horizontal track with photogates X and Y that help the student determine the speeds of the carts, as shown above. The carts move toward each other with negligible friction. Cart A of mass $m_A$ is moving to the right with speed $v_A$ . Cart B of mass $m_B\left(m_B>2m_A\right)$ is moving to the left with speed $v_B\left(v_B>3v_A\right)$ . After passing through the photogates, the two carts collide. After the collision, cart A bounces back to the left at speed $v_{Af}\left(v_{Af}<v_B\right)$ . Which of the following gives the correct speed and direction of motion for cart after the collision?

a)

b)

c)

d)

e)

9.

In an experiment, a student places two carts on a level horizontal track with photogates X and Y that help the student determine the speeds of the carts, as shown above. The carts move toward each other with negligible friction. Cart A of mass $m_A$ is moving to the right with speed $v_A$ . Cart B of mass $m_B\left(m_B>2m_A\right)$ is moving to the left with speed $v_B\left(v_B>3v_A\right)$ . After passing through the photogates, the two carts collide. In a new experiment, a spring is attached to the right end of cart A. Cart B is at rest between the photogates when cart A is given an initial speed to the right, passes through photogate X, and collides with cart B. The speed of each cart before and after the collision is measured. It is discovered that the sum of the kinetic energies of the two carts after the collision is about 5% greater than the kinetic energy of cart A before the collision. Which of the following is the best explanation for the difference in the kinetic energy?

a)

The scale used to determine the masses of the carts is off by 5%.

b)

During the collision, some of the kinetic energy of the carts is converted to heat.

c)

Some of the elastic potential energy of the spring is converted to kinetic energy.

d)

There is a small amount of friction between the track and the carts.

e)

One end of the track is slightly higher than the other.

10.

In an experiment, a student places two carts on a level horizontal track with photogates X and Y that help the student determine the speeds of the carts, as shown above. The carts move toward each other with negligible friction. Cart A of mass $m_A$ is moving to the right with speed $v_A$ . Cart B of mass $m_B\left(m_B>2m_A\right)$ is moving to the left with speed $v_B\left(v_B>3v_A\right)$ . After passing through the photogates, the two carts collide. In addition to the initial speeds and masses of the carts, increasing the precision of which of the following measurements would decrease the error when determining if the collision between the two carts is elastic?

I: The length of each cart

II: The distance between the photogates

III: The time it takes each cart to reach a photogate after the collision

IV: The time it takes each cart to move through a photogate after the collision

a)

I and III only

b)

II and III only

c)

I and IV only

d)

II and IV only

e)

II, III and IV

11.

Block 1 is sliding toward identical block 2 on a surface of negligible friction. In situation 1, after the two blocks collide, the block 1 stops and block 2 moves off to the right. It situation 2, the two blocks collide and stick together. Which of the following claims correctly describes the motion of the center of mass of the two-block system and provides reasoning for that claim?

a)

In situation 1, the center of mass never changes its speed, because block 1 is moving before the collision, and block 2 is moving after the collision.

b)

In situation 1, the center of mass never changes its speed, because there are no net external forces on the system before, during, or after the collision.

c)

In situation 2, the center of mass slows down after the collision but continues to the right, because the blocks are always moving to the right.

d)

In situation 2, the center of mass slows down after the collision but continues to the right, because the direction of motion of the center of mass never changes direction in a collision.

e)

In situation 2, the center of mass has a zero velocity, because the velocity of the center of mass of the system is always zero.

12.

A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m₁ and m₂. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m₂is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?

a)

As the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

b)

It is possible that a small amount of the original block was lost during the explosion.

c)

When the student did the calculation, the student assumed that the explosion occurred just as the block reached the origin. The difference in velocity could be due to the explosion occurring either just before or just after the origin.

d)

The explosion created a force that affected the experiment.

e)

Conservation of momentum is not the correct equation to apply to the explosion, since the two pieces apply forces to each other.

AP Physics C Progress Check

Total questions: 12

Worksheet time: 24mins

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