Practice Tests for AP Physics 1 - 9

Question 1

A velocity-time graph for a moving object shows a horizontal line (constant positive velocity) from t = 0 to t = 4 s, followed by a straight line that decreases to zero at t = 8 s. What does the total area under the entire velocity-time graph represent?

Accepted Answer

Answer

The total displacement of the object

Answer

The total acceleration of the object

Answer

The average velocity of the object

Answer

The total distance regardless of direction

Question 2

Which of the following quantities is a scalar?

Accepted Answer

Answer

Displacement

Answer

Speed

Answer

Velocity

Answer

Acceleration

Question 3

A ball is launched horizontally from a cliff with an initial speed of 20 m/s. Air resistance is negligible. Which of the following correctly describes the ball's motion while it is in the air?

Accepted Answer

Answer

The horizontal and vertical components of the ball's motion are independent of each other

Answer

The horizontal velocity increases continuously due to the gravitational force

Answer

The vertical velocity remains constant throughout the flight

Answer

The magnitude of the acceleration decreases as the ball falls

Question 4

A student drops a ball from rest from a height of 20 m. Using g = 9.8 m/s², which of the following is closest to the speed of the ball just before it hits the ground?

Accepted Answer

Answer

14 m/s

Answer

20 m/s

Answer

28 m/s

Answer

196 m/s

Question 5

A position-time graph for an object shows a curved line whose slope continuously increases. Which of the following best describes the object's motion?

Accepted Answer

Answer

The object moves with constant velocity

Answer

The object moves with constant acceleration

Answer

The object moves with increasing speed

Answer

The object moves with decreasing acceleration

Question 6

A person carries a heavy box horizontally across a room at constant velocity. The person exerts an upward force on the box equal to the box's weight. Which of the following correctly states the work done by the person's upward force on the box?

Accepted Answer

Answer

Positive, because the applied force keeps the box from falling

Answer

Negative, because the box moves against the direction of gravity

Answer

Equal to the gravitational potential energy stored in the box

Answer

Zero, because the upward force is perpendicular to the horizontal displacement

Question 7

A roller coaster car starts from rest at the top of a frictionless track at height h. Which of the following expressions correctly gives the speed of the car at the point where the height is h/2?

Accepted Answer

Answer

v = &radic;(gh / 2)

Answer

v = &radic;(gh)

Answer

v = &radic;(2gh)

Answer

v = &radic;(4gh)

Question 8

A student sets up an experiment in which a cart on a frictionless track is launched by a compressed spring. The student varies the compression distance of the spring and measures the final speed of the cart using a photogate. Which of the following is the dependent variable in this experiment?

Accepted Answer

Answer

The mass of the cart

Answer

The spring constant of the spring

Answer

The final speed of the cart

Answer

The compression distance of the spring

Question 9

A 2 kg block slides from rest down a ramp of height 5 m. At the bottom of the ramp, the block has a speed of 8 m/s. How much energy was lost to friction during the descent? (g = 9.8 m/s²)

Accepted Answer

Answer

34 J

Answer

64 J

Answer

98 J

Answer

162 J

Question 10

A machine does 500 J of work in 10 s. What is the average power output of the machine?

Accepted Answer

Answer

50 W

Answer

5 W

Answer

500 W

Answer

5000 W

Question 11

A 0.5 kg ball moving at 6 m/s to the right strikes a wall and rebounds at 6 m/s to the left. The collision lasts 0.02 s. Which of the following correctly states the magnitude of the impulse experienced by the ball?

Accepted Answer

Answer

0 N·s, because the speed of the ball did not change

Answer

6 N·s, because impulse equals the change in momentum

Answer

3 N·s, because impulse equals mass times speed

Answer

0.12 N·s, because impulse equals force multiplied by time with force equal to 6 N

Question 12

Two ice skaters stand at rest on a frictionless surface and push off each other. Skater A has a mass of 50 kg and moves to the right at 3 m/s after the push. Skater B has a mass of 75 kg. What is Skater B's velocity immediately after the push?

Accepted Answer

Answer

2 m/s to the right

Answer

2 m/s to the left

Answer

3 m/s to the left

Answer

4.5 m/s to the left

Question 13

Two carts on a frictionless track collide and stick together (perfectly inelastic collision). Cart A has a mass of 3 kg and moves at 4 m/s to the right. Cart B has a mass of 1 kg and is initially at rest. Which of the following correctly describes the conservation laws that apply to this collision?

Accepted Answer

Answer

Both momentum and kinetic energy are conserved

Answer

Momentum is conserved; kinetic energy is not conserved

Answer

Kinetic energy is conserved; momentum is not conserved

Answer

Neither momentum nor kinetic energy is conserved

Question 14

A force-time graph shows a rectangular pulse: a constant force of 10 N is applied for 3 s, then drops to zero. What physical quantity does the area under this force-time graph represent?

Accepted Answer

Answer

The work done on the object

Answer

The momentum of the object

Answer

The impulse delivered to the object

Answer

The average acceleration of the object

Question 15

A force of 20 N is applied perpendicular to a wrench handle at a distance of 0.3 m from the pivot point. What is the magnitude of the torque produced?

Accepted Answer

Answer

6 N&middot;m

Answer

0.015 N&middot;m

Answer

60 N&middot;m

Answer

66.7 N&middot;m

Question 16

A disk rotates with angular velocity ω. A point on the rim of the disk is at radius r from the center. Which of the following correctly expresses the linear (tangential) speed of that point?

Accepted Answer

Answer

v = r&alpha;

Answer

v = &omega; / r

Answer

v = r&omega;

Answer

v = r&sup2;&omega;

Question 17

A uniform meter stick is balanced on a pivot at its center (50 cm mark). A 100 g mass is hung at the 20 cm mark. At which position on the meter stick must a 200 g mass be placed so that the stick remains in rotational equilibrium?

Accepted Answer

Answer

35 cm mark

Answer

65 cm mark

Answer

70 cm mark

Answer

80 cm mark

Question 18

A net torque of 12 N·m acts on a disk that has a rotational inertia of 4 kg·m². What is the angular acceleration of the disk?

Accepted Answer

Answer

0.33 rad/s&sup2;

Answer

8 rad/s&sup2;

Answer

48 rad/s&sup2;

Answer

3 rad/s&sup2;

Question 19

A solid disk with rotational inertia I = 2 kg·m² rotates at an angular velocity of ω = 4 rad/s. What is the rotational kinetic energy of the disk?

Accepted Answer

Answer

8 J

Answer

32 J

Answer

64 J

Answer

16 J

Question 20

A figure skater spinning on a frictionless surface pulls her arms inward, reducing her rotational inertia from 4 kg·m² to 1 kg·m². If her initial angular velocity was 2 rad/s, what is her angular velocity after pulling her arms in?

Accepted Answer

Answer

0.5 rad/s

Answer

2 rad/s

Answer

8 rad/s

Answer

4 rad/s

Question 21

A solid sphere rolls without slipping down a ramp. Which of the following correctly describes the sphere's total kinetic energy at the bottom of the ramp?

Accepted Answer

Answer

KE_total = ½mv² only, because rotational energy is negligible for a sphere

Answer

KE_total = ½Iω² only, because rolling motion is purely rotational

Answer

KE_total = ½mv² + ½Iω², with both translational and rotational contributions

Answer

KE_total = mv², because the sphere moves as a single rigid body

Question 22

A student stands on a rotating platform holding masses close to his chest. The masses are then moved outward to arm's length. No external torques act on the system. Which of the following best describes what happens to the platform's angular velocity?

Accepted Answer

Answer

Angular velocity increases because the radius of the masses increases

Answer

Angular velocity decreases because the rotational inertia of the system increases

Answer

Angular velocity remains constant because no external torque acts on the system

Answer

Angular velocity increases because gravitational potential energy converts to rotational kinetic energy

Question 23

A student doubles the amplitude of oscillation of a mass-spring system that is undergoing simple harmonic motion. Which of the following correctly describes the effect on the period of oscillation?

Accepted Answer

Answer

The period remains unchanged because it does not depend on amplitude

Answer

The period doubles because the mass travels twice the distance

Answer

The period increases by a factor of &radic;2 because energy is proportional to A&sup2;

Answer

The period decreases because the restoring force at the amplitude is greater

Question 24

A mass of 0.4 kg is attached to a spring with a spring constant of 40 N/m and set into oscillation on a frictionless surface. What is the period of oscillation?

Accepted Answer

Answer

0.10 s

Answer

0.31 s

Answer

1.26 s

Answer

0.63 s

Question 25

A mass oscillates on a spring with amplitude A. Which of the following correctly describes the energy of the mass-spring system at the equilibrium position?

Accepted Answer

Answer

All energy is elastic potential energy; kinetic energy is zero

Answer

All energy is kinetic energy; elastic potential energy is zero

Answer

Energy is equally divided between kinetic energy and potential energy

Answer

Total mechanical energy is zero because the object passes through the equilibrium position

Question 26

A position-time graph for an object in simple harmonic motion shows a sinusoidal curve. At which instant is the magnitude of the acceleration of the object the greatest?

Accepted Answer

Answer

When the object is passing through the equilibrium position

Answer

When the velocity of the object is at its maximum value

Answer

When the displacement of the object is at its maximum value (amplitude)

Answer

When the kinetic energy of the object is at its maximum value

Question 27

A student investigates how the length of a pendulum affects its period. The student varies the length of the string while keeping the mass of the bob and the amplitude of the swing constant. Which of the following correctly identifies the independent variable and dependent variable?

Accepted Answer

Answer

IV: mass of the bob; DV: period of the pendulum

Answer

IV: amplitude of the swing; DV: period of the pendulum

Answer

IV: period of the pendulum; DV: length of the string

Answer

IV: length of the string; DV: period of the pendulum

Question 28

A rectangular tank is filled with water to a depth of 3 m. What is the gauge pressure at the bottom of the tank? (ρ_water = 1000 kg/m³, g = 9.8 m/s²)

Accepted Answer

Answer

29,400 Pa

Answer

3,000 Pa

Answer

9,800 Pa

Answer

98,000 Pa

Question 29

Container X is wide and Container Y is narrow. Both containers are filled with water to the same depth of 0.5 m. Which of the following correctly compares the pressure at the bottom of each container?

Accepted Answer

Answer

The pressure at the bottom of Container X is greater because it holds more water

Answer

The pressure at the bottom of Container Y is greater because the water column is more concentrated

Answer

The pressure at the bottom of both containers is equal

Answer

The pressure at the bottom of Container X is greater because the total force exerted by the water is greater

Question 30

A wooden block has a volume of 0.002 m³ and a density of 600 kg/m³. The block is placed in water (ρ_water = 1000 kg/m³). What fraction of the block's volume is submerged when the block floats at equilibrium?

Accepted Answer

Answer

40%

Answer

80%

Answer

100%

Answer

60%

Practice Tests for AP Physics 1 - 9 Grade 11 MCQs & solutions - Free

MCQ Practice Test & Solutions: Practice Tests for AP Physics 1 - 9 (40 Questions)

A velocity-time graph for a moving object shows a horizontal line (constant positive velocity) from t = 0 to t = 4 s, followed by a straight line that decreases to zero at t = 8 s. What does the total area under the entire velocity-time graph represent?

Which of the following quantities is a scalar?

A ball is launched horizontally from a cliff with an initial speed of 20 m/s. Air resistance is negligible. Which of the following correctly describes the ball's motion while it is in the air?

A student drops a ball from rest from a height of 20 m. Using g = 9.8 m/s², which of the following is closest to the speed of the ball just before it hits the ground?

A position-time graph for an object shows a curved line whose slope continuously increases. Which of the following best describes the object's motion?

A person carries a heavy box horizontally across a room at constant velocity. The person exerts an upward force on the box equal to the box's weight. Which of the following correctly states the work done by the person's upward force on the box?

A roller coaster car starts from rest at the top of a frictionless track at height h. Which of the following expressions correctly gives the speed of the car at the point where the height is h/2?

A student sets up an experiment in which a cart on a frictionless track is launched by a compressed spring. The student varies the compression distance of the spring and measures the final speed of the cart using a photogate. Which of the following is the dependent variable in this experiment?

A 2 kg block slides from rest down a ramp of height 5 m. At the bottom of the ramp, the block has a speed of 8 m/s. How much energy was lost to friction during the descent? (g = 9.8 m/s²)

A machine does 500 J of work in 10 s. What is the average power output of the machine?

A 0.5 kg ball moving at 6 m/s to the right strikes a wall and rebounds at 6 m/s to the left. The collision lasts 0.02 s. Which of the following correctly states the magnitude of the impulse experienced by the ball?

Two ice skaters stand at rest on a frictionless surface and push off each other. Skater A has a mass of 50 kg and moves to the right at 3 m/s after the push. Skater B has a mass of 75 kg. What is Skater B's velocity immediately after the push?

Two carts on a frictionless track collide and stick together (perfectly inelastic collision). Cart A has a mass of 3 kg and moves at 4 m/s to the right. Cart B has a mass of 1 kg and is initially at rest. Which of the following correctly describes the conservation laws that apply to this collision?

A force-time graph shows a rectangular pulse: a constant force of 10 N is applied for 3 s, then drops to zero. What physical quantity does the area under this force-time graph represent?

A force of 20 N is applied perpendicular to a wrench handle at a distance of 0.3 m from the pivot point. What is the magnitude of the torque produced?

A disk rotates with angular velocity ω. A point on the rim of the disk is at radius r from the center. Which of the following correctly expresses the linear (tangential) speed of that point?

A uniform meter stick is balanced on a pivot at its center (50 cm mark). A 100 g mass is hung at the 20 cm mark. At which position on the meter stick must a 200 g mass be placed so that the stick remains in rotational equilibrium?

A net torque of 12 N·m acts on a disk that has a rotational inertia of 4 kg·m². What is the angular acceleration of the disk?

A solid disk with rotational inertia I = 2 kg·m² rotates at an angular velocity of ω = 4 rad/s. What is the rotational kinetic energy of the disk?

A figure skater spinning on a frictionless surface pulls her arms inward, reducing her rotational inertia from 4 kg·m² to 1 kg·m². If her initial angular velocity was 2 rad/s, what is her angular velocity after pulling her arms in?

A solid sphere rolls without slipping down a ramp. Which of the following correctly describes the sphere's total kinetic energy at the bottom of the ramp?

A student stands on a rotating platform holding masses close to his chest. The masses are then moved outward to arm's length. No external torques act on the system. Which of the following best describes what happens to the platform's angular velocity?

A student doubles the amplitude of oscillation of a mass-spring system that is undergoing simple harmonic motion. Which of the following correctly describes the effect on the period of oscillation?

A mass of 0.4 kg is attached to a spring with a spring constant of 40 N/m and set into oscillation on a frictionless surface. What is the period of oscillation?

A mass oscillates on a spring with amplitude A. Which of the following correctly describes the energy of the mass-spring system at the equilibrium position?

A position-time graph for an object in simple harmonic motion shows a sinusoidal curve. At which instant is the magnitude of the acceleration of the object the greatest?

A student investigates how the length of a pendulum affects its period. The student varies the length of the string while keeping the mass of the bob and the amplitude of the swing constant. Which of the following correctly identifies the independent variable and dependent variable?

A rectangular tank is filled with water to a depth of 3 m. What is the gauge pressure at the bottom of the tank? (ρwater = 1000 kg/m³, g = 9.8 m/s²)

Container X is wide and Container Y is narrow. Both containers are filled with water to the same depth of 0.5 m. Which of the following correctly compares the pressure at the bottom of each container?

A wooden block has a volume of 0.002 m³ and a density of 600 kg/m³. The block is placed in water (ρwater = 1000 kg/m³). What fraction of the block's volume is submerged when the block floats at equilibrium?

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A rectangular tank is filled with water to a depth of 3 m. What is the gauge pressure at the bottom of the tank? (ρ_water = 1000 kg/m³, g = 9.8 m/s²)

A wooden block has a volume of 0.002 m³ and a density of 600 kg/m³. The block is placed in water (ρ_water = 1000 kg/m³). What fraction of the block's volume is submerged when the block floats at equilibrium?