Practice Tests for AP Physics 1 - 1

Question 1

A velocity-time graph for a moving object shows a straight line starting at v = +8 m/s at t = 0 s and decreasing to v = −4 m/s at t = 6 s. What is the acceleration of the object?

Accepted Answer

&minus;2 m/s² (2 m/s² in the negative direction)

Answer

&minus;0.67 m/s²

Answer

2 m/s² in the positive direction

Answer

4 m/s² in the positive direction

Question 2

A runner travels 400 m around a circular track and returns exactly to the starting point. Which of the following correctly describes the runner's distance traveled and displacement?

Accepted Answer

Distance = 400 m; displacement = 0 m

Answer

Distance = 0 m; displacement = 400 m

Answer

Distance = 400 m; displacement = 400 m

Answer

Distance = 0 m; displacement = 0 m

Question 3

A ball is launched horizontally from a cliff at a speed of 15 m/s. Air resistance is neglected. Which of the following correctly describes the ball's motion immediately after launch?

Accepted Answer

The horizontal velocity remains 15 m/s while the vertical velocity increases due to gravitational acceleration.

Answer

The horizontal velocity increases as the ball falls due to a net forward force.

Answer

The vertical velocity remains constant while the horizontal velocity increases.

Answer

Both horizontal and vertical velocities increase at the same rate due to gravity.

Question 4

A car starts from rest and accelerates uniformly at 4 m/s² for 5 s. It then travels at constant velocity for an additional 3 s. What is the total distance traveled by the car?

Accepted Answer

110 m

Answer

50 m

Answer

80 m

Answer

60 m

Question 5

A student releases a cart from rest at the top of a ramp and measures its speed at the bottom for five different release heights. The mass of the cart is kept constant throughout the experiment. The student wants to determine the relationship between release height and the speed at the bottom of the ramp.
Which of the following correctly identifies the independent variable (IV) and dependent variable (DV) in this experiment?

Which of the following correctly identifies the independent variable (IV) and dependent variable (DV) in this experiment?

Accepted Answer

IV: release height; DV: speed at the bottom of the ramp

Answer

IV: speed at the bottom of the ramp; DV: release height

Answer

IV: mass of the cart; DV: speed at the bottom of the ramp

Answer

IV: length of the ramp; DV: release height

Question 6

A 5 kg box is pushed horizontally across a frictionless floor with a constant horizontal force of 20 N over a displacement of 4 m in the direction of the force. What is the net work done on the box?

Accepted Answer

80 J

Answer

20 J

Answer

40 J

Answer

100 J

Question 7

Two students, A and B, each lift identical boxes weighing 200 N to a shelf 2 m high. Student A completes the task in 4 s and Student B completes it in 8 s. Which of the following correctly compares the work done and power output of the two students?

Accepted Answer

Both students do the same work, but Student A delivers more power.

Answer

Student A does more work and delivers more power than Student B.

Answer

Both students do the same work and deliver the same power.

Answer

Student B does more work because it takes longer to lift the box.

Question 8

A 2 kg block is released from rest and slides down a ramp of height 5 m. At the bottom of the ramp, the block's speed is measured to be 8 m/s. How much mechanical energy was lost to friction during the slide? (g = 9.8 m/s²)

Accepted Answer

34 J

Answer

64 J

Answer

98 J

Answer

14 J

Question 9

A horizontal spring-mass system is analyzed using an energy bar chart (LOL diagram) at three points: before compression (block moving, spring at natural length), at maximum compression (block momentarily at rest), and after release (block moving, spring at natural length again).
Which of the following correctly identifies the energy forms present at the point of maximum compression?

Which of the following correctly identifies the energy forms present at the point of maximum compression?

Accepted Answer

Only elastic potential energy

Answer

Only kinetic energy

Answer

Both kinetic energy and elastic potential energy in equal amounts

Answer

Only gravitational potential energy

Question 10

A student claims: “A force applied perpendicular to the direction of motion of an object always does positive work on the object.”

Which of the following best evaluates this claim?

Accepted Answer

The claim is incorrect because work depends on the cosine of the angle between force and displacement; a perpendicular force does zero work.

Answer

The claim is correct because a perpendicular force still has a component along the displacement.

Answer

The claim is correct because any applied force transfers energy to the object.

Answer

The claim is incorrect because perpendicular forces always do negative work on an object.

Question 11

A 0.4 kg ball moving at 10 m/s to the right strikes a wall and rebounds at 10 m/s to the left. The collision lasts 0.05 s. Taking rightward as the positive direction, which of the following correctly states the impulse experienced by the ball?

Accepted Answer

8 N&middot;s to the left

Answer

0 N&middot;s, because the speed of the ball did not change

Answer

4 N&middot;s to the right

Answer

8 N&middot;s to the right

Question 12

A student designs an experiment to test conservation of momentum using two carts on a frictionless track. Cart A (mass 1 kg) moves toward stationary Cart B (mass 1 kg). After the collision, the student records the velocities of both carts using motion sensors.
Which of the following would be the best evidence that linear momentum was conserved during the collision?

Which of the following would be the best evidence that linear momentum was conserved during the collision?

Accepted Answer

The total momentum of the two-cart system before the collision equals the total momentum after the collision.

Answer

The kinetic energy before the collision equals the kinetic energy after the collision.

Answer

The velocity of Cart A before the collision equals the velocity of Cart B after the collision.

Answer

The force exerted by Cart A on Cart B equals the mass of Cart B multiplied by its final velocity.

Question 13

A 3 kg cart moving at 6 m/s to the right collides with and sticks to a 2 kg cart that is stationary. What is the speed of the combined carts immediately after the collision?

Accepted Answer

3.6 m/s

Answer

6 m/s

Answer

2 m/s

Answer

5 m/s

Question 14

A force-time graph for an object shows a rectangular pulse: a constant force of 30 N is applied for 0.4 s, and the force is zero at all other times. What is the impulse delivered to the object during this interval?

Accepted Answer

12 N&middot;s

Answer

75 N&middot;s

Answer

30 N&middot;s

Answer

0.4 N&middot;s

Question 15

Two ice skaters stand at rest on a frictionless surface facing each other. They push off each other simultaneously. Skater A has a mass of 50 kg and moves to the right at 3 m/s after the push. What is the total momentum of the two-skater system immediately after the push?

Accepted Answer

0 kg&middot;m/s

Answer

150 kg&middot;m/s to the right

Answer

150 kg&middot;m/s to the left

Answer

300 kg&middot;m/s to the right

Question 16

A mechanic applies a 10 N force to the end of a 0.5 m wrench at an angle of 30° measured from the handle of the wrench. What is the magnitude of the torque produced about the pivot bolt?

Accepted Answer

2.5 N&middot;m

Answer

5.0 N&middot;m

Answer

4.33 N&middot;m

Answer

0.5 N&middot;m

Question 17

A uniform horizontal beam of length 4 m is pivoted at its center. A force of 20 N is applied straight downward at the right end of the beam. What downward force must be applied at the left end to maintain rotational equilibrium?

Accepted Answer

20 N

Answer

5 N

Answer

40 N

Answer

10 N

Question 18

A disk with a rotational inertia of I = 0.8 kg·m² experiences a net torque of 4 N·m. What is the angular acceleration of the disk?

Accepted Answer

5 rad/s<sup>2</sup>

Answer

0.2 rad/s²

Answer

3.2 rad/s²

Answer

20 rad/s<sup>2</sup>

Question 19

A student investigates how the distance of a weight from a pivot affects the torque required to balance a beam. The student fixes a known weight at a constant position on one side of the beam and varies the distance of an adjustable weight on the other side, recording the force needed to achieve rotational balance each time.
Which of the following is the independent variable in this investigation?

Which of the following is the independent variable in this investigation?

Accepted Answer

The distance of the adjustable weight from the pivot

Answer

The mass of the fixed weight on the beam

Answer

The net torque acting on the beam

Answer

The mass of the beam itself

Question 20

A student plots torque (τ) on the vertical axis versus sinθ on the horizontal axis for a fixed force applied at different angles to a wrench of fixed length. The graph shows a straight line passing through the origin.
What physical quantity does the slope of this graph represent?

What physical quantity does the slope of this graph represent?

Accepted Answer

The product of the moment arm length and the applied force magnitude

Answer

The angular acceleration of the wrench

Answer

The angular momentum of the wrench-bolt system

Answer

The rotational inertia of the wrench

Question 21

A figure skater is spinning freely with angular velocity ω and rotational inertia I₁. The skater then pulls her arms inward, decreasing her rotational inertia to I₂, where I₂ < I₁. No external torque acts on the skater.
Which of the following correctly describes the effect on the skater's angular velocity?

Which of the following correctly describes the effect on the skater's angular velocity?

Accepted Answer

Her angular velocity increases because rotational inertia and angular velocity are inversely proportional when angular momentum is conserved.

Answer

Her angular velocity decreases because her rotational inertia decreased.

Answer

Her angular velocity remains constant because angular momentum is always conserved regardless of body position.

Answer

Her angular velocity increases because pulling her arms inward generates a net torque on her body.

Question 22

A solid sphere of mass 2 kg and radius 0.1 m rolls without slipping along a flat surface at a linear speed of 4 m/s. The rotational inertia of a solid sphere about its center is I = (2/5)mr². What is the rotational kinetic energy of the sphere?

Accepted Answer

6.4 J

Answer

16.0 J

Answer

12.8 J

Answer

3.2 J

Question 23

A planet orbits a star in an elliptical orbit with no external torques acting on the planet-star system. At which point in the orbit does the planet have the greatest angular momentum?

Accepted Answer

At all points equally, because angular momentum is conserved when no external torque acts on the system

Answer

At the point closest to the star, because the planet moves fastest there

Answer

At the point farthest from the star, because the moment arm is greatest there

Answer

At the midpoint of the orbit, because speed and orbital radius are at their average values

Question 24

A rotating object's angular momentum is plotted as a function of time. The resulting graph is a horizontal straight line (nonzero value, constant throughout).

Which of the following conclusions is best supported by this graph?

Accepted Answer

The net external torque acting on the object is zero.

Answer

The object has a constant angular velocity and zero rotational inertia.

Answer

The rotational kinetic energy of the object is increasing over time.

Answer

The angular acceleration of the object is numerically equal to its angular velocity.

Question 25

A student doubles the amplitude of oscillation of a mass-spring system while keeping the mass and spring constant unchanged. Which of the following correctly describes the effect on the period of oscillation?

Accepted Answer

The period remains unchanged because the period of a mass-spring system is independent of amplitude.

Answer

The period doubles because the mass must travel a greater distance during each oscillation.

Answer

The period increases by a factor of &radic;2 because the energy stored is proportional to amplitude squared.

Answer

The period decreases because the larger restoring force at greater amplitude produces a higher frequency.

Question 26

A mass of 0.5 kg is attached to a spring with spring constant k = 50 N/m on a frictionless horizontal surface. The mass is displaced from equilibrium and released. What is the period of oscillation of the system?

Accepted Answer

0.63 s

Answer

1.0 s

Answer

0.1 s

Answer

2.0 s

Question 27

A position-time graph for a mass undergoing simple harmonic motion (SHM) displays a cosine curve with a well-defined amplitude. At which positions on the graph is the magnitude of the object's acceleration the greatest?

Accepted Answer

At the peaks and troughs of the graph (positions of maximum displacement)

Answer

At the points where the graph crosses the time axis (equilibrium position)

Answer

At the midpoint between the equilibrium position and maximum displacement

Answer

Acceleration is constant throughout simple harmonic motion and does not vary with position

Question 28

A pendulum bob is released from rest at some height above its equilibrium position. At the equilibrium (lowest) point of the swing, the bob has a speed of 2.0 m/s. What was the height above the equilibrium position from which the bob was released? (g = 9.8 m/s²)

Accepted Answer

0.20 m

Answer

0.10 m

Answer

0.40 m

Answer

1.0 m

Question 29

A student investigates the period of a pendulum by varying the length of the string and measuring the time for 10 complete oscillations for each length. The mass of the pendulum bob and the initial release angle are kept constant throughout the experiment.
Which of the following is a control variable in this experiment?

Which of the following is a control variable in this experiment?

Accepted Answer

The mass of the pendulum bob

Answer

The length of the pendulum string

Answer

The period of the pendulum

Answer

The number of oscillations timed for each trial

Question 30

A wooden block of mass 2 kg and volume 4 × 10⁻³ m³ floats motionlessly on the surface of water (ρ_water = 1000 kg/m³). What is the magnitude of the buoyant force acting on the block? (g = 9.8 m/s²)

Accepted Answer

19.6 N

Answer

39.2 N

Answer

9.8 N

Answer

4.0 N

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

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

A velocity-time graph for a moving object shows a straight line starting at v = +8 m/s at t = 0 s and decreasing to v = −4 m/s at t = 6 s. What is the acceleration of the object?

A runner travels 400 m around a circular track and returns exactly to the starting point. Which of the following correctly describes the runner's distance traveled and displacement?

A ball is launched horizontally from a cliff at a speed of 15 m/s. Air resistance is neglected. Which of the following correctly describes the ball's motion immediately after launch?

A car starts from rest and accelerates uniformly at 4 m/s² for 5 s. It then travels at constant velocity for an additional 3 s. What is the total distance traveled by the car?

A 5 kg box is pushed horizontally across a frictionless floor with a constant horizontal force of 20 N over a displacement of 4 m in the direction of the force. What is the net work done on the box?

Two students, A and B, each lift identical boxes weighing 200 N to a shelf 2 m high. Student A completes the task in 4 s and Student B completes it in 8 s. Which of the following correctly compares the work done and power output of the two students?

A 2 kg block is released from rest and slides down a ramp of height 5 m. At the bottom of the ramp, the block's speed is measured to be 8 m/s. How much mechanical energy was lost to friction during the slide? (g = 9.8 m/s²)

A student claims: “A force applied perpendicular to the direction of motion of an object always does positive work on the object.”
Which of the following best evaluates this claim?

A 0.4 kg ball moving at 10 m/s to the right strikes a wall and rebounds at 10 m/s to the left. The collision lasts 0.05 s. Taking rightward as the positive direction, which of the following correctly states the impulse experienced by the ball?

A 3 kg cart moving at 6 m/s to the right collides with and sticks to a 2 kg cart that is stationary. What is the speed of the combined carts immediately after the collision?

A force-time graph for an object shows a rectangular pulse: a constant force of 30 N is applied for 0.4 s, and the force is zero at all other times. What is the impulse delivered to the object during this interval?

Two ice skaters stand at rest on a frictionless surface facing each other. They push off each other simultaneously. Skater A has a mass of 50 kg and moves to the right at 3 m/s after the push. What is the total momentum of the two-skater system immediately after the push?

A mechanic applies a 10 N force to the end of a 0.5 m wrench at an angle of 30° measured from the handle of the wrench. What is the magnitude of the torque produced about the pivot bolt?

A uniform horizontal beam of length 4 m is pivoted at its center. A force of 20 N is applied straight downward at the right end of the beam. What downward force must be applied at the left end to maintain rotational equilibrium?

A disk with a rotational inertia of I = 0.8 kg·m² experiences a net torque of 4 N·m. What is the angular acceleration of the disk?

A student plots torque (τ) on the vertical axis versus sinθ on the horizontal axis for a fixed force applied at different angles to a wrench of fixed length. The graph shows a straight line passing through the origin.
What physical quantity does the slope of this graph represent?

A solid sphere of mass 2 kg and radius 0.1 m rolls without slipping along a flat surface at a linear speed of 4 m/s. The rotational inertia of a solid sphere about its center is I = (2/5)mr². What is the rotational kinetic energy of the sphere?

A planet orbits a star in an elliptical orbit with no external torques acting on the planet-star system. At which point in the orbit does the planet have the greatest angular momentum?

A rotating object's angular momentum is plotted as a function of time. The resulting graph is a horizontal straight line (nonzero value, constant throughout).
Which of the following conclusions is best supported by this graph?

A student doubles the amplitude of oscillation of a mass-spring system while keeping the mass and spring constant unchanged. Which of the following correctly describes the effect on the period of oscillation?

A mass of 0.5 kg is attached to a spring with spring constant k = 50 N/m on a frictionless horizontal surface. The mass is displaced from equilibrium and released. What is the period of oscillation of the system?

A position-time graph for a mass undergoing simple harmonic motion (SHM) displays a cosine curve with a well-defined amplitude. At which positions on the graph is the magnitude of the object's acceleration the greatest?

A pendulum bob is released from rest at some height above its equilibrium position. At the equilibrium (lowest) point of the swing, the bob has a speed of 2.0 m/s. What was the height above the equilibrium position from which the bob was released? (g = 9.8 m/s²)

A wooden block of mass 2 kg and volume 4 × 10⁻³ m³ floats motionlessly on the surface of water (ρ_water = 1000 kg/m³). What is the magnitude of the buoyant force acting on the block? (g = 9.8 m/s²)

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

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

A velocity-time graph for a moving object shows a straight line starting at v = +8 m/s at t = 0 s and decreasing to v = −4 m/s at t = 6 s. What is the acceleration of the object?

A runner travels 400 m around a circular track and returns exactly to the starting point. Which of the following correctly describes the runner's distance traveled and displacement?

A ball is launched horizontally from a cliff at a speed of 15 m/s. Air resistance is neglected. Which of the following correctly describes the ball's motion immediately after launch?

A car starts from rest and accelerates uniformly at 4 m/s2 for 5 s. It then travels at constant velocity for an additional 3 s. What is the total distance traveled by the car?

A 5 kg box is pushed horizontally across a frictionless floor with a constant horizontal force of 20 N over a displacement of 4 m in the direction of the force. What is the net work done on the box?

Two students, A and B, each lift identical boxes weighing 200 N to a shelf 2 m high. Student A completes the task in 4 s and Student B completes it in 8 s. Which of the following correctly compares the work done and power output of the two students?

A 2 kg block is released from rest and slides down a ramp of height 5 m. At the bottom of the ramp, the block's speed is measured to be 8 m/s. How much mechanical energy was lost to friction during the slide? (g = 9.8 m/s2)

A student claims: “A force applied perpendicular to the direction of motion of an object always does positive work on the object.”Which of the following best evaluates this claim?

A 0.4 kg ball moving at 10 m/s to the right strikes a wall and rebounds at 10 m/s to the left. The collision lasts 0.05 s. Taking rightward as the positive direction, which of the following correctly states the impulse experienced by the ball?

A 3 kg cart moving at 6 m/s to the right collides with and sticks to a 2 kg cart that is stationary. What is the speed of the combined carts immediately after the collision?

A force-time graph for an object shows a rectangular pulse: a constant force of 30 N is applied for 0.4 s, and the force is zero at all other times. What is the impulse delivered to the object during this interval?

Two ice skaters stand at rest on a frictionless surface facing each other. They push off each other simultaneously. Skater A has a mass of 50 kg and moves to the right at 3 m/s after the push. What is the total momentum of the two-skater system immediately after the push?

A mechanic applies a 10 N force to the end of a 0.5 m wrench at an angle of 30° measured from the handle of the wrench. What is the magnitude of the torque produced about the pivot bolt?

A uniform horizontal beam of length 4 m is pivoted at its center. A force of 20 N is applied straight downward at the right end of the beam. What downward force must be applied at the left end to maintain rotational equilibrium?

A disk with a rotational inertia of I = 0.8 kg·m2 experiences a net torque of 4 N·m. What is the angular acceleration of the disk?

A student plots torque (τ) on the vertical axis versus sinθ on the horizontal axis for a fixed force applied at different angles to a wrench of fixed length. The graph shows a straight line passing through the origin.What physical quantity does the slope of this graph represent?

A solid sphere of mass 2 kg and radius 0.1 m rolls without slipping along a flat surface at a linear speed of 4 m/s. The rotational inertia of a solid sphere about its center is I = (2/5)mr2. What is the rotational kinetic energy of the sphere?

A planet orbits a star in an elliptical orbit with no external torques acting on the planet-star system. At which point in the orbit does the planet have the greatest angular momentum?

A rotating object's angular momentum is plotted as a function of time. The resulting graph is a horizontal straight line (nonzero value, constant throughout).Which of the following conclusions is best supported by this graph?

A student doubles the amplitude of oscillation of a mass-spring system while keeping the mass and spring constant unchanged. Which of the following correctly describes the effect on the period of oscillation?

A mass of 0.5 kg is attached to a spring with spring constant k = 50 N/m on a frictionless horizontal surface. The mass is displaced from equilibrium and released. What is the period of oscillation of the system?

A position-time graph for a mass undergoing simple harmonic motion (SHM) displays a cosine curve with a well-defined amplitude. At which positions on the graph is the magnitude of the object's acceleration the greatest?

A pendulum bob is released from rest at some height above its equilibrium position. At the equilibrium (lowest) point of the swing, the bob has a speed of 2.0 m/s. What was the height above the equilibrium position from which the bob was released? (g = 9.8 m/s2)

A wooden block of mass 2 kg and volume 4 × 10−3 m3 floats motionlessly on the surface of water (ρwater = 1000 kg/m3). What is the magnitude of the buoyant force acting on the block? (g = 9.8 m/s2)

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A car starts from rest and accelerates uniformly at 4 m/s² for 5 s. It then travels at constant velocity for an additional 3 s. What is the total distance traveled by the car?

A 2 kg block is released from rest and slides down a ramp of height 5 m. At the bottom of the ramp, the block's speed is measured to be 8 m/s. How much mechanical energy was lost to friction during the slide? (g = 9.8 m/s²)

A student claims: “A force applied perpendicular to the direction of motion of an object always does positive work on the object.”
Which of the following best evaluates this claim?

A disk with a rotational inertia of I = 0.8 kg·m² experiences a net torque of 4 N·m. What is the angular acceleration of the disk?

A student plots torque (τ) on the vertical axis versus sinθ on the horizontal axis for a fixed force applied at different angles to a wrench of fixed length. The graph shows a straight line passing through the origin.
What physical quantity does the slope of this graph represent?

A solid sphere of mass 2 kg and radius 0.1 m rolls without slipping along a flat surface at a linear speed of 4 m/s. The rotational inertia of a solid sphere about its center is I = (2/5)mr². What is the rotational kinetic energy of the sphere?

A rotating object's angular momentum is plotted as a function of time. The resulting graph is a horizontal straight line (nonzero value, constant throughout).
Which of the following conclusions is best supported by this graph?

A pendulum bob is released from rest at some height above its equilibrium position. At the equilibrium (lowest) point of the swing, the bob has a speed of 2.0 m/s. What was the height above the equilibrium position from which the bob was released? (g = 9.8 m/s²)

A wooden block of mass 2 kg and volume 4 × 10⁻³ m³ floats motionlessly on the surface of water (ρ_water = 1000 kg/m³). What is the magnitude of the buoyant force acting on the block? (g = 9.8 m/s²)