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AP Physics 1: Algebra-Based Practice Quiz: Work

Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026

Test your understanding with short quizzes. This quiz has 15 questions to check your progress.

Question 1 of 15

According to the provided principles, what does work fundamentally represent?

All Questions (15)

According to the provided principles, what does work fundamentally represent?

A) The total force applied to an object.

B) The transfer of energy into or out of a system.

C) The change in an object's velocity.

D) The potential energy stored in a system.

Correct Answer: B

Content point 2 states, "Work is the amount of energy transferred into or out of a system by a force exerted on that system over a distance."

Which of the following best describes the physical nature of work?

A) A vector quantity that is always positive.

B) A vector quantity that can be positive or negative.

C) A scalar quantity that is always positive.

D) A scalar quantity that can be positive, negative, or zero.

Correct Answer: D

Content point 5 explicitly states, "Work is a scalar quantity that may be positive, negative, or zero."

The work-energy theorem establishes a direct relationship between the net work done on an object and which of the following quantities?

A) The object's change in potential energy.

B) The object's final velocity.

C) The object's change in kinetic energy.

D) The total distance the object traveled.

Correct Answer: C

Content point 7 states, "The work-energy theorem states that the change in an object's kinetic energy is equal to the sum of the work (net work) being done by all forces exerted on the object."

A conservative force moves an object from point A to point B. If the object is then moved from point A to point B along a different, longer path, how does the work done by the conservative force for the second path compare to the first?

A) It is greater because the distance is longer.

B) It is less because the force is spread over a greater distance.

C) It is exactly the same.

D) It depends on the shape of the path.

Correct Answer: C

Content point 3 states that the work done by a conservative force is "path-independent and only depends on the initial and final configurations of that system." Since the initial and final points (A and B) are the same, the work done is the same regardless of the path taken.

The concept of potential energy can be defined and associated with which specific type of force?

A) Any force that causes a displacement.

B) Only non-conservative forces, like friction.

C) Only conservative forces.

D) The net force acting on a system.

Correct Answer: C

Content point 4 clearly states, "Potential energies are associated only with conservative forces."

A graph plots the component of force parallel to displacement ($F_{||}$) on the y-axis versus the displacement on the x-axis. How can the work done by this force over a certain displacement be determined from the graph?

A) By finding the slope of the line at the final displacement.

B) By calculating the area under the curve between the initial and final displacements.

C) By reading the maximum value of the force from the y-axis.

D) By dividing the final force by the final displacement.

Correct Answer: B

Content point 8 states, "Work is equal to the area under the curve of a graph of $F_{||}$ as a function of displacement."

If the net work done on a system is negative, what does this imply about the energy of the system?

A) Energy has been transferred into the system.

B) The system's total energy remains constant.

C) Energy has been transferred out of the system.

D) The system has no kinetic energy.

Correct Answer: C

Content point 2 defines work as energy transfer. Content point 5 notes that work can be positive, negative, or zero. Positive work corresponds to energy transferred into a system, while negative work corresponds to energy transferred out of the system.

To calculate the work done on a system by a constant force, which two factors are directly related to the amount of work done?

A) The mass of the system and its acceleration.

B) The components of the force and the displacement of the point of application.

C) The total time the force is applied and the system's inertia.

D) The potential energy of the system and its initial velocity.

Correct Answer: B

Content point 6 states, "The amount of work done on a system by a constant force is related to the components of that force and the displacement of the point at which that force is exerted."

An object is initially moving with some kinetic energy. If the net work done on the object by all forces is positive, what is the effect on the object's kinetic energy?

A) The kinetic energy decreases.

B) The kinetic energy remains the same.

C) The kinetic energy increases.

D) The kinetic energy becomes zero.

Correct Answer: C

According to the work-energy theorem (Content point 7), the change in kinetic energy is equal to the net work. If the net work is positive, the change in kinetic energy must also be positive, meaning the kinetic energy increases.

An object is moved from an initial to a final position. The work done by Force F1 is the same regardless of whether the path taken is a straight line or a semicircle. The work done by Force F2 is different for these two paths. What can be concluded about these forces?

A) Both F1 and F2 are conservative forces.

B) F1 is a conservative force, and F2 is a non-conservative force.

C) F1 is a non-conservative force, and F2 is a conservative force.

D) Both F1 and F2 are non-conservative forces.

Correct Answer: B

Content point 3 states that work done by a conservative force is path-independent. Since the work done by F1 is the same for two different paths between the same two points, F1 must be conservative. Since the work done by F2 depends on the path, it must be non-conservative.

The term "net work" in the context of the work-energy theorem refers to:

A) The work done by only the conservative forces.

B) The work done by only the non-conservative forces.

C) The sum of the work done by all individual forces exerted on the object.

D) The work done by the largest single force acting on the object.

Correct Answer: C

Content point 7 defines the work-energy theorem in terms of "the sum of the work (net work) being done by all forces exerted on the object." This means net work is the algebraic sum of the work done by every force.

An object is moved from point P to point Q and then back to point P, completing a closed loop. If the work done by a specific force over this entire round trip is zero, what can be definitively concluded about that force?

A) The force must be a frictional force.

B) The force must be a conservative force.

C) The force must be perpendicular to the displacement at all times.

D) The force must be zero at all points along the path.

Correct Answer: B

A key property of a conservative force, derived from its path-independence (Content point 3), is that the work done over any closed path is zero. Because the initial and final configurations are the same, the work done by a conservative force must be zero.

Consider a graph of the parallel force component ($F_{||}$) versus displacement for an object that moves from x = 0 m to x = 10 m. The area under the curve from x = 0 m to x = 5 m is +20 J, and the area under the curve from x = 5 m to x = 10 m is -15 J. What is the net work done on the object over the entire 10 m displacement?

A) +35 J

B) +20 J

C) +5 J

D) -15 J

Correct Answer: C

According to content point 8, work is the area under the force-displacement curve. The net work is the algebraic sum of the work done over each interval. Therefore, W_net = W_(0-5) + W_(5-10) = (+20 J) + (-15 J) = +5 J.

If a constant force is exerted on a system, but the system does not move, which of the following statements is true?

A) The work done by the force is positive, increasing the system's kinetic energy.

B) The work done by the force is negative, decreasing the system's potential energy.

C) The work done by the force is zero, and there is no change in the system's kinetic energy due to this force.

D) The work done by the force depends on the mass of the system.

Correct Answer: C

Content point 2 defines work as energy transfer by a force exerted over a distance. If the displacement is zero, the work done is zero. According to the work-energy theorem (Content point 7), if the net work is zero, the change in kinetic energy is zero.

Work is described as being done on a system by a collection of forces. This implies that work is:

A) A property inherent to a system, like mass.

B) A process of energy transfer involving forces and displacement.

C) Another term for the kinetic energy of the system.

D) A measure of how long a force is applied.

Correct Answer: B

Content points 1 and 2 describe work as something done on a system by forces over a distance, which is a process of energy transfer, not an inherent property of the system itself.