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AP Physics C: Mechanics Practice Quiz: Forces and Free-Body Diagrams

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 content, what is the most fundamental description of a force?

All Questions (15)

According to the provided content, what is the most fundamental description of a force?

A) An interaction between two objects or systems.

B) A property of a single object that causes it to accelerate.

C) A quantity measured in meters per second squared.

D) The energy stored within a system.

Correct Answer: A

The content explicitly states that a force is an 'interaction between two objects or systems.' The other options describe acceleration, a property of a single object, or energy, which are different physical concepts.

A student is tasked with analyzing the motion of a textbook sliding across a table. What is the primary purpose of drawing a free-body diagram for the textbook in this scenario?

A) To calculate the speed of the textbook.

B) To show all the forces the textbook exerts on its environment.

C) To describe the forces exerted on the textbook by its environment.

D) To determine the mass of the textbook.

Correct Answer: C

The content specifies that a free-body diagram is used to 'describe the forces exerted on an object or system' and that it 'shows each of the forces exerted on the object or system by the environment.' It does not show forces exerted by the object itself.

Which characteristic of forces requires them to be represented with both magnitude and direction?

A) They are scalar quantities.

B) They are vector quantities.

C) They always occur in pairs.

D) They are a form of energy.

Correct Answer: B

The content states, 'Forces are vector quantities that describe the interactions between objects or systems.' By definition, vector quantities have both magnitude and direction.

A person sitting in a canoe tries to make the canoe move forward by pushing on the front of the canoe. The canoe does not accelerate. Which principle best explains this outcome?

A) Forces are vector quantities.

B) The force of friction from the water is too large.

C) An object or system cannot exert a net force on itself.

D) The coordinate system was not aligned with the direction of motion.

Correct Answer: C

The person and the canoe form a single system. The push is an internal force within that system. The content states, 'An object or system cannot exert a net force on itself.' To move, the system needs an external force, like a paddle pushing on the water.

When drawing a free-body diagram for a satellite orbiting Earth, which of the following forces should be included?

A) The gravitational force the satellite exerts on the Earth.

B) The force of the satellite's thrusters, even if they are turned off.

C) The gravitational force exerted on the satellite by the Earth.

D) The force of the satellite on itself.

Correct Answer: C

A free-body diagram shows forces exerted *on* the object or system by the environment. The gravitational force exerted by the Earth on the satellite is the primary external force. The force the satellite exerts on the Earth would be in the Earth's free-body diagram, not the satellite's.

A block is accelerating down a frictionless inclined plane. To simplify the process of translating the free-body diagram into an algebraic representation, how should the coordinate system be oriented?

A) With the x-axis horizontal and the y-axis vertical.

B) With one axis parallel to the direction of acceleration.

C) With the origin placed at the top of the inclined plane.

D) With one axis pointing in the direction of the gravitational force.

Correct Answer: B

The content explicitly states, 'A coordinate system with one axis parallel to the direction of acceleration of the object or system simplifies the translation from free-body diagram to algebraic representation.' For a block sliding down a ramp, this means tilting the axes.

A soccer player kicks a ball. The force exerted by the player's foot on the ball is an example of:

A) A system exerting a net force on itself.

B) A scalar quantity.

C) An interaction between two objects.

D) A non-vector force.

Correct Answer: C

The content defines a force as 'an interaction between two objects or systems.' In this case, the two interacting objects are the player's foot and the ball.

A student draws a free-body diagram for a car that is braking to a stop. They draw the force of gravity, the normal force from the road, the friction force from the road, and a forward-pointing force they label 'the car's own force.' What is the conceptual error in this diagram?

A) The student forgot to include air resistance.

B) The diagram includes a force that the system exerts on itself.

C) The friction force should be pointing forward.

D) The normal force and gravity are not vector quantities.

Correct Answer: B

The label 'the car's own force' violates the principle that 'An object or system cannot exert a net force on itself.' All forces on a free-body diagram must be external forces exerted by the environment on the system (the car).

Which of the following statements accurately describes a key feature of a correctly drawn free-body diagram?

A) It includes all forces, both internal and external to the system.

B) It shows only the forces exerted on the object by the environment.

C) It must always have a coordinate system with a vertical y-axis.

D) It depicts the velocity and acceleration of the object.

Correct Answer: B

The content specifies that 'The free-body diagram of an object or system shows each of the forces exerted on the object or system by the environment.' It does not include internal forces or forces exerted by the object on the environment.

A rocket is accelerating upwards after launch. When setting up equations of motion from its free-body diagram, why is it advantageous to set the positive y-axis in the upward direction?

A) Because gravity always acts in the negative direction.

B) To ensure that all forces are positive values.

C) Because this choice aligns one axis with the direction of acceleration.

D) Because forces are scalar quantities and the coordinate system is arbitrary.

Correct Answer: C

The content states that aligning one axis with the direction of acceleration 'simplifies the translation from free-body diagram to algebraic representation.' Since the rocket is accelerating upward, aligning the y-axis with this direction is the most efficient choice.

Consider a system consisting of a horse and a cart that it is pulling. A free-body diagram is drawn for the cart only. Which of the following forces should be included in the cart's diagram?

A) The force the cart exerts on the horse.

B) The force the horse exerts on the cart.

C) The force the horse's hooves exert on the ground.

D) The internal forces holding the cart together.

Correct Answer: B

The free-body diagram for the cart must show all external forces exerted *on* the cart by its environment. The force the horse exerts on the cart is an external force from the perspective of the cart system. The other options describe forces exerted by the cart, forces on a different object (the horse), or internal forces.

Forces are described as vector quantities because they:

A) are always constant.

B) are interactions between two objects.

C) can be represented by a single number.

D) have both a magnitude and a direction.

Correct Answer: D

The content identifies forces as vector quantities. The definition of a vector quantity is one that possesses both a magnitude (how strong the force is) and a direction (which way it pushes or pulls).

A student is analyzing a system composed of two blocks, A and B, where A is stacked on top of B. The student draws a free-body diagram for the combined A+B system. Which of the following forces must be excluded from this specific diagram?

A) The gravitational force on block A from the Earth.

B) The force exerted by block A on block B.

C) The normal force on block B from the floor.

D) The gravitational force on block B from the Earth.

Correct Answer: B

When considering the combined A+B system, the forces between A and B are internal to the system. A free-body diagram shows only external forces exerted on the system by the environment. The force of A on B is an internal interaction and should not be included in the diagram for the combined system. The gravitational forces and the normal force from the floor are all external forces.

A free-body diagram for a falling apple (ignoring air resistance) would consist of:

A) A single force vector pointing downwards.

B) A downward force vector and an upward force vector of equal magnitude.

C) A single force vector pointing in the direction of motion.

D) No force vectors, because the apple is not touching anything.

Correct Answer: A

The free-body diagram shows forces exerted on the object by the environment. The only object in the environment interacting with the falling apple is the Earth, which exerts a downward gravitational force. Therefore, the diagram shows a single downward vector representing gravity.

The statement 'An object or system cannot exert a net force on itself' is a direct consequence of the fact that forces are:

A) vector quantities.

B) interactions between two different objects or systems.

C) simplified by the choice of coordinate system.

D) always balanced by a frictional force.

Correct Answer: B

Because a force is defined as an interaction *between two* objects or systems, any force an object exerts must be on a *different* object. Internal forces within a system cancel each other out (as per Newton's 3rd Law, which is a related concept), so a system cannot produce a *net* force on its own center of mass.