Forces and Free-Body Diagrams

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AP Physics 1 › Forces and Free-Body Diagrams

Questions 1 - 10
1

A block is pressed against a vertical wall by a horizontal push and remains at rest. Static friction is present between block and wall. The push is horizontal.

Which forces act on the block?

Weight downward and applied push only (no normal force)

Weight downward, applied push into wall, normal force from wall, and static friction upward

Weight downward, applied push into wall, and static friction downward

Weight downward, normal force from wall, and a force of motion upward

Explanation

This question examines free-body diagrams for objects in static equilibrium against vertical surfaces with friction. Choose the block as the system and list external forces from contacts. The forces are weight downward, the applied horizontal push into the wall, normal force from the wall outward, and static friction upward opposing weight to prevent sliding. Equilibrium requires friction to balance weight vertically and normal to balance the push horizontally. Choice B is incorrect because it shows friction downward, which would not counteract weight and allow the block to fall. For such scenarios, ensure frictional forces are directed to oppose potential motion, and verify balance in all directions for rest conditions.

2

A car rounds a flat (unbanked) curve at constant speed. Static friction between tires and road is present; air resistance is negligible.

Which force provides the car’s horizontal acceleration toward the center of the curve?

A force in the direction of motion

Normal force

Static friction

Weight

Explanation

This question assesses understanding of forces providing centripetal acceleration in circular motion on flat surfaces. Select the car as the system and identify forces causing the inward acceleration. Static friction between tires and road acts toward the center of the curve, providing the necessary horizontal force for turning at constant speed. Other forces like weight and normal are vertical and do not contribute horizontally. Choice D is incorrect because there is no 'force in the direction of motion'; centripetal force is perpendicular to tangential velocity. A key strategy is to recognize that centripetal force comes from real forces like friction, directed inward, and separate it from tangential forces affecting speed.

3

A puck moves at constant velocity across level ice. Friction and air resistance are negligible. Which forces act on the puck?

Weight downward, normal upward, and a forward force in the direction of motion

Only the weight $mg$ downward

Weight $mg$ downward and normal force upward

Only a forward force in the direction of motion

Explanation

This problem tests understanding of forces on an object in uniform motion with no friction. When creating a free-body diagram, we choose the puck as our system and identify only real forces acting on it. The puck experiences two forces: its weight (mg) downward from gravity and the normal force upward from the ice surface. Since the puck moves at constant velocity with no friction or air resistance, there is no net force, and these vertical forces balance each other. Choice A incorrectly includes a "forward force in the direction of motion" - objects in motion don't require forces to maintain constant velocity, only to change velocity. Remember Newton's first law: an object at constant velocity has zero net force.

4

A box is pulled up a rough incline at constant velocity by a rope parallel to the incline. Kinetic friction is present. Which force acts on the box along the incline?

Kinetic friction down the incline

Kinetic friction up the incline

The normal force up the incline

A force of motion up the incline

Explanation

This problem requires identifying forces along an inclined plane with friction. When analyzing forces on an incline, we consider components parallel to the surface and choose the box as our system. Along the incline, the box experiences the parallel component of weight pointing down the incline, the tension from the rope up the incline, and kinetic friction down the incline (opposing the motion up). Since the box moves at constant velocity, these forces along the incline must sum to zero. Choice A incorrectly shows friction up the incline - kinetic friction always opposes the direction of motion, so it must point down since the box moves up. When solving incline problems with friction, always draw kinetic friction opposite to the velocity direction.

5

A $1.2,\text{kg}$ box slides down a rough $25^\circ$ incline and speeds up. Kinetic friction is present.

Which force direction for friction on the box is correct?

Friction acts perpendicular to the incline, opposite the normal force

Friction acts up the incline, opposite the box’s motion along the surface

Friction acts down the incline because the box is moving down the incline

No friction acts because the box is accelerating

Explanation

This question tests your ability to identify forces in a free-body diagram, specifically the direction of kinetic friction. When analyzing forces on the sliding box, we have weight (downward), normal force (perpendicular to the incline surface), and kinetic friction. Kinetic friction always opposes the relative motion between surfaces - since the box slides down the incline, friction acts up the incline. Choice A incorrectly states friction acts down the incline in the direction of motion, but friction never aids motion - it always opposes it. The key strategy is to remember that kinetic friction always acts opposite to the direction of sliding along the surface.

6

A sled is pulled right by a rope on a frictionless horizontal surface and speeds up. Friction is negligible. Which forces act on the sled?

Weight downward, normal upward, and tension to the right

Weight downward and tension to the right (no normal force)

Weight downward, normal upward, and a force of motion to the right

Weight downward and the sled’s force on Earth upward

Explanation

This problem tests identifying forces on an accelerating object on a frictionless surface. When drawing a free-body diagram, we choose the sled as our system and include only forces acting directly on it. The sled experiences three forces: weight (mg) downward from gravity, normal force upward from the surface (perpendicular to the surface), and tension to the right from the rope pulling it. Since friction is negligible and the sled speeds up to the right, the tension provides the net horizontal force causing acceleration. Choice B incorrectly includes a "force of motion" - motion is a result of forces, not a force itself. For any object on a horizontal surface, always include both weight and normal force, even on frictionless surfaces.

7

A student carries a $5.0,\text{N}$ textbook across a room at constant velocity. The book is held level in one hand. Air resistance is negligible.

Which forces act on the book?

Weight downward and the equal-and-opposite force that the book exerts on the hand upward (action-reaction pair on the book)

Only an upward force from the hand because the hand supports the book

Weight downward, an upward contact force from the hand, and a forward force from the hand

Weight downward and a force of motion forward because it moves at constant velocity

Explanation

This question tests your ability to identify forces in a free-body diagram for a carried object. The book experiences weight (downward) and the hand must provide two forces: an upward force to support against gravity and a forward force to maintain the constant velocity motion (overcoming any small resistances). These are both contact forces from the hand. Choice A incorrectly includes a "force of motion" - motion results from forces but is not itself a force. The key strategy is to recognize that a single contact (like the hand) can provide forces in multiple directions as needed to maintain the object's state of motion.

8

A $2.0,\text{kg}$ book is pushed across a horizontal table at constant velocity. Kinetic friction is present. The push is horizontal.

Which set of forces acts on the book?

Weight downward, normal force upward, and the table’s reaction force forward (equal to the push) instead of friction

Weight downward and a force of motion forward; no normal force because the book is moving

Weight downward, normal force upward, kinetic friction opposite the motion, applied push in the direction of motion

Weight downward, kinetic friction in the direction of motion, applied push in the direction of motion

Explanation

This question tests your ability to identify forces in a free-body diagram. When analyzing forces on the book, we must identify only the real forces acting directly on it: weight (gravitational force downward), normal force (support force from the table upward), kinetic friction (opposing motion, so opposite to the direction of movement), and the applied push (in the direction of motion). Since the book moves at constant velocity, these forces must be balanced. Choice C incorrectly includes a "force of motion" which is not a real force, and incorrectly states there's no normal force - the table must push up on the book to support it against gravity. The key strategy is to identify only real forces that result from interactions with other objects, never include fictitious "forces of motion."

9

A $2.0,\text{kg}$ book rests on a horizontal table. Friction is negligible. The book is at rest (no acceleration). Which forces act on the book?

Weight $mg$ downward, normal force upward, and a force in the direction of motion

Weight $mg$ downward and normal force upward

Normal force upward and a downward force the book exerts on the table

Only the weight $mg$ downward

Explanation

This problem tests your understanding of forces and free-body diagrams for objects at rest. When analyzing forces on an object, we must identify all real forces acting directly on that object - in this case, the book. The book experiences two forces: its weight (mg) acting downward due to Earth's gravitational pull, and the normal force from the table pushing upward on the book. Since the book is at rest with no acceleration, these forces must be balanced. Choice C incorrectly includes a "force in the direction of motion," but there is no motion and no such force exists - forces cause motion, not the other way around. Remember: for any object resting on a surface, always include weight downward and normal force perpendicular to the surface.

10

A $0.50,\text{kg}$ block hangs at rest from a vertical spring. Air resistance is negligible. Which forces act on the block?

Spring force upward and weight $mg$ downward

Spring force upward, weight $mg$ downward, and a force of rest downward

Only the spring force upward

Spring force upward and the downward force the block exerts on the spring

Explanation

This problem tests understanding of forces on an object in equilibrium attached to a spring. To draw a free-body diagram, we select the block as our system and identify forces acting directly on it. The block experiences two forces: its weight (mg) pulling downward due to gravity, and the spring force (elastic force) pulling upward. Since the block hangs at rest, these forces must be equal in magnitude and opposite in direction, resulting in zero net force. Choice B incorrectly adds a "force of rest" - being at rest is not a force but rather a state resulting from balanced forces. When an object is attached to a spring in equilibrium, the spring force exactly balances any other forces acting on the object.

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