Newton's Laws (College Board AP® Physics 1: Algebra-Based): Exam Questions

1 hour25 questions
1a
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1 mark

State Newton's first law of motion.

1b
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1 mark

State the condition required for an object to be in translational equilibrium.

1c
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2 marks

A car is travelling along a straight horizontal road with a constant force of12 space 000 space straight N applied by the engine to maintain a constant velocity. There are no external forces acting on the car other than friction.

i) Determine the magnitude of the frictional force acting on the car.

ii) Determine the magnitude of the acceleration of the car.

1d1 mark
Tennis balls in various positions: stationary on the ground, being hit by a racket, in motion, and bouncing off a net.

Figure 1

The diagram in Figure 1 shows the different stages of motion of a ball during a game of tennis.

Label each stage with the correct statement from below.:

  • Unless acted on by an unbalanced force

  • An object at rest will remain at rest

  • An object in motion will continue with constant speed and direction

The statements may be used more than once.

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2a
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1 mark

Define the term reference frame.

2b
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2 marks

Describe the meaning of an inertial reference frame. Include in your answer information on:

  • The type of acceleration present in an inertial reference frame

  • The law(s) of motion verified by an observer in an inertial reference frame

2c
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1 mark

Define inertia.

2d
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3 marks

Identify whether the following statements about inertia and mass are correct. Give the correct versions of any incorrect statements.

  1. Objects with a smaller mass have a greater inertia

  2. Objects with a greater mass have a greater tendency to resist a change in motion

  3. It is easier to move a box with a greater mass than with a smaller mass

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3a
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3 marks

State qualitatively Newton's second law of motion.

3b
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2 marks

State the equation for Newton's second law and define the variables.

3c
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2 marks

Describe the magnitude of the net external force on an object in each of the scenarios:

i) When the forces are balanced.

ii) When the forces are unbalanced.

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4a
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2 marks

A student makes the following claim:

"Newton's third law involves the interaction of paired forces acting on a single object."

Identify whether the student is correct or incorrect.

Justify your reasoning.

4b
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1 mark

State Newton's third law.

4c
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4 marks

Describe the four conditions required for a Newton's third law force pair.

4d
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3 marks
Illustration of a revolver firing a bullet.

Figure 1

Figure 1 shows a gun releasing a bullet.

Draw arrows on the gun and the bullet showing the forward force and the recoil force. Clearly label the arrows.

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5a
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1 mark

A box is at rest on the surface of the Earth. The Earth exerts a downward acting force of 150 space straight N on the box.

Determine the magnitude of the force exerted on the Earth by the box.

5b
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1 mark

A person exerts a 50 space straight N force on the side of box from part (a) and it remains stationary.

Determine the magnitude of the force the box exerts on the person.

5c
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4 marks

The person no longer exerts the 50 space straight N force on the side of the box from part (a) but instead applies a 20 space straight N force pushing down on the box.

Calculate the normal force exerted by the floor on the box. Justify your reasoning.

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1
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4 marks

A box of mass m is placed on a rough horizontal surface. A person applies a force of straight F at an angle of theta above the horizontal. The coefficient of kinetic friction between the box and the surface is mu subscript s and an expression for the magnitude of the normal force acting on the block is F subscript n space equals space m g space minus space F sin theta.

Derive an expression for the acceleration of the box in terms of F, m and theta.

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2a
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4 marks

Two masses, m subscript 1 and m subscript 2, are connected by a light, inextensible string over a frictionless pulley.

Derive an expression for the acceleration of the system in terms of m subscript 1, m subscript 2 and g.

2b
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3 marks

Derive an equation for the tension in the string in terms of m subscript 1, m subscript 2 and g. Your equation should be presented in its most simplified form as a single fraction.

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3
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4 marks

A box is pulled across a rough horizontal surface with a force of 20 space straight N at an angle of 30 degree above the horizontal. The box has a mass of 5.0 space kg. The surface exerts a frictional force of 3.0 space straight N opposing the motion.

Indicate whether the normal force acting on the box is less than, equal to, or greater than the weight of the box. Justify your answer using Newton’s Second Law.

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4
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2 marks

A block of mass m is pushed with a horizontal force of F on a rough surface, where the coefficient of kinetic friction is mu subscript k space equals space 0.3. The block begins to move due to the force F applied horizontally. The magnitude of the normal force is 10.0 m.

Estimate the acceleration of the block.

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1
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3 marks

A block of mass m is pushed with a horizontal force of F on a rough surface, where the coefficient of kinetic friction is mu subscript k space equals space 0.3.

The force F is now applied at an angle of 30.0 degree above the horizontal. Indicate whether the motion of the block will change. Justify how the motion of the block would change.

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