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Physics · Forces

Newton's Third Law

State and apply Newton's Third Law to pairs of interacting forces and to equilibrium situations.

  • 6 key terms
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Teacher resources

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Student handouts

The same files the students see, to print or hand out.

Warm-up

Answer each one, then check.

  1. 1

    What is a force?

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    A push or a pull

  2. 2

    What are balanced forces?

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    Equal and opposite forces on the same object

  3. 3

    Give a contact force.

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    Friction, tension or normal contact force

  4. 4

    What is a non-contact force?

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    A force between objects that are not touching

  5. 5

    What is weight?

    Show answerHide answer

    The force of gravity on an object

Learning Objectives

  1. 1State Newton's Third Law.
  2. 2Identify pairs of forces between two interacting objects.
  3. 3Explain why interaction pairs do not cancel each other.
  4. 4Apply the law to objects in equilibrium.

NEWTON'S THIRD LAW

Whenever two objects interact, the forces they exert on each other are equal and opposite.

The two forces in an interaction pair act on different objects, are the same type of force, and are equal in size and opposite in direction.

Finding an Interaction Pair

A book rests on a table. The table exerts an upward force on the book. What is the other force in this interaction pair?

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  1. 1 Type of force A contact (normal) force
  2. 2 Acts on The table
  3. 3 Direction Downwards

AnswerThe book pushes down on the table with an equal force.

Weight and Contact Force

A book at rest on a table has a weight of 10 N. Is the normal contact force from the table the Third-Law pair of the weight? Explain.

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  1. 1 Weight The Earth pulls the book down; the pair is the book pulling the Earth up
  2. 2 Normal contact force The table pushes the book up: a different kind of force
  3. 3 So They are equal and opposite because the book is in equilibrium, not because of the Third Law

AnswerNo. The pair of the weight is the book's gravitational pull on the Earth. The contact force balances the weight (Newton's First Law).

Why Things Move

A swimmer pushes backwards on the water. Explain why the swimmer moves forwards.

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  1. 1 Action The swimmer pushes the water backwards
  2. 2 Reaction The water pushes the swimmer forwards with an equal force
  3. 3 Resultant Acts on the swimmer and causes acceleration

AnswerThe water pushes back on the swimmer with an equal and opposite force.

Common Mistakes

Avoid these.

  • Same object

    Forces that cancel act on the same object; a Third-Law pair acts on different objects.

  • Always equal

    The forces in a pair are always equal, even if one object is much lighter.

  • Same type

    The pair is always the same type of force.

  • Motion

    Equal forces on different objects can give different accelerations (F = ma).

Find the Pair

For each, state the other force in the pair: (a) a foot pushes backwards on the ground (b) the Sun pulls the Earth (c) a rocket pushes gas out of its engine.

1. Swap the objects.

2. Keep the same type of force.

A good answer shows: (a) The ground pushes the foot forwards. (b) The Earth pulls the Sun. (c) The gas pushes the rocket forwards.

Can I...?

  1. 1State the third law.
  2. 2Name the object each force acts on.
  3. 3Identify a pair.
  4. 4Explain that pairs do not cancel.
  5. 5Apply it to a book on a table.
  6. 6Apply it to a swimmer.
  7. 7Apply it to gravity.
  8. 8Explain equilibrium.

Summary & Exam Focus

  • Interaction pairs: equal and opposite, on different objects.
  • Same type of force in a pair.
  • Weight and normal force are not a Third-Law pair.
  • Equilibrium: balanced forces on one object.

Exam focus

State Newton's Third Law. (2 marks) (2 marks)

Forces equal in size and opposite in direction on different objects.

Key terms

The vocabulary this lesson expects you to use. Each one is linked from the first place it appears above.

Newton's Third Law
The forces two interacting objects exert on each other are equal and opposite.
Interaction pair
The two forces in an interaction between two objects.
Equilibrium
When the forces on an object are balanced.
Normal contact force
The push from a surface on an object resting on it.
Reaction force
The force that forms a pair with another force.
Different objects
The two forces in a pair act on separate bodies.

Questions and answers

10 questions set on this lesson, with the mark schemes and model answers open.

1. Exam question State 2 marks Easier

State Newton's Third Law of motion.

Mark scheme — 2 marks available

  • Forces are equal — 1 mark
  • and opposite — 1 mark

Model answer

Whenever two objects interact, the forces they exert on each other are equal and opposite.

2. Exam question Explain 3 marks Easier

A book rests on a table. The table pushes up on the book. State the force that forms a Newton's Third Law pair with this force, and the object it acts on.

Mark scheme — 3 marks available

  • Book pushes down — 1 mark
  • On the table — 1 mark
  • Equal in size and opposite in direction — 1 mark

Model answer

The book pushes down on the table (a contact force). It acts on the table.

3. Exam question Explain 3 marks Easier

A swimmer pushes the water backwards and moves forwards. Explain why, using Newton's Third Law.

Mark scheme — 3 marks available

  • Swimmer pushes water backwards — 1 mark
  • Water pushes swimmer forwards with an equal force — 1 mark
  • Forces act on different objects or make the swimmer accelerate — 1 mark

Model answer

The swimmer pushes the water backwards. The water exerts an equal and opposite force on the swimmer, forwards, so the swimmer moves forwards.

4. Exam question Explain 3 marks Easier

The Earth pulls the Moon with a gravitational force. A student says that the Moon pulls on the Earth with a much smaller force because the Moon is much less massive. Explain why the student is wrong.

Mark scheme — 3 marks available

  • Forces are equal — 1 mark
  • Opposite in direction — 1 mark
  • Newton's Third Law applies whatever the masses — 1 mark

Model answer

The forces are equal and opposite (Newton's Third Law), however different the masses are.

5. Exam question Explain 4 marks Easier

A book of weight 10 N rests on a table. A student says the weight and the upward force from the table are a Newton's Third Law pair. Explain why the student is wrong. Name the force that does form a pair with the weight.

Mark scheme — 4 marks available

  • Both forces act on the book — 1 mark
  • Third Law pairs act on different objects — 1 mark
  • Equal because of equilibrium — 1 mark
  • Book pulls the Earth upwards — 1 mark

Model answer

Both forces act on the same object (the book), but a Third-Law pair acts on different objects. They are equal because the book is in equilibrium. The pair for the weight (the Earth pulling the book down) is the book pulling the Earth up.

6. Multiple choice 1 mark Easier

Newton's third law pairs are...

  1. A equal and opposite Correct
  2. B equal and in the same direction
  3. C unequal
  4. D always balanced on one object

Why: Equal in size, opposite in direction.

7. Multiple choice 1 mark Core

The forces in a pair act on...

  1. A the same object
  2. B different objects Correct
  3. C only the Earth
  4. D no objects

Why: Each force acts on the other object.

8. Multiple choice 1 mark Core

A rocket moves up because the gas pushes...

  1. A the ground
  2. B the Sun
  3. C the rocket up Correct
  4. D the Moon

Why: Equal and opposite force.

9. Multiple choice 1 mark Core

If you push a wall, the wall pushes you...

  1. A with no force
  2. B with a larger force
  3. C with a smaller force
  4. D with an equal force Correct

Why: Third law.

10. Multiple choice 1 mark Stretch

Interaction pairs are always...

  1. A the same type of force Correct
  2. B different types
  3. C zero
  4. D scalars

Why: Both are contact, or both gravitational.