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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
  • All boards
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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?

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    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.

Practice questions

Have a go at each one before you open its answer.

  1. Question 1 State 2 marks

    State Newton's Third Law of motion.

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    Model answer

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

    Mark scheme

    • Forces are equal — 1 mark
    • and opposite — 1 mark
  2. Question 2 Explain 3 marks

    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.

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    Model answer

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

    Mark scheme

    • Book pushes down — 1 mark
    • On the table — 1 mark
    • Equal in size and opposite in direction — 1 mark
  3. Question 3 Explain 3 marks

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

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    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.

    Mark scheme

    • 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
  4. Question 4 Explain 3 marks

    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.

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    Model answer

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

    Mark scheme

    • Forces are equal — 1 mark
    • Opposite in direction — 1 mark
    • Newton's Third Law applies whatever the masses — 1 mark
  5. Question 5 Explain 4 marks

    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.

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    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.

    Mark scheme

    • 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

Quick check

  1. Newton's third law pairs are...

    1. Aequal and opposite
    2. Bequal and in the same direction
    3. Cunequal
    4. Dalways balanced on one object
    Show answerHide answer

    A: equal and opposite

    Equal in size, opposite in direction.

  2. The forces in a pair act on...

    1. Athe same object
    2. Bdifferent objects
    3. Conly the Earth
    4. Dno objects
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    B: different objects

    Each force acts on the other object.

  3. A rocket moves up because the gas pushes...

    1. Athe ground
    2. Bthe Sun
    3. Cthe rocket up
    4. Dthe Moon
    Show answerHide answer

    C: the rocket up

    Equal and opposite force.

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

    1. Awith no force
    2. Bwith a larger force
    3. Cwith a smaller force
    4. Dwith an equal force
    Show answerHide answer

    D: with an equal force

    Third law.

  5. Interaction pairs are always...

    1. Athe same type of force
    2. Bdifferent types
    3. Czero
    4. Dscalars
    Show answerHide answer

    A: the same type of force

    Both are contact, or both gravitational.

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