Newton's Third-Law Interaction Pairs

Key idea: Identify Newton's third-law pairs by reversing agent and target across two interacting bodies.

  • SEC G3 Physics 2027
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Learning objectives

  • Distinguish contact forces from non-contact forces
  • State that mass measures the amount of matter in a body
  • Describe a gravitational field as a region where a mass experiences gravitational force
  • Define gravitational field strength as gravitational force per unit mass
  • Apply weight = mass × gravitational field strength
  • Distinguish mass from weight
  • Describe the effect of balanced and unbalanced forces on a body
  • Describe ways a force may change motion
  • Identify action–reaction pairs on interacting bodies
  • Draw free-body diagrams for force systems in at most two dimensions
  • Solve three-force static equilibrium graphically
  • Apply resultant force = mass × acceleration
  • Relate mass to resistance to change in motion
  • Explain the effects of friction on motion
  • Describe falling with and without air resistance, including terminal velocity
  • Describe a moment as a force's turning effect in everyday examples
  • Apply moment = force × perpendicular distance from the pivot
  • State the principle of moments for a body in equilibrium
  • apply the principle of moments to new situations or to solve related problems
  • show an understanding that the weight of a body may be taken as acting at a single point known as its centre of gravity
  • Explain qualitatively how centre-of-gravity position affects stability

Retrieve: name a force precisely

A hand pushes a trolley. Complete the name force of ___ on ___. The contact force is the force of the hand on the trolley. Precise names expose which body exerts the force and which body experiences it.

One interaction, two bodies

If body A exerts a force on body B, body B simultaneously exerts an equal-magnitude, opposite-direction force on body A. The two forces:

  • arise from the same interaction;
  • are the same force type;
  • act on different bodies;
  • are found by reversing agent and target: A-on-B ↔ B-on-A.
Two separately outlined blocks, each with its own free-body diagram. The contact force of block A on block B points right on B; the equal contact force of block B on block A points left on A.
The paired diagrams make body ownership explicit: each member of the contact pair belongs to a different free-body diagram.

Because the forces act on different bodies, they cannot cancel in the resultant for either single body.

Modelled example: reverse agent and target

Modelled example 1

A swimmer pushes water

Core

Problem

A swimmer exerts a backward contact force on the water. Identify the Newton’s third-law partner.
Study the worked solution
  1. Name the given force

    Method

    Write swimmer-on-water.

    Reason

    The swimmer is the agent and the water is the target.

    Working

    The force acts backward on the water.
  2. Reverse the names

    Method

    The partner is water-on-swimmer.

    Reason

    It is the reverse direction of the same contact interaction.

    Working

    It acts forward on the swimmer with equal magnitude.

Guided practice: the table and box

Guided practice 2

Find the partner to the normal force

About 5 min

Problem

A box rests on a table. Which force is paired with the table’s upward normal force on the box?

Choose by body ownership

Third-law partner

Hints

Hint 1: keep the interaction
The given force is a contact force between table and box.
Hint 2: reverse the names
Table-on-box becomes box-on-table.
View solution step by step
  1. Separate same-body balance from the pair

    Method

    Choose the box’s downward contact force on the table.

    Reason

    It has the same two bodies and force type, with agent and target reversed.

    Working

    Weight and normal can balance on the box, but both act on the box and are not a third-law pair.

Two common confusions

  1. Weight and normal are a third-law pair. They can be equal and opposite, but both act on the box and arise from different interactions. The gravitational partner to Earth-on-box is box-on-Earth.
  2. Third-law forces cancel. They do not act on one selected body, so they cannot be added in one body’s resultant.

Contact transfer: a bouncing ball

Challenge 3

Ball and ground during a bounce

Minimal support

Problem

While a ball is in contact with the ground, name the contact pair and explain why the ball may accelerate upward even though the pair has equal magnitude.

Name both bodies and then isolate the ball

Hints

Hint 1: name the interaction
Reverse ground-on-ball to identify the contact partner.
Hint 2: isolate the ball
For the ball’s acceleration, compare only forces that act on the ball.
View solution step by step
  1. Identify the contact pair

    Method

    Pair ground-on-ball upward with ball-on-ground downward.

    Reason

    They reverse agent and target in the same contact interaction.

    Working

    The two forces act on different bodies.
  2. Return to one body for acceleration

    Method

    On the ball, compare ground-on-ball with weight.

    Reason

    These are the forces that contribute to the ball’s resultant.

    Working

    During the bounce, ground-on-ball can exceed weight, producing an upward resultant.

Non-contact transfer: gravity

A falling ball and Earth exert gravitational forces on each other. Earth-on-ball is downward on the ball. Ball-on-Earth is toward the ball on Earth. These forces are equal and opposite despite the very different accelerations of the two bodies.

Independent evidence

Two skaters push off from each other. Without being told which law to use:

  1. name the two contact forces as agent-on-target;
  2. state whether they cancel;
  3. explain why the lighter skater has the greater acceleration although the forces are equal.
Check your reasoning

The pair is A-on-B and B-on-A, equal and opposite on different skaters, so it does not cancel on either skater. Each skater receives one pair member; for the same force magnitude, a = F/m gives the lighter skater the greater acceleration.

For mixed practice, always decide first whether the question selects one body for a resultant or two bodies for one interaction.

Continue with the next resource in this course.

Course and syllabus information
Course
SEC G3 Physics
Edition
SEC G3 Physics 2027