Third-law pairs act on different bodies

  1. 01

    The tempting model

    Cancelling an action–reaction pair on a single free-body diagram.

  2. 02

    Why it feels right

    Equal and opposite forces sound like they should cancel.

  3. 03

    Where it breaks · how to catch it

    You canceled two forces that act on two different objects.

  4. 04

    The correct model

    Newton's third-law partners act on different bodies, so they never cancel on one object's diagram. Balance forces only within a single body's diagram.

  5. 05

    Repair · see it, then test it

    worked example A horse pulls a cart forward. If forces are equal and opposite, how does it accelerate?

    Tempting move

    The forces cancel, so nothing moves.

    Correct move

    The pair acts on different bodies; the cart accelerates from the net force on the cart alone.

    Test the repair NL-08 · transfer
    A swimmer pushes water backward. What is the third-law partner to that force?

    Make a fresh prediction before referring to the worked example.