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TheoremProved

Newton's third law (action-reaction)

Statement

When object A exerts a force on object B, object B simultaneously exerts a force on A that is equal in magnitude, same line of action, but opposite in direction.

Why is it true?

These two forces always act on two different objects, so they never cancel each other — this is the source of rocket thrust, walking, and every interaction between two bodies.

Two colliding spheres: measure the force each exerts on the other at every instant — always equal and opposite, even for unequal masses.

Stated by

Topics that use this theorem

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Step-by-step proofs

No step-by-step proof yet for this theorem.

References

  1. Isaac Newton (1687). Principia Mathematica