Explain Newton's third law with an example

Physics

ScanSolve AI Answer

Step-by-step solution

4 steps

Newton's Third Law

Newton's third law states:
For every action, there is an equal and opposite reaction.

In other words, if object A exerts a force F⃗A on B\vec{F}_{A\text{ on }B} on object B, then object B exerts an equal force F⃗B on A=−F⃗A on B\vec{F}_{B\text{ on }A} = -\vec{F}_{A\text{ on }B} on object A.

The forces are equal in magnitude, opposite in direction, and act on different objects.

  1. State the law mathematically

    F⃗A on B=−F⃗B on A\vec{F}_{A\text{ on }B} = -\vec{F}_{B\text{ on }A}
  2. Example — Person pushing against a wall

    Consider a person pushing on a wall with their hand.

    Action force: Hand exerts force F⃗hand on wall\vec{F}_{\text{hand on wall}} to the right on the wall (magnitude FF, say 50 N).

    F⃗hand on wall=Fi^(50 N to the right)\vec{F}_{\text{hand on wall}} = F\hat{i} \quad (50~\text{N to the right})

    Reaction force: Wall exerts equal and opposite force on hand.

    F⃗wall on hand=−Fi^(50 N to the left)\vec{F}_{\text{wall on hand}} = -F\hat{i} \quad (50~\text{N to the left})
  3. Verify equality

    Magnitude: ∣F⃗hand on wall∣=∣F⃗wall on hand∣=50 N|\vec{F}_{\text{hand on wall}}| = |\vec{F}_{\text{wall on hand}}| = 50~\text{N}
    Direction: Opposite (right vs. left)
    Objects: Different (hand vs. wall)

    The person feels the push back from the wall, but neither moves much due to the wall's large mass.

  4. Real-world implication

    These forces don't cancel because they act on different objects. The net force on each determines acceleration via Newton's second law: F⃗net=ma⃗\vec{F}_{\text{net}} = m\vec{a}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question