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Newton's Third Law and Conservation of Momentum

conceptmedium~40 min study8 MCQ

Forces occur in equal and opposite pairs acting on different bodies; consequently the total momentum of an isolated system is conserved.

What is Newton's Third Law and Conservation of Momentum?

Forces occur in equal and opposite pairs acting on different bodies; consequently the total momentum of an isolated system is conserved.

Key formula / rule: Action and reaction act on different bodies and are of the same type.

Key points

  • State the third law and identify the correct force pair in a situation.
  • Apply momentum conservation to recoil and explosion problems.

Common exam trap

Cancelling action-reaction pairs within the same free-body diagram.

Definitions

Term

Newton's Third Law and Conservation of Momentum

Meaning

Forces occur in equal and opposite pairs acting on different bodies; consequently the total momentum of an isolated system is conserved.

Term

Newton's Third Law and Conservation of Momentum — explanation

Meaning

The pair members never act on the same body, which is why they never cancel in a free-body diagram of one body. Momentum conservation follows directly and is the tool of choice for collisions and explosions.

Learning objectives

  • State the third law and identify the correct force pair in a situation.

  • Apply momentum conservation to recoil and explosion problems.

Formulae

Key point

Action and reaction act on different bodies and are of the same type.

Key point

Total momentum is conserved when the net external force is zero.

Key point

Internal forces cannot change the momentum of a system.

Prerequisites

  • PHY-U1-NLM-T1-S1-C2

Common mistakes

  • Cancelling action-reaction pairs within the same free-body diagram.

  • Applying momentum conservation when a significant external force acts.

Keywords

  • Newton

  • Third

  • Conservation

  • Momentum

Practice preview

  • Two skaters A and B of weights 40 kg and 60 kg respectively stand facing each other 5 m apart. They pull on a rope stretched between them. How far has A moved when they meet?

    medium

  • A shell of mass M at rest explodes into two fragments of masses m1 and m2. If the fragments move in opposite directions with velocities v1 and v2, the ratio of their kinetic energies (K1/K2) is:

    easy

  • Which of the following statements is INCORRECT regarding the Law of Conservation of Linear Momentum?

    easy