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Linear Momentum and Impulse

Conservation of linear momentum

  • 3 things to know
  • Unit AS 1

Overview

Principle of conservation of linear momentum, isolated system in the context of momentum and how a rocket accelerates in terms of conservation of momentum.

What you need to know

Answer each one before you reveal it.

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Key term

Explain what conservation of momentum requires of the fragments of an object that explodes from rest.

Key term

Describe how the conservation of linear momentum is verified in a collision using trolleys and light gates.

Key term

Explain why the total momentum measured after a trolley collision is often slightly less than the total measured before.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the principle of conservation of linear momentum.

    Model answer

    The total momentum of a system of interacting bodies remains constant provided no resultant external force acts on that system.

  2. 2

    What is meant by an isolated system in the context of momentum?

    Model answer

    An isolated system is one on which no resultant external force acts, so nothing outside it can change the total momentum of the bodies inside it.

  3. 3

    Explain how the conservation of linear momentum follows from Newton's third law.

    Model answer

    During an interaction each body exerts an equal and opposite force on the other for exactly the same length of time, so the two impulses are equal and opposite, the two momentum changes are equal and opposite, and the total momentum is unchanged.

  4. 4

    Explain why momentum must be treated as a vector when the principle is applied.

    Model answer

    Momenta directed opposite ways partly or wholly cancel, so the total must be found by attaching signs to the directions; adding the magnitudes alone would give a total that is far too large.

  5. 5

    Does conservation of momentum still apply in a collision where kinetic energy is lost? Explain your answer.

    Model answer

    Yes; momentum is conserved in every interaction where no resultant external force acts, whatever happens to the kinetic energy, because the conservation follows from the equal and opposite forces of the impact and not from how energy is shared.

  6. 6

    Explain how a rocket accelerates in terms of conservation of momentum.

    Model answer

    The rocket ejects burnt gas backwards, giving that gas momentum in one direction, so the rocket must gain an equal momentum in the opposite direction in order to keep the total momentum of the system constant.

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