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Mechanics

Linear momentum and its conservation

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Overview

Recall questions on the definition and unit of momentum, why a direction must be fixed first, and how conservation follows from Newton's laws.

What you need to know

Answer each one before you reveal it.

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Numbers

How is linear momentum defined and measured, and what does the principle of conservation of momentum state?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is the linear momentum of a body defined, and what is its defining equation?

    Model answer

    Momentum is the product of the mass of a body and its velocity, p = mv.

  2. 2

    What is the SI unit of momentum?

    Model answer

    The unit is kg m s⁻¹.

  3. 3

    Is momentum a scalar or a vector, and what follows from your answer?

    Model answer

    It is a vector, so a direction must always be given and momenta in opposite directions are given opposite signs.

  4. 4

    What does the principle of conservation of linear momentum state?

    Model answer

    The total momentum of a system stays constant provided no resultant external force acts on it.

  5. 5

    How does conservation of momentum follow from Newton's third law of motion?

    Model answer

    The two interacting bodies exert equal and opposite forces on each other for the same length of time, so they experience equal and opposite changes of momentum which cancel.

  6. 6

    How does Newton's second law also require momentum to be conserved in an isolated system?

    Model answer

    With no resultant external force there can be no rate of change of the system's total momentum, so that total must stay the same.

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