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Linear Momentum and Impulse

Momentum and its calculation

  • 3 things to know
  • Unit AS 1

Overview

Equation for momentum, defining each symbol and its unit and sign convention used when handling momentum along a straight line.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation for momentum, defining each symbol and its unit.

Key term

State the unit of momentum and show that it is equivalent to the newton second.

Key term

Explain why a direction must always be given when quoting a momentum.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define momentum.

    Model answer

    Momentum is the product of the mass of a body and its velocity, and it is a vector quantity acting in the direction of the velocity.

  2. 2

    State the equation for momentum, defining each symbol and its unit.

    Model answer

    Momentum is p = mv, where p is the momentum in kilogram metres per second (kg m s⁻¹), m is the mass in kilograms and v is the velocity in metres per second.

  3. 3

    State the unit of momentum and show that it is equivalent to the newton second.

    Model answer

    The unit is kg m s⁻¹; since 1 N = 1 kg m s⁻², multiplying by a second gives 1 N s = 1 kg m s⁻¹, so the two units are the same.

  4. 4

    Explain why a direction must always be given when quoting a momentum.

    Model answer

    Momentum is a vector, so two bodies of equal mass and speed travelling in opposite directions have momenta that cancel rather than add, and only the stated direction distinguishes them.

  5. 5

    Explain the sign convention used when handling momentum along a straight line.

    Model answer

    One direction along the line is chosen as positive at the start, and any momentum directed the other way is entered into the calculation as a negative number.

  6. 6

    A car of mass 1200 kg travels due east at 15 m s⁻¹. Calculate its momentum.

    Model answer

    Using p = mv, p = 1200 × 15 = 1.8 × 10⁴ kg m s⁻¹ directed due east; checking back, 18 000 ÷ 1200 = 15 m s⁻¹, which is the velocity given.

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