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Linear Momentum and Impulse

Impulse and the impulse–momentum equation

  • 3 things to know
  • Unit AS 1

Overview

Impulse–momentum equation, defining each symbol and its unit, words what the impulse–momentum equation says and what the sign of an impulse tells you.

What you need to know

Answer each one before you reveal it.

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Key term

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

Key term

State the unit of impulse and show that it is the same as the unit of momentum.

Key term

State in words what the impulse–momentum equation says.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define impulse.

    Model answer

    Impulse is the product of a force and the time for which that force acts, F × t, and it is a vector in the direction of the force.

  2. 2

    State the unit of impulse and show that it is the same as the unit of momentum.

    Model answer

    The unit is the newton second (N s); since 1 N = 1 kg m s⁻², one newton second is 1 kg m s⁻¹, which is the unit of momentum.

  3. 3

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

    Model answer

    The equation is Ft = mv − mu, where F is the constant resultant force in newtons, t the time for which it acts in seconds, m the mass in kilograms, u the initial velocity and v the final velocity in m s⁻¹.

  4. 4

    State in words what the impulse–momentum equation says.

    Model answer

    The impulse of the resultant force acting on a body is equal to the change in the momentum of that body.

  5. 5

    Show how Ft = mv − mu follows from F = ma.

    Model answer

    For uniform acceleration a = (v − u)/t, so substituting into F = ma gives F = m(v − u)/t, and multiplying both sides by t gives Ft = mv − mu.

  6. 6

    How is the impulse found when the force acting is not constant?

    Model answer

    The impulse is the area between the force–time graph and the time axis, which is equivalent to using the average force multiplied by the total contact time.

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