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Newton’s Laws of Motion and Momentum

Force as rate of change of momentum

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on Newton's second law in terms of momentum, resultant force as rate of change of momentum, when F = ma applies, and how airbags and longer collision times reduce force.

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Answer each one before you reveal it.

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Numbers

How is resultant force related to momentum, and what equation links them?

Key term

How is resultant force related to the rate of change of momentum?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why is F = ma considered a special case of the momentum form of Newton's second law?

    Model answer

    Because it only applies when mass is constant; the general form F = Δp/Δt also accounts for situations where mass changes.

  2. 2

    State Newton's second law of motion in terms of momentum.

    Model answer

    The rate of change of momentum of an object is directly proportional to the resultant force acting on it and occurs in the direction of that force.

  3. 3

    According to Newton's second law, in which direction does the change in momentum occur?

    Model answer

    In the direction of the resultant force.

  4. 4

    How is resultant force related to the rate of change of momentum?

    Model answer

    The resultant force acting on an object equals the rate of change of its momentum.

  5. 5

    Write the equation linking resultant force to change in momentum and define each term.

    Model answer

    F = Δp/Δt, where F is resultant force, Δp is change in momentum, and Δt is the time interval.

  6. 6

    Calculate the force when change in momentum = 267 kg m s⁻¹, time interval = 8.64 s.

    Model answer

    Force = 267 ÷ 8.64 = 30.9 N.

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