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4PH1

Momentum

Forces & Motion · 1 question type

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4PH1 Topics

Movement & Position12%
Forces, Movement & Changing Shape14%
Momentum10%
  1. Calculating Momentum
  2. Conservation of Momentum
  3. Force and Rate of Change of Momentum
  4. Newton's Third Law
  5. Momentum and Safety Features
Moments7%

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High (≥14%)
Above avg (10 to 13%)
Average (<10%)

Exam Frequency Analysis

Past paper frequency (2018 to 2024)

This topic accounts for approximately 10% of your exam marks.

stable
Medium
Stable10%

Conservation of momentum and impulse calculations appear consistently across both papers.

What momentum is

  • Momentum is a property carried by every moving object, telling you how hard it would be to stop or to turn
  • A heavier object moving at the same speed has more momentum than a lighter one; the same object moving faster has more momentum than when it was moving slowly
  • A stationary object has zero , so at v = 0, p = 0

The equation

p = m × v

  • where:
    • p = momentum (kg m/s)
    • m = mass (kg)
    • v = velocity (m/s)
  • The SI unit follows from the equation: kilograms × metres per second → kg m/s

Momentum is a vector

  • Velocity carries a direction, and momentum is mass × velocity, so momentum is a vector quantity that points the same way the object is moving
  • When working with momentum on a straight line:
    • Pick one direction as positive (rightwards and upwards are the usual conventions)
    • The opposite direction is then negative
    • A momentum that comes out negative simply means the object is moving the opposite way to the direction you chose as positive

When momentum changes

  • An object's momentum changes whenever any of the following happen:
    • its velocity increases or decreases (any acceleration along the line of motion)
    • its direction of travel changes (which is also an acceleration, even at constant speed)
    • its mass changes (such as a rocket burning off fuel)
Worked example

Calculating momentum: p = mv

A 3.0 kg ball rolls along a track at 8.0 m/s.

Solution:

  • Recall the formula: p = m × v
  • Substitute: p = 3.0 × 8.0
  • p = 24 kg m/s (in the direction of motion)