Momentum (Oxford AQA IGCSE Physics)

Revision Note

Leander Oates

Expertise

Physics

Momentum

  • A moving object has momentum which is defined by the equation:

p space equals space m space cross times space v

  • Where:

    • p = momentum in kilogram metre per second (kg m/s)

    • m = mass in kilograms (kg)

    • v = velocity in metres per second (m/s)

  • This means that an object at rest (i.e. v = 0) has no momentum

  • Momentum keeps an object moving in the same direction

    • It is difficult to change the direction of an object that has a large momentum

  • Since velocity is a vector the momentum of an object is also a vector as it depends on the direction of travel

    • This means momentum can be either positive or negative

  • If an object has positive momentum, then an object travelling in the opposite direction will have negative momentum

How does the momentum of a ball change after a collision?

A ball of mass 60 g travels towards a wall at a velocity of 2 metres per second. After it rebounds off the wall,  its velocity is minus 2 metres per second
The momentum of the tennis ball is positive as it approaches the wall and negative after the collision as it moves in the opposite direction

Worked Example

Determine which object has the greatest momentum, the tennis ball or the brick.

Explain your answer.

A tennis ball is shown to have a mass of 60 g and a velocity of 75 metres per second. A brick is shown to have a mass of 3 kg and a velocity of 1.5 metres per second

 

Answer:

Step 1: Calculate the momentum of the tennis ball

p m × v

p = 0.06 × 75

p = 4.5 kg m/s 

Step 2: Calculate the momentum of the brick

p m × v

p = 3 × 1.5

p = 4.5 kg m/s

Step 3: Explain your answer

  • Both the tennis ball and the brick have the same momentum

  • Even though the brick has a much greater mass than the ball, the ball is travelling much faster than the brick

  • This means that on impact, they would both exert a similar force (depending on the time it takes for each to come to rest)

Exam Tip

The unit of velocity, m/s, is sometimes written as m s-1, therefore the unit of momentum is sometimes written as kg m s-1. You are not expected to know this for your exam but you may see some resources use this notation.

Which direction is taken as positive is completely up to you in the exam. In general, forwards, to the right, and upwards are taken as positive, and backwards, to the left, or down are taken as negative.

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Leander Oates

Author: Leander Oates

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.