Conservation of Momentum (AQA GCSE Physics): Revision Note
Conservation of Momentum
The principle of conservation of momentum states that:
In a closed system, the total momentum before an event is equal to the total momentum after the event
A closed system means the energy within the system is constant and the absence of external forces (e.g. friction)
In other words:
The total momentum before a collision = The total momentum after a collision
A system is a certain number of objects under consideration
This can be just one object or multiple objects
Since momentum is a vector quantity, a system of objects moving in opposite directions (e.g. towards each other) at the same speed will have an overall momentum of 0 since they will cancel out
Momentum is always conserved over time
The diagram below shows two masses m with velocity u and M at rest (ie. zero velocity)

The momentum of a system before and after a collision
Before the collision:
The momentum is only of mass m which is moving
If the right is taken as the positive direction, the total momentum of the system is m × u
After the collision:
Mass M also now has momentum
The velocity of m is now -v (since it is now travelling to the left) and the velocity of M is V
The total momentum is now the momentum of M + momentum of m
This is (M × V) + (m × -v) or (M × V) – (m × v)
Worked Example
The diagram shows a car and a van, just before and just after the car collided with the van, which is initially at rest.

Use the idea of conservation of momentum to calculate the velocity of the van when it is pushed forward by the collision.
Answer:


Examiner Tips and Tricks
If it is not given in the question already, drawing a diagram of before and after helps keep track of all the masses and velocities (and directions) in the conversation of momentum questions.
You've read 0 of your 5 free revision notes this week
Sign up now. It’s free!
Did this page help you?