Conservation of Momentum

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Conservation of Momentum
Subject: Physics
Paper 1
Section
Question
Level H&O
Note


The Principle of Conservation of Momentum states that in any collision between two objects, the total momentum before impact equals total momentum after impact, provided no external forces act on the system.

m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2

Note that if the two objects coalesce (stick together) after collision, then there is only one final velocity, and the above equation becomes m_1 u_1 + m_2 u_2 = (m_1 + m_2)v_3

Contents

Applications of the principle

  • Collisions (ball games)
  • Acceleration of aircraft
  • Jet aircraft

Examples

Firing a gun

Before the rifle was fired there was no momentum. After the rifle was fired there was the momentum of the bullet going forward (small mass by high velocity) which equalled the momentum of the rifle going backwards (big mass by small velocity). Because they were moving in opposite directions one was positive while the other was negative so their total was again zero.

Launching a rocket

The same analysis applies to a rocket ship in space firing gas to move. In this case the small mass is the gas going in the opposite direction to the ship. This occasionally gets asked in exams.

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