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Conservation of Linear Momentum
The law of conservation of linear momentum states that the total linear momentum of a closed system remains constant over time, if no external forces act on it.

Mathematical Expression
m1u1 + m2u2 = m1v1 + m2v2

Where:

m1 and m2 are the masses of the objects
u1 and u2 are the initial velocities
v1 and v2 are the final velocities

Key Points
1. Momentum is conserved in collisions and explosions.
2. The total momentum before the event is equal to the total momentum after the event.
3. This law applies to all types of collisions, including elastic and inelastic collisions.

Applications
1. Rocket propulsion
2. Collision analysis
3. Explosions

The conservation of linear momentum is a fundamental principle in physics, helping us understand and predict the behavior of objects in various situations.