Question

1. Derive Mathematical expression for law of conservation of momentum.


2. Define recoil velocity. Derive the formula for recoil velocity of gun.​

Answer 1

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Laws of conservation of momentum:

During any collision the total momentum before collision is always equal to the total momentum after collision.

mathematical expression: Mu +Mu =mv+mv

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Recoil velocity: It is in attachment.

Answer 2

Newton's third law states that for a force applied by an object A on object B, object B exerts back an equal force in magnitude, but opposite in direction. This idea was used by Newton to derive the law of conservation of momentum. ... B=m_{2}(v_{2}-u_{2}) (change in momentum of particle B)