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Question -

A shell of mass 0.020 kg is fired by a gunof mass 100 kg. If the muzzle speed of the shell is 80 m s–1, whatis the recoil speed of the gun?



Answer -

Mass of the gun, M = 100 kg

Mass of the shell, m =0.020 kg

Muzzle speed of the shell, v =80 m/s

Recoil speed of the gun = V

Boththe gun and the shell are at rest initially.

Initialmomentum of the system = 0

Final momentum of the system = mv – MV

Here,the negative sign appears because the directions of the shell and the gun areopposite to each other.

Accordingto the law of conservation of momentum:

Finalmomentum = Initial momentum

mv – MV = 0

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