A bullet of mass 20 kg is fired by a gun of mass 100 kg. If the muzzle speed of the bullet is 80 ms-¹. What is the recoil velocity of the gun?
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A shell of mass 0.020kg is fired by a gun of mass 100kg. If the muzzle speed of the shell is 80ms−1. what is the recoil speed of the gun?
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Mass of gun M = 100kg
mass of shell m = 0.020kg
Velocity of shell v = 80m/s
Recoil velocity of Gun V=?
initial velocities of both gun and shell will be zero
so, the initial momentum of the system will be zero.
According to the law of conservation of momentum,
Initial momentum = Final momentum
so,
0=mv-MV
∴v=mv/M
= 1000.020×80
=0.016 m/s
∴recoil velocity of Gun=0.016m/s
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