A shell of mass 0.02 kg is fired by a gun of mass 100 kg If the muzzle speed of the shell is 60 m/s, 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 = 60m/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
=
100
0.020×60
= 1.2m/s
∴recoil velocity of Gun=1.2m/s
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