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A shell of mass 0.02kg is …

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A shell of mass 0.02kg is fired by a gun of mass 100 kg.If the muzzle speed of the shell is 80m/s.What is the recoil speed of the gun?
  • 1 answers

Gaurav Seth 5 years, 10 months ago

Given:
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, initial momentum of system will be zero.
According to the law of conservation of momentum,
Initial momentum=Final momentum
so,
0=mv-MV
∴v=mv/M
=0.020x80/100
=0.016m/s
∴recoil velocity of Gun=0.016m/s

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