A gun weighing 10 kg fires a bullet of mass 0.05kg with a velocity of 500m/s.What us the recoil velocity of gun ? What is the resultant momentum of the system before firing and after firing
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Given the mass of the gun, M = 10 kg,
mass of the bullet, m = 0.05 kg
Speed of the bullet, v = 500 m/s.
Let the velocity of recoil of the gun = V
Using conservation of momentum, we get
Momentum after = momentum before
MV – mv = 0 (as initial momentum was zero)
or, MV = mv
or, 10*V = 500*0.05
or, V = 25/10 = 2.5 m/s
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