A bullet of mass 30g is Fired from on of gun 9 kg iF the velocity of bullet is 400m/s then the recoil velocity of the gun will be
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Mass of bullet, m=100g=1000100kg=101kg
Velocity of bullet, v=100ms−1
Mass of gun, M=20kg
Let recoil velocity of gun =V
Before firing, the system (gun+bullet) is at rest, therefore, initial momentum of the system =0
Final momentum of the system = momentum of bullet + momentum of gun
=mv+MV=101×100+20V=10+20V
Applying law of conservation of momentum, Final momentum = Initial momentum
i.e., 10+20V=0
20V=−10
or V=−2010=−0.5ms−1.
Negative sign shows that the direction of recoil velocity of the gun is opposite to the direction of the velocity of the bullet.
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in this the whole game is of the conservation of momentum ..
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