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# NEET Class neet Answered

A gun of mass M fires a shot of mass m.the ratio of energy of recoil of the gun to the energy of the shotis
Asked by reebageorgetcr | 19 Oct, 2021, 09:43: PM
If v is velocity of shot , then recoil velocity V of gun is determined from momentum conservation

M × V = - m × v  ........................ (1)

where m is mass of shot and M is mass of gun.

Hence magnitude of recoil velocity V  = ( m / M ) v  ...................... (2)

Ratio of kinetic energy = [  (1/2) M V2 ] / [ (1/2 ) m v2 ]  .................(3)

By substituting V from eqn.(2) , we get ratio of kinetic energy from eqn.(3) as

Ratio of kinetic energy = m / M

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