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 | 19th Oct, 2021, 09:43: PM

Expert Answer:

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


Answered by Thiyagarajan K | 19th Oct, 2021, 10:06: PM

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