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Question:
A shell of mass 0.02 kg is fired by a given of mass 100 kg . If the speed of the shell is 80 m/s . What is the recoil speed of the gun .
Answer:

Ans. m = 0.02 kg, M = 100 kg, v = 80 m/s

Let V be the recoil speed of the gun

According to the law of conservation of momentum,

Initial momentum = Final momentum

0 = mv + MV

V = - mv/M = - 0.02 x 80/100 = - 0.016 m/s

*Negative sign indicates that the gun moves backward as the bullet moves forward.

 

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