A machine gun of mass 10,kg fires 20,g bullet | vedclass

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Question

(D) Given:Mass of the gun,$M = 10\,kg$Mass of each bullet,$m = 20\,g = 0.02\,kg$Number of bullets fired per minute,$n = 180$Velocity of each bullet,$v

Vedclass · Accepted Answer

$0.6$

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(D) Given:Mass of the gun,$M = 10\,kg$Mass of each bullet,$m = 20\,g = 0.02\,kg$Number of bullets fired per minute,$n = 180$Velocity of each bullet,$v = 100\,m s^{-1}$Rate of bullets fired per second,$n' = \frac{180}{60} = 3\,bullets/s$According to the law of conservation of linear momentum,the total momentum of the gun and the bullets must be zero.$M 	imes V + n' 	imes (m 	imes v) = 0$$10 	imes V + 3 	imes (0.02 	imes 100) = 0$$10 	imes V + 3 	imes 2 = 0$$10 	imes V = -6$$V = -0.6\,m/s$The magnitude of the recoil velocity is $0.6\,m/s$.

$A$ machine gun of mass $10\,kg$ fires $20\,g$ bullets at the rate of $180$ bullets per minute with a speed of $100\,m s^{-1}$ each. The recoil velocity of the gun is $.............\,m/s$.

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