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(A) According to the law of conservation of linear momentum,the total initial momentum is equal to the total final momentum.Initially,the rifleman and

Vedclass · Accepted Answer

$0.8$

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(A) According to the law of conservation of linear momentum,the total initial momentum is equal to the total final momentum.Initially,the rifleman and the bullets are at rest,so the initial momentum is $0$.Let $M = 100\,kg$ be the mass of the rifleman and rifle,$n = 10$ be the number of bullets,$m = 10\,g = 0.01\,kg$ be the mass of each bullet,and $v_b = 800\,ms^{-1}$ be the muzzle velocity of each bullet.Let $V$ be the recoil velocity of the rifleman.The final momentum of the system is $M 	imes V + n 	imes m 	imes v_b = 0$.Substituting the values: $100 	imes V + 10 	imes 0.01 	imes 800 = 0$.$100 	imes V + 80 = 0$.$100 	imes V = -80$.$V = -0.8\,ms^{-1}$.The magnitude of the velocity attained by the rifleman is $0.8\,ms^{-1}$ in the direction opposite to the bullets.

$A$ rifleman,who together with his rifle has a mass of $100\,kg$,stands on a smooth surface and fires $10$ shots horizontally. Each bullet has a mass of $10\,g$ and a muzzle velocity of $800\,ms^{-1}$. The velocity which the rifleman attains after firing $10$ shots is $..........\,ms^{-1}$.

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