A bullet of mass m is fired from a rifle of m | vedclass

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(B) Given that,mass of the bullet $= m$. Mass of the rifle $= M$. Velocity of the bullet $= v$. Let the velocity of the rifle be $v_r$. According to t

Vedclass · Accepted Answer

$v_r = \frac{-m}{M} v$

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(B) Given that,mass of the bullet $= m$. Mass of the rifle $= M$. Velocity of the bullet $= v$. Let the velocity of the rifle be $v_r$. According to the law of conservation of linear momentum,the total initial momentum is equal to the total final momentum. Since the system (bullet + rifle) is initially at rest,the initial momentum is $0$. Therefore,$m v + M v_r = 0$. Rearranging the equation to solve for $v_r$: $M v_r = -m v$ $v_r = -\frac{m}{M} v$. The negative sign indicates that the recoil velocity of the rifle is in the opposite direction to the velocity of the bullet.

$A$ bullet of mass $m$ is fired from a rifle of mass $M$. If $v$ is the velocity of the bullet,the velocity acquired by the rifle is:

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