A bullet of mass a moving with velocity b str | vedclass

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Question

(B) According to the principle of conservation of linear momentum,the total momentum before the collision is equal to the total momentum after the col

Vedclass · Accepted Answer

$\frac{ab}{a + c}$

Vedclass · Answer

(B) According to the principle of conservation of linear momentum,the total momentum before the collision is equal to the total momentum after the collision.Let $V$ be the final velocity of the block-bullet system.Initial momentum of the system = (mass of bullet $	imes$ velocity of bullet) + (mass of block $	imes$ velocity of block) = $a 	imes b + c 	imes 0 = ab$.Final momentum of the system = (mass of bullet + mass of block) $	imes$ final velocity = $(a + c)V$.Equating the initial and final momentum: $ab = (a + c)V$.Therefore,the velocity of the block is $V = \frac{ab}{a + c}$.

$A$ bullet of mass $a$ moving with velocity $b$ strikes a block of mass $c$ and gets embedded in it. Find the velocity of the block.

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