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Question

A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is


A

ca+b.b

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B

aa+c.b

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C

a+bc.a

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D

a+ca.b

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Solution

The correct option is B

aa+c.b


Initially bullet moves with velocity b and after collision bullet get embedded in block and both move together with common velocity. By the conservation of momentum

(a×b)+0=(a+c)VV=aba+b


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