Q.

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

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a

ca+b⋅b

b

aa+c⋅b

c

a+bc.a

d

a+ca⋅b

answer is B.

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Detailed Solution

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+cV⇒V=aba+c
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A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is