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A bullet of mass A and velocity B is fri...

A bullet of mass A and velocity B is fried into a block of mass C and sticks to it. The final velocity of the system equals

A

`(A+B)/C A`

B

`A/(A+C)B`

C

`(A+C)/B`

D

`A/(A+B)B`

Text Solution

Verified by Experts

The correct Answer is:
B
By the principle of conservation of linear momentum ,
`m_1u_1+m_2u_2=(m_1+m_2)v`
`thereforem_1times40+m_2times0=(m_1+m_2)30`
`therefore40m_1=30m_1+30m_2`
`10m_1=30m_2 thereforem_1/m_2=30/10=3/1`
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