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A bullet of mass a and velocity b is fir...

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

`(M)/(m+M).v`

B

`(m)/(m+M).v`

C

`(m+M)/(m).v`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
The situation given in the question is an example of perfectly inelastic collision in which a bullet after sticking to a block behaves as a single body
`mv=(m+M)v^(')`
`v^(') = (m/(m+M))v`
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Knowledge Check

  • A bullet of mass 'm' and velocity 'a' is fired in to a large block of wood of mass 'm'. The final velocity of the system is द्रव्यमान 'm' और वेग '' की एक गोली द्रव्यमान 'm' के लकड़ी के बड़े ब्लॉक में दागी जाती है। सिस्टम का अन्तिम वेग क्या होगा?

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