A bullet of mass $m$ and velocity $v$ is fired into a block of mass $M$ and stick to it. The final velocity of the system equals :

\frac{M}{M + m} v

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\frac{m}{m + M} v

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(\frac{m + M}{M}) v

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(\frac{M - m}{M}) v

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Solution

The correct option is D $\frac{m}{m + M} v$
Let the final velocity of both bullet and block be $v^{'}$
using conservation of momentum ,
$m v = (m + M) v^{'}$

$v^{'} = \frac{m v}{m + M}$

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A bullet of mass m and velocity v is fired into a block of mass M and stick to it. The final velocity of the system equals :

The correct option is D mm+Mv Let the final velocity of both bullet and block be v′using conservation of momentum ,mv=(m+M)v′v′=mvm+M

A bullet of mass $m$ and velocity $v$ is fired into a block of mass $M$ and stick to it. The final velocity of the system equals :

The correct option is D $\frac{m}{m + M} v$
Let the final velocity of both bullet and block be $v^{'}$
using conservation of momentum ,
$m v = (m + M) v^{'}$

$v^{'} = \frac{m v}{m + M}$