A space craft of mass #39;M #39; and mov

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A space craft of mass $'M' $ and moving with velocity $ 'v' $ suddenly breaks in two pieces of same mass $m$. After the explosion one of the mass $ 'm'$  becomes stationary. What is the velocity of the other part of craft

A

$\frac{{Mv}}{{M - m}}$

B

$v$

C

$\frac{{Mv}}{m+M}$

D

$\frac{{M - m}}{m}v$

A space craft of mass $'M' $ and moving with velocity $ 'v' $ suddenly breaks in two pieces of same mass $m$. After the explosion one of the mass $ 'm'$  becomes stationary. What is the velocity of the other part of craft

By the principle of conservation of linear momentum,
$Mv = m{v_1} + m{v_2}$==>$Mv = 0 + (M - m){v_2}$==>${v_2} = \frac{{Mv}}{{M - m}}$