A space craft of mass M is moving with velocity V and suddenly ex… - Vidyadip

MCQ

A space craft of mass $M$ is moving with velocity $V$ and suddenly explodes into two pieces. A part of it of mass m becomes at rest, then the velocity of other part will be

✓
$\frac{{MV}}{{M - m}}$
B
$\frac{{MV}}{{M + m}}$
C
$\frac{{mV}}{{M - m}}$
D
$\frac{{(M + m)V}}{m}$

✓

Answer

Correct option: A.

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

a
(a)After explosion m mass comes at rest and let Rest $(M - m)$ mass moves with velocity $v.$
By the law of conservation of momentum $MV = (M - m)v$ $⇒$ $v = \frac{{MV}}{{(M - m)}}$

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