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
(a) $\frac{\mathrm{MV}}{\mathrm{M}-\mathrm{m}}$ (b) $\frac{\mathrm{MV}}{\mathrm{M}+\mathrm{m}}$ (c) $\frac{\mathrm{mV}}{\mathrm{M}-\mathrm{m}}$ (d) $\frac{(\mathrm{M}+\mathrm{m})\mathrm{V}}{\mathrm{m}}$
Text Solution
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After explosion m mass comes at rest and let Rest $\left(M - m\right)$ mass moves with velocity v.
By the law of conservation of momentum $MV = (M - m)v$ ⇒ ⇒ $\nu = \frac{MV}{(M - m)}$
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