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Question

The spacecraft of mass M moves with velocity V in free space at first, then it explodes breaking into two pieces. If after explosion a piece of mass m comes to rest, the other piece of spacecraft will have a velocity:

A
MV(Mm)
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B
MV(M+m)
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C
mV(Mm)
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D
mV(M+m)
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Solution

The correct option is A MV(Mm)
Initial momentum of the system Pi=MV

Let the mass of one part be m

Its velocity V=0

So, mass of other part m=Mm

Let its velocity be V.

Final momentum of the system Pf=mV+mV

Or Pf=0+(Mm)V=(Mm)V

Applying the conservation of linear momentum Pf=Pi

(Mm)V=MV

V=MVMm

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