Question

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


A)MV(M-m)

B)MV(M+m)

C)mV(M-m)

D)mV(M+m)




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Answer 1

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Jahnvi97

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before explosion,

mass of space craft = M

velocity = V

momentum = MV

after explosion,

mass of one part = m

velocity = 0

mass of other part = M-m

velocity = v = ?

momentum = m-0 + (M-m)v =(M-m)v

conserving momentum,

MV = (M-m)v

⇒ v = MV/(M-m)

∴ Velocity of other part is MV/(M-m)

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