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Question

In a gravity free space, a man of mass M standing at a height h above the floor, throws a ball of mass m straight down with a speed u. When the ball reaches the floor, the distance of the man above the floor will be

A
h(1+mM)
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B
(1+Mm)h
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C
h
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D
mMh
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Solution

The correct option is A h(1+mM)
Applying Momentum Conservation
MV+mu(^j)=0
V=muM(+^j)
Time taken by ball to reach ground h=ut
t=hu (As q=0)
Therefore, distance covered by man =vt=mhM
Total height =h+mhM=h(1+mM)

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