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In a gravity free space, a man of mass M...

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

Text Solution

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When the man throws the ball with velocity u, he recoils with velocity V.
`mu=MV`

`V=(mu)/M`
Time taken by the ball to reach the ground `t=h/u`
Distance moved by man in this time
`t=v.t =(mu)/M. h/u =m/M.h`
Height of man at the time the ball strikes the ground
is `H =h +m/M h, H=h (1+m/M)`
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