AIPMT 2010 Physics and Chemistry Paper

Since the man is in gravity free space, force on man + stone system is zero
Therefore centre of mass of the system remains at rest. Let the man goes xm above when the stone reaches the floor, then
Mman×x=M‌stone ‌×10
x=‌

0.5

50

×10
x=0.1m
Therefore final height of man above
floor =10+x
=10+0.1=10.1m