Question
Question: A rope ladder of length L is attached to a balloon of mass M. As the man of mass m climbs the ladder...
A rope ladder of length L is attached to a balloon of mass M. As the man of mass m climbs the ladder into the balloon basket the balloon comes downs by a vertical distance s. Then, increase in potential energy of man divided by increase in potential energy of balloon is

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L – s
Answer
Explanation
Solution
Work done by man,
mgL = mg(L - s) + mgs
Where mg(L - s) is the increase in potential of energy of the man and (mgs)is the increase in potential energy of the balloon because the balloon would have been lifted up but for the climbing of the man.
∴ =