Question

A rope ladder with a length ℓ carrying a woman with a mass m at its end is attached to a balloon with a mass m. the entire system is at rest in equilibrium in the air. as the woman climbs up the ladder to reach balloon, the balloon descends by a height h.

Answer 1

The man climbs up the ladder. Hence,work done by man is mgl.This work done goes as increase in potential energy. The man climbs up the ladder and the balloon descends by height h.Thus, gain in potential energy by man is mgl - mghIf ?E is the change in potential energy of the balloon, then work done by man goes as gain in potential energy of himself and change in potential energy of balloon.mgl = mgl - mgh + ?EThus, ?E = mghThat is, the potential energy of balloon increases by mgh....

Answer 2

ANSWER
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1. THE MAN CLIMB THE LADDER

2. THAT IS WHY THE WORK DONE BY MAN IS NOT MGL

3. WHEN WORK DONE THE POTETIONAL ENERGY IS INCREASED