A woman bounces on a trampoline, going a little higher with each bounce. Explain how she increases the total mechanical energy.

Solution 8DQ Step 1: For the first bounce, she uses her muscular force upward and she will go up for a short distance, h. Suppose, the mass of the woman as “m”. We know that the acceleration due to gravity is “g”. The potential energy of the lady at a height “h” is, U = mgh Consider. for the initial jump, the energy spent by the muscles as “M” After the first jump, the energy acquired by the woman will be, E second jump + U This is represented as E second jumpause, this energy is used for the second jump. So, the height of jump will increase and it will be h + h. The potential energy acquired at maximum point will be, U ’ = mg ( h + h) The energy acquired for the 3rd jump will be, E 3rd M + U’