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Question:
A ball bounce to 80% of its original height.What fraction of its mechanical energy lost in each bounce
Answer:

Let Initial P.E. = mgh 

P.E. after first bounce = mg × 80% of h  = 0·80 mgh

P.E. lost in each bounce = 0·20 mgh 

∴ Fraction of P.E. lost in each bounce  = 0.20 mgh/mgh = 0.20

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