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A ball bounces to 80% of its original height. Calculate the mechanical energy lost in each bounce.

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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 = \(\frac{0.20 mgh}{mgh}\) = 0.20

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