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A ball is dropped from a height, $h_1$, at Position A and rebounds to a lower height, $h_2$, at Position D as shown in the diagram below. Position B represents the location of the ball just before it lands and Position C is the location of the ball just after it leaves the ground. Assume the effect of air resistance on the ball is negligible.

What percent of the ball's energy is dissipated while the ball is in contact with the floor if $h_2$ is equal to $\frac{4}{5}h_1$?

A

$20\%$

B

$40\%$

C

$60\%$

D

$80\%$

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