From the law of conservation of energy:

$\overline{){\mathbf{P}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{i}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{i}}}{\mathbf{=}}{\mathbf{P}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{f}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{f}}}}$

The amount of energy *E* dissipated by friction by the time the block stops is the same as the initial total energy of the block with respect to the ground.

Find the amount of energy *E* dissipated by friction by the time the block stops.

Express your answer in terms of some or all the variables *m*, *v*, and *h* and any appropriate constants.

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