From the law of conservation of energy:
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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Based on our data, we think this problem is relevant for Professor Mundy's class at HARVARD.