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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the More Conservation of Energy Problems concept. You can view video lessons to learn More Conservation of Energy Problems. Or if you need more More Conservation of Energy Problems practice, you can also practice More Conservation of Energy Problems practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Mundy's class at HARVARD.