A 28.0 kg child slides down a long slide in a playground. She starts from rest a

Question

A 28.0 kg child slides down a long slide in a playground. She starts from rest at a height h1 of 20.00 m. When she is partway down the slide, at a height h2 of 12.00 m, she is moving at a speed of 7.40 m/s.

Calculate the mechanical energy lost due to friction (as heat, etc.).

Calculate the child's total energy at each position. If this were a conservative system, these two quantities would be equal. Since it is not a conservative system, how would you calculate the energy lost?

Calculate the child's total energy at each position. If this were a conservative system, these two quantities would be equal. Since it is not a conservative system, how would you calculate the energy lost?

Explanation / Answer

Here,    Final kinetic energy + work done by friction = loss in gravitational potential energy

=>        1/2 * 28 * 7.402   +   work done by friction = 28 * 9.8 * (20 - 12)

=>     work done by friction =   1428.56 J

=>   the mechanical energy lost due to friction = 1428.56 J

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