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Mechanical energy lost due to friction

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"A 25.0 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 8.00 m, she is moving at a speed of 8.90 m/s. Calculate the mechanical energy lost due to friction (as heat, etc.)."

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The solution discusses the energy lost due to friction.

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The potential energy of the child at h1 is given by

PE1 = m g h1 = 25 * 9.8 * 20 = 4900 Joules This much amount of energy must be present throughout the journey. ...

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