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9 February, 07:30

A child sleds down a frictionless hill with vertical drop h. At the bottom is a level stretch where the coefficient of friction is 0.27.

If she slides 19 m across the level stretch, what's h? Express your answer with the appropriate units.

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  1. 9 February, 07:50
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    Velocity at the bottom of height h

    = √2gh

    deceleration on rough horizontal surface

    = μg, μ is coefficient of friction

    =.27 x 9.8

    = 2.646 m / s²

    v² = u² - 2as

    0 = 2gh - 2 x 2.646 x 19

    h = 2 x 2.646 x 19 / 2 x 9.8

    = 5.13 m
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