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3 September, 13:31

A woman on a bicycle traveling at 10 m/s on a horizontal road stops pedaling as she starts up a hill inclined at 4.0º to the horizontal. If friction forces are ignored, how far along the hill does she travel before stopping?

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  1. 3 September, 13:41
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    The kinetic energy K = 0.5 * m * v² must be equal to the potential energy U = m * g * h.

    m mass

    v velocity

    h height

    g = 9.81m/s²

    The mass m cancels out:

    0.5 * v² = g * h

    Solve for height h and transform to distance traveled.

    (sin (4°) = height / distance)
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