A cyclist is standing still at the top of a hill and then begins to coast down the hill. The mass of the cyclist and bicycle is 64 kg total.

Question

A cyclist is standing still at the top of a hill and then begins to coast down the hill. The mass of the cyclist and bicycle is 64 kg total. The cyclist’s gravitational potential energy is converted into kinetic energy with an efficiency of 52%. What is her speed when she reaches a point that is a vertical distance of 10 m lower than the point at which she started? Show all your work.

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Tryphena 5 years 2021-08-06T02:30:04+00:00 1 Answers 53 views 0

Answers ( )

  1. phucdien
    0
    2021-08-06T02:31:15+00:00
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    Answer:

    10.1 m/s

    Explanation:

    52% of the potential energy is converted to kinetic energy.

    0.52 PE = KE

    0.52 mgh = ½ mv²

    0.52 gh = ½ v²

    v = √(1.04 gh)

    v = √(1.04 × 9.8 m/s² × 10 m)

    v = 10.1 m/s

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