In the Biomedical and Physical Sciences building at MSU there are 135 steps from the ground floor to the sixth floor. Each step is 16.6 cm t

Question

In the Biomedical and Physical Sciences building at MSU there are 135 steps from the ground floor to the sixth floor. Each step is 16.6 cm tall. It takes 5 minutes and 30 seconds for a person with a mass of 73.5 kg to walk all the way up. How much work did the person do?

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Phúc Điền 4 years 2021-07-19T07:22:51+00:00 1 Answers 35 views 0

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    2021-07-19T07:24:17+00:00

    Answer:

    W = 16.4 kJ

    Explanation:

    Given that,

    There are 135 steps from the ground floor to the sixth floor.

    Each step is 16.6 cm tall.

    The mass of a person, m = 73.5 kg

    We need to find the work done by the person. We know that,

    Work done = Fd

    Where

    d is the displacement, d = 135 × 0.166 = 22.41

    So,

    W = 73.5 × 10 × 22.41

    = 16471.35  J

    or

    W = 16.4 kJ

    So, 16.4 kJ is the work done by the person.

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