A woman stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale briefly reads only 0.64 of her regu

Question

A woman stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale briefly reads only 0.64 of her regular weight. Calculate the magnitude of the acceleration of the elevator.

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Khánh Gia 4 years 2021-07-19T14:18:23+00:00 1 Answers 145 views 0

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  1. thuthao
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    2021-07-19T14:19:52+00:00
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    Answer:

    The downwards acceleration is 3.53 m/s2.

    Explanation:

    Let the true weight is m g.

    The reading of the balance, R = 0.64 mg

    Let the acceleration is a.

    As the apparent weight is less than the true weight so the elevator goes down wards with some acceleration.

    Use Newton’s second law

    m g – R = m a

    m g – 0.64 m g = m a

    0.36 g = a

    a = 3.53 m/s2

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