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6 February, 14:47

A person stands on a scale inside an elevator at rest. The scale reads 700 N.

a) What is the persons mass?

b) The elevator accelerates upward momentarily at the rate of 1.5 m/s squared. What does the scale read then?

c) The elevator than moves with a steady (uniform) speed of 4 m/s. What does the scale read?

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  1. 6 February, 16:09
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    a) The mass of the person, m = 71.43 kg

    b) The scale reading when elevator has an acceleration, W = 807.15 N

    c) The scale reading when elevator has constant speed, W = 700 N

    Explanation:

    Given data,

    The weight of the person inside the elevator, W = 700 N

    The upward acceleration of elevator, a = 1.5 m/s²

    The uniform speed of the elevator, v = 4 m/s

    a) The mass of the person,

    m = W / g

    = 700 N / 9.8 m/s²

    = 71.43 kg

    b) The weight of the person,

    W = mg + ma

    = 700 N + 71.43 kg x 1.5 m/s²

    = 807.15 N

    c) When the speed is constant,

    W = mg

    = 700 N

    The scale reading when the velocity is constant, W = 700 N
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