Question
Asked Dec 4, 2019
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A 95.0 kg person stands on a scale in an elevator. What is the "apparent weight" when the elevator is:

a. accelerating upwards with an acceleration of 1.80 m/s^2

b. moving upward at a constant speed

c. accelerating downwards with an acceleration of 1.30 m/s^2

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Expert Answer

Step 1

Write the expression for apparent weight when the elevator is accelerating upwards.

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Given that the mass of the person is M =95.0kg Upward acceleration of the elevator , a =1.80m/s? Expression for apparent weight when the elevator is accelerating upwards is given by N =m(g+a) [Nis the apparent weight ] N=(95.0kg)(9.8m/s² +1.80m/s²) N =1102N (a) The apparent weight when the elevator is accelerating upwards is 1102 N.

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Step 2
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Since the elevator is moving with constant velocity , the acceleration of the elevator is zero. Expression for apparent weight when the elevator is moving with constant velocity [Nis the apparent weight ] N =mg N=(95.0kg)(9.8m/s³) N = 931N (b) The apparent weight when the elevator is moving with constant velocity is 931N

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Science

Physics

Newtons Laws of Motion

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