A 38.5 kg man is in an elevator accelerating downward. A normal force of 343 N pushes up on him. What is his acceleration?

Question

A 38.5 kg man is in an elevator
accelerating downward. A normal
force of 343 N pushes up on him.
What is his acceleration?

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Phúc Điền 3 years 2021-09-03T18:15:08+00:00 1 Answers 100 views 0

Answers ( )

    0
    2021-09-03T18:16:19+00:00

    Answer:

    F = m*(g – a) →

    a = g – F/m = 0.891 m/s² downward

    Explanation:

    If elevator was stationary, the normal force of elevator floor on man* would be = mg

    mg = (38.5)(9.81) ≈ 378 N.

    If elevator is accelerating downward the floor is accelerating away from man and so the normal force will be less than man’s weight by: 378 – 343 = 35 N.

    Hope this helps.

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