A person stands on a scale inside an elevator at rest. The scale reads 800N. a.

Question

A person stands on a scale inside an elevator at rest. The scale reads 800N. a. What is the person's mass? b. The elevator accelerates upward momentarily at therate of 2m/s^2.What does the scale read then? c. The elevator then moves with a steady speed of5m/s. What does the scale read? Please work these out so I understand them better. Thank you so much. A person stands on a scale inside an elevator at rest. The scale reads 800N. a. What is the person's mass? b. The elevator accelerates upward momentarily at therate of 2m/s^2.What does the scale read then? c. The elevator then moves with a steady speed of5m/s. What does the scale read? Please work these out so I understand them better. Thank you so much.

Explanation / Answer

(a)     When elevator is at rest, then scale reading =True weight                                                             800 = M g                               Mass of the person, M = 800 / 9.8                                                                    = 81.63 kg (b)     Acceleration, a = 2 m/s^2     Reading of scale, W ' = M ( g + a )                                     = 81.63 ( 9.8 + 2 )                                     = 963.3 N (c)     Steady speed, V = 5 m/s     Acceleration, a = 0 m/s^2     Reading of scale = True weight                              = 800 N

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