PLEASE EXPLAIN STEP BY STEP!! A woman of mass m = 79.6 kg rides in a elevator of

Question

PLEASE EXPLAIN STEP BY STEP!!

A woman of mass m = 79.6 kg rides in a elevator of mass M = 4271 kg. The elevator is pulled by a cable, and the woman is standing on a scale (of negligible mass).

a) If the elevator moves upward at constant speed vup = 25.4 m/s, find:
-1) T, the magnitude of the tension in the cable pulling the elevator upward:
-2) w, the weight of the woman according to the scale:

b) If the elevator now accelerates upward with magnitude a = 5.42 m/s2, find:
-1) T, the magnitude of the tension in the cable pulling the elevator upward:
-2) w, the weight of the woman according to the scale:

c) If the elevator now accelerates downward with magnitude a = 3.98 m/s2, find:
-1) T, the magnitude of the tension in the cable pulling the elevator upward:
-2) w, the weight of the woman according to the scale:

Explanation / Answer

a) 1) T = 79.6 * 9.8 = 780.08 N 2) W = 780.08 N b) 1)T = 79.6 * (9.8 + 5.42 ) = 1211.512N 2) W = 1211.512N c) 1)T = 79.6 * (9.8 - 3.98) = 463.272 N 2)w = 463.272

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