A woman of mass m =82 kg rides in a elevator of mass M = 4078 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 = 33.4 m/s, find:
- T, the magnitude of the tension in the cable pulling the elevator upward: N
- w, the weight of the woman according to the scale: N
b) If the elevator now accelerates upward with magnitude a = 2.69 m/s2, find:
- T, the magnitude of the tension in the cable pulling the elevator upward: N
- w, the weight of the woman according to the scale: N
c) If the elevator now accelerates downward with magnitude a = 5.3 m/s2, find:
- T, the magnitude of the tension in the cable pulling the elevator upward: N
- w, the weight of the woman according to the scale: N