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(a) An elevator of mass m moving upward has two forces

acting on it: the upward force of tension in the cable and

the downward force due to gravity. When the elevator is

accelerating upward, which is greater, T or w? (b) When

the elevator is moving at a constant velocity upward,

which is greater, T or w? (c) When the elevator is moving

upward, but the acceleration is downward, which

is greater, T or w? (d) Let the elevator have a mass of

1 500 kg and an upward acceleration of 2.5 m/s2. Find T.

Is your answer consistent with the answer to part (a)? (e)

The elevator of part (d) now moves with a constant up-

ward velocity of 10 m/s. Find T. Is your answer consistent

with your answer to part (b)? (f) Having initially moved

upward with a constant velocity, the elevator begins to ac-

celerate downward at 1.50 m/s2. Find T. Is your answer

consistent with your answer to part (c)?

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