A 2500 kg elevator is suspended by a single cable, in which the tension is 30,000 N What is the weight of the elevator?

What is the net force on the elevator?

What is the acceleration of the elevator?

With mass 2500 kg, the elevator has weight

(2500 kg) g = (2500 kg) (9.80 m/s²) = 24,500 N

The net force on the elevator is 30,000 N - 24,500 N = 5500 N (because its weight pulls it downward, while the tension pulls upward).

The acceleration a of the elevator is obtained from Newton's second law,

(2500 kg) a = 5500 N

a = (5500 N) / (2500 kg)

a = 2.2 m/s²

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