Question

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

Answer 1

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