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Spring Constant, Length; Work Done by Gravity and Compression

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One safety mechanism used in elevators consists of a giant spring located at the bottom of the elevator shaft. In one particular shaft, the spring has a spring constant of 8.00x10^4 N/m, and the elevator car weighs 8250 N.

a. Exactly 28.0 m above the spring, the resting elevator's cable snaps and the car falls to the bottom of the shaft. How fast is the elevator travelling when it first touches the spring?

b. If the spring starts out with a length of 3.00 m, how long is it at the moment the car stops?

c. Calculate the work done on the elevator (1) by gravity, up to the point the elevator first touches the spring; and (2) by the compression of the spring.

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Solution Summary

The solution provides elevator calculations including the spring constant, length; work done by gravity and compression.

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