Solved: An elastic cord is 65 cm long when a weight of 75

Chapter 11, Problem 2

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QUESTION:

An elastic cord is 65 cm long when a weight of 75 N hangs from it but is 85 cm long when a weight of 180 N hangs from it. What is the spring" constantkof this clastic cord?

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QUESTION:

An elastic cord is 65 cm long when a weight of 75 N hangs from it but is 85 cm long when a weight of 180 N hangs from it. What is the spring" constantkof this clastic cord?

ANSWER:

Step 1 of 3

We use Hooke's law to determine the spring constant of the elastic cord which is given by dividing the increased weight with the increase in length. The extra force equals an increase in weight.

Given values

For simple harmonic motion, the restoring force is proportional to the displacement

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