### Work Done Stretching a Spring Using Hooke's Law

How to use Hooke's Law to calculate the work done in stretching a spring

In this video, we solve the following problem. We suggest attempting the problem before watching the video, and you can click below to reveal the solution.

**Problem:** Suppose a spring has natural length of 3 ft and it takes 10 ft-lb to stretch it from 5 ft to 8 ft.

- How much work is required to stretch the spring from 4 ft to 7 ft?
- How far beyond its natural length would a force of 3 lb keep the spring stretched?

Reveal Answer

- 150/21 ft-lb
- 63/20 ft

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How to calculate the work done in lifting up a rope possibly with a mass

Explaining how to use integration to calculate the work done pumping water out of a tank

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