# A force of 19 lb is required to hold a spring stretched 3 inches beyond its natural length. How...

## Question:

A force of 19 lb is required to hold a spring stretched 3 inches beyond its natural length. How much work is done in stretching it from its natural length to 8 inches beyond its natural length?

## Hooke's Law & the Spring Constant:

The force applied to the spring is directly proportional to the length stretched of the spring. The formula is {eq}F=kx {/eq} The work done by this force is given by {eq}k\frac{x^2}{2} {/eq} Thus to determine k which is the spring constant, we need to know the force or work done.

## Answer and Explanation:

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.