# Eight and one-half foot-pounds of work is required to compress a spring 2 inches from its natural...

## Question:

Eight and one-half foot-pounds of work is required to compress a spring 2 inches from its natural length. Find the work required to compress the spring an additional one-half inch.

## Work Done:

Per the Hooke's law, the force required to stretch or compress a spring by a given length is proportional to the length. Once we know the force required, we are able to calculate the work done in compressing the spring by integrating the force over the length the spring is compressed.

## Answer and Explanation:

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To hold a spring compressed {eq}x\mathrm{\,ft} {/eq} less than its natural length, a force {eq}F=kx {/eq} is required, where {eq}k {/eq} is the...

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#### Learn more about this topic:

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.