If the work required to stretch a spring 2 feet beyond its natural length is 15 ft-lb, how much...

Question:

If the work required to stretch a spring 2 feet beyond its natural length is 15 ft-lb, how much work is needed to stretch it 12 inches beyond its natural length?

Hooke's Law & the Spring Constant:

To find the spring constant, we apply the Hooke's law and then we need some known quantity , like the work done or the force required to stretch or compress the spring.n According to Hooke's law Work done in stretching or compressing the spring is given by {eq}k \frac{x^2}{2} {/eq}

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Let k is the spring constant. Thus work done is:

{eq}WD= \int_{0}^{2} k x dx\\ =\left [k \frac{x^2}{2} \right ]_{0}^{2}\\ =15=...

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.