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It took 1800 J of work to stretch a spring from its natural length of 2m to a length of 5m. Find...

Question:

It took 1800 J of work to stretch a spring from its natural length of 2m to a length of 5m. Find the spring's force constant.

Work Required in Stretching a Spring:

Consider a spring with stiffness ({eq}\displaystyle k {/eq}) being stretched from its natural length a to a length b. The force required to do this will be given by the function {eq}\displaystyle f(x)=kx {/eq}. And the total work done to stretch the spring will be given by,

$$\displaystyle \text{ Work done }=\int_{a}^{b}f(x) \ dx $$

Answer and Explanation:

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The work done by the spring in stretching from its natural length of 2m to the length of 5m is given to be 1800J. Let the stiffness (spring force...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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