# 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,

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

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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...

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.