(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to stretch it from 12 cm to 14 cm, what is the natural length of the spring?

2. Relevant equations

Spring constant - f(x) = kx

[tex]\int[/tex]_{a}^{b}f(x)dx where a,b are initial and ending positions of the particle and f(x) is the work done in moving from a to b.

3. The attempt at a solution

I first tried a non-calculus solution by turning both statements into algebra problems...

6 = (10-x) + (12-x)

6 = 22 - 2x

-2x = 16

x = -8

10 = (10-x) + (14-x)

10 = 26-2x

-2x = 16

x = -8

Obviously this didn't get me anywhere..

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# Homework Help: Work, Springs

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