I'm having problems with the work section of my calc book. This is the problem:(adsbygoogle = window.adsbygoogle || []).push({});

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 from 12 cm to 14 cm, what is the natural length of the spring?

I set up two equations:

6 J= Kx^2/2 evaluated at 10-L and 12-L

10 J= Kx^2/2 evaluated at 12-L and 14-L

I'm not sure what to do after the mess hell of algebra, I end up with a K and an L. Do I solve for K in one equation and plug it into the other?

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# Natural Length of a spring

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