I know that the work of a system is the rate that a force is translated across a certain distance, mathematically written as(adsbygoogle = window.adsbygoogle || []).push({});

when the force and/or position vector are not constant, and my understanding is that potential energy is the energy able to be translated to motion due to a conservative force. So my question is why is the potential energy of a spring

(I understand the derivation) but when the force and position are constant then the formula for work is just [PLAIN]http://upload.wikimedia.org/math/6/a/a/6aae8efcc88d5ea092cf032c93511b1b.png, [Broken] so by that definition the energy available due to an outside for is just W=kx^{2}, why is the second definition wrong?

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# Work done by a spring.

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