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## Main Question or Discussion Point

Why is it that the equation for work done to stretch a spring is

W = 1/2k(x

while the work done by a spring on an object is

W = 1/2k(x

That is, how come it's x

W = 1/2k(x

_{2}^{2}-x_{1}^{2})while the work done by a spring on an object is

W = 1/2k(x

_{1}^{2}-x_{2}^{2}) ?That is, how come it's x

_{2}^{2}-x_{1}^{2}for the first case, and x_{1}^{2}-x_{2}^{2}for the second?