# Problem: A particle is constrained to move in one dimension along the exttip{x}{x} axis and is acted upon by a force given by large{vec{f F}(x)=-frac{k}{x^3}hat{f i}} where exttip{k}{k} is a constant with units appropriate to the SI system.Find the potential energy function U(x), if exttip{U}{U} is arbitrarily defined to be zero at x = 2.0 m, so that U(2.0) = 0.

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###### Problem Details

A particle is constrained to move in one dimension along the axis and is acted upon by a force given by where is a constant with units appropriate to the SI system.

Find the potential energy function U(x), if is arbitrarily defined to be zero at x = 2.0 m, so that U(2.0) = 0.