A body moving along the x-axis is subject to a force repelling it from the origin, given by F = kx. (a) Find the potential energy function U(x) for the motion and write down the conservation of energ

A body moving along the x-axis is subject to a force repelling it from the origin, given by F = kx.

(a) Find the potential energy function U(x) for the motion and write down the conservation of energy solution.