Chapter 8, Problem 7P

(II) A particle is constrained to move in one dimension along the x axis and is acted upon by a force given by

$\stackrel{\to }{F}(x)=-\frac{k}{x^3}\hat{i}$

where k is a constant with units appropriate to the SI system. Kind the potential energy function U(x), if U is arbitrarily defined to be zero at x = 2.0 m, so that U(2.0 m) = 0.