A single conservative force = (6.0x – 12) N, where x is in meters, acts on a particle moving along...

A single conservative force = (6.0x – 12)  N, where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 27 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. (b) What is the maximum positive potential energy? At what (c) negative value and (d) positive value of x is the potential energy equal to zero?