A single conservative force F = (8.0x - 12)i N where x is in meters, acts on the particle moving all along the x-axis.
The potential energy U related with this force is assigned a value of 23 J at x = 0.
(i) Write down an expression for U as a function of x, having U in joules and x in meters.
(ii) Determine the maximum positive potential energy?
(iii) Determine at what negative value of x is the potential energy equivalent to zero?
(iv) Determine at what positive value of x is the potential energy equivalent to zero?