EXAMPLE 1: POTENTIAL ENERGY
Calculate the potential energy of a constant force
Since F is constant, then are constant. V is a function of (x,y,z). Therefore
Note that the constant of integration is not a real constant but is a function of y and z.
Substitution of (4) into (2) GIVES
Substitution of (5) into (3) gives
Therefore, the potential energy of a constant force