Question

derivation of potential energy

Answer 1

Derivation of the equation of PotentialEnergy:
Let the work done on the object against gravity = W
                 Work done, W = force × displacement
                 Work done, W  = mg × h
                 Work done, W = mgh

Since work done on the object is equal to mgh, an energy equal  to mgh units is gained by the object . This is the potential energy (Ep) of the object.
                              Ep = mgh

Answer 2

the potential difference between two points is when 1joule of work is done to move 1coulomb of charge