Elastic potential energy
Elastic potential energy is Potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring.
Elastic potential energy is equal to the force times the distance of movement.
Elastic potential energy = force x distance of displacement.
W = Fs
W = elastic potential energy, in Joules
F = force, in Newtons
s = displacement, m
Because the force is = spring constant x displacement, then the Elastic potential energy = spring constant x displacement squared.
F = 1/2 ks
k = spring constant, Newtons/m
So W = (1/2 ks)s
W = 1/2ks2 = PE