What defines elastic potential energy (Ep)?

Elastic potential energy (Ep) is defined as the energy stored in an object when it is deformed, such as when a spring is stretched or compressed. This energy is a result of the work done on the spring to change its shape, and it can be calculated using the formula ( Ep = \frac{1}{2} k x^2 ), where ( k ) is the spring constant and ( x ) is the displacement from its rest position.

When a spring is either stretched or compressed, it stores energy that can be released when the force causing the deformation is removed, allowing the spring to return to its original shape. This characteristic of springs and similar objects highlights why option C accurately defines elastic potential energy, focusing specifically on the energy associated with the stored potential due to deformation.