Elastic potential energy results from a property called â€˜Elasticityâ€™ in matter. The property of elasticity is found to be maximum in solids and minimum in gases. An elastic material develops a restoring force when there is a deformation of any type, due to elasticity. This deformation may be linear as in the case of rods etc. In this case, deformation is called â€˜Linear Strainâ€™ and the restoring force is called â€˜Stressâ€™. In a voluminous object, the deformation is called â€˜Volume Strainâ€™. In the spring, the deformation is not linear but in the form of a torsional strain or shear strain. The wire making the coil of the spring twists. There is no increase in its total length.
The origin of restoring force in an elastic material is an inter-atomic bond which is also elastic. When atoms are displaced from their equilibrium position, they tend to occupy their equilibrium position to minimize their potential energy. This gives birth to a restoring force. Due to this force, work done to create deformation is stored as elastic potential energy. When the external force is removed, the restoring force helps a body to regain its original shape. In the process, the energy stored is released. The energy readily available in the form of mechanical energy is the same as the energy stored. It happens when the deformation is within a certain limit called â€™Elastic Limitâ€™. Beyond this limit, some deformation is permanent. So, all the elastic potential energy cannot be retrieved. Some energy is permanently left-back in the form of deformation. Sometimes, there is a loss of energy in the form of heat as in the case of rubber. In such cases too, elastic potential energy is not fully retrieved in the form of mechanical energy.
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