Elastic Potential Energy.
Forces acting on a spring are conservative. Therefore a potential energy can be assignet to a spring. Assume that a spring is stretched a distance x by an external force, as shown in Figure
6.19. Work done by the external force in pulling the spring is stored as the elastic potential energy of the spring. The work done by external force equals the area under the force extension graph in Figure 6.20.
Wexternal=Area under F-x graph Wexternal=1/2(kx)(x) Wexternal=1/2kx2
This amount of work done by the external force is stored in the spring as the elastic potential energy of the spring. Therefore, the elastic potential energy stored in a compressed or stretched spring is given by.
PEspring=1/2 kx2 Wspring= -PEspring
In the absence of non – conservative forces, total mechanical energy of a system does not change.
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