The elastic potential energy stored in a spring of force constant k is
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x=displacement of spring from mean position
k=force constant of spring
F=Force applied on spring
F=kx
Elastic potential energy stored in spring(E)=Fdx
dE=kxdx
(integration)dE=(integration)kxdx
E=kx^2/2
E=1/2×k×x^2
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Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring. It is equal to the work done to stretch the spring which depends on the spring constant k and the distance stretched.
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