Physics, asked by Anonymous, 11 months ago

derive an expression for the elastic potential energy of a streched spring.

Answers

Answered by ScarlettIsla
3

expression for the elastic potential

▶energy of a streched spring

The characteristic of a spring is that the force needed to stretch or compress a spring by an amount x is equal to k x and is in the direction opposite to the extension or compression. Here k is called the spring constant.

 

     Restoration Force of the spring (compression or tensile) Fs = - k x  = - external force F

 

     Work done by the external force in compressing the spring from x = 0 to x = L can be obtained by:

 is the energy given by the external force to the spring with an extension x. 

This energy is stored as potential energy in the spring.

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Answered by bhanu8533
5

HERE IS UR ANSWER

Hooke's Law, F = -kx, where F is the force and x is the elongation.

The work done = energy stored in stretched string = F.dx

The energy stored can be found from integrating by substituting for force,

and we find,

The energy stored = kx2/2, where x is the final elongation.

The energy density = energy/volume

= (kx2/2)/(AL)

=1/2(kx/A)(x/L) = 1/2(F/A)(x/L) = 1/2(stress)(strain)

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