Plzz solve this question no 33

Dear student
The potential energy of a spring is the energy stored by a spring due to its compression.
According to Hooke's law, the restoring force produced in a spring is given by,
F=-KX
Where, k=Constant
x=Displacement produced
Now, the potential energy would be equal to the work done on the restoring system,
Therefore, P.E=W=F.dx
On integration, we getP.E.=-12kx2
If the work done by a force does not depends upon the initial and final point but depends upon the path taken, it is called a non conservative force.
Spring force is non conservative force because work done depends upon the actual path. 
For small displacement, spring force F=-kxThe elastic potential energy of the spring=Work done on it to deform it an amount xThus, V=-0x-kx dx=12kx2Here if the deformation increases from x1 to x2 during the motion, then the change in potential energy of the spring will be the difference between its final and initial values.V=12k(x22-x12)
Work done is equal to change in potential energy thus it is conservative force.
kindly post another question in different thread.
Regards

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