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Questions  

When a force is applied to a spring of force constant K, elongation produced in the spring is x. When the force is slowly increased to twice is present value, work done on the spring will be 

a
12Kx2
b
Kx2
c
3Kx22
d
2Kx2

detailed solution

Correct option is C

F=K·x, 2F=K·x1⇒x1=2FK∴ Work done =12Kx12-12Kx2=12K2FK2-12K·FK2=3F22K=3(Kx)22K=32Kx2

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Similar Questions

Two similar springs P and Q have spring constants Kp and KQ such that Kp > KQ. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.


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