Two springs A and B are identical but A is harder than B(kA>kB). On which spring more work will be done if: (a)They are stretched through the same distance (b)They are stretched by same force?
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Solution
Given kA>kB
Case (a) Stretched through same distance x.
Work done by spring A , WA=12kAx2
Work done by spring B , WB=12kBx2
∴WA>WB
Case (b) Stretched by same force F
Let spring A is stretched by xA and spring B is stretched by xB.