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An elastic spring of unstretched length ...

An elastic spring of unstretched length `L` and force constant `K` is stretched by amoun t `x` .It is further stretched by another length `y` The work done in the second streaching is

Text Solution

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Initial potential energy `= U_(i) = 1/2 kx^(2)`
Final potential energy `U_(f) = 1/2 k (x + y)^(2)`
Work done `W = U_(f) - U_(i) = 1/2k(x+y)^(2)- 1/2 kx^(2)`
`W = 1/2 kx (2x + y)`
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