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A hanging wire of length L is elongated ...

A hanging wire of length L is elongated by an amount l with a load M attached to its free end. Prove that the elastic potential energy stored in the wire is `1/2Mgl`.

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Elastic potential energy stored in the wire
`=1/2timesforcetimesi ncrease i n l eng th`
`=1/2timesMg times l=1/2Mgl`.
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