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29 May, 20:50

For a rope obeying Hooke's law show that the elastic potential energy stored in the rope is given by

E=1/2kx^2

where k is the elastic spring constant and x is the extension.

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  1. 29 May, 23:28
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    The average force can be calculated as F/2, where

    F = kx

    Therefore, substituting this in to the equation for energy:

    Energy = Force * Distance

    Energy = F/2 * x

    Energy = kx/2 * x

    Energy = 1/2 kx^2
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