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For example , at what displacement the k...

For example , at what displacement the kinetic is eqal to the potential energy ?
Hint `: U = (1)/(2) kx^(2) , K = (1)/(2) (A^(2) - x^(2))`
`U = K`

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`U = (1)/(2) kx^(2) ,k= (1)/(2) k (A^(2) -x^(2))`
So ,
`implies x^(2) = A^(2) -x^(2)`
`implies x= +- (A)/( sqrt(2))`
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