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At x = (A)/(4), what fraction of the mec...

At `x = (A)/(4)`, what fraction of the mechanical energy is potential ? What fraction is kinetic ? Assume potential energy to be zero at mean position.

Text Solution

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The correct Answer is:
A
`E = (1)/(2)kA^(2)`
`U = (1)/(2)kx^(2) = (1)/(2)k((A)/(4))^(2)`
`= (1)/(16)((1)/(2)kA^(2))`
`= (1)/(16)E`
Hence, `(1)/(16)` fraction is potential energy and `(15)/(16)` fraction is kinetic energy.
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