An object attached to an ideal spring oscillates back and forth along the horizo

Question

An object attached to an ideal spring oscillates back and forth along the horizontal x-axis in simple harmonic motion. The amplitude of the oscillation is A.

When the displacement of the object is x=?A/2 , its kinetic energy...

...is 1/3 of the elastic potential energy of the spring
...is 2 times the elastic potential energy of the spring
...is 1/2 of the elastic potential energy of the spring
...is equal to the elastic potential energy of the spring
...is 3 times the elastic potential energy of the spring
...is 4 times the elastic potential energy of the spring
...is 1/4 of the elastic potential energy of the spring

Explanation / Answer

let total enegy be E=0.5*k*A^2

at x=-0.5A P.E=0.5*k*(0.5A)^2=E/4

K.E=E-E/4=3E/4=3*P.E

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