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Homework Statement
An object of mass m attached to a spring of force constant oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E.
What is the object's velocity when its potential energy is 2/3 E ?
Homework Equations
E=KE+PE_s
The Attempt at a Solution
1/2kA^2 = 2/3(1/2kA^2) + 1/3(1/2mv^2)
solving for v...
1/6mv^2 = 1/2kA^2 - 1/3kA^2
1/6mv^2 = 1/6 kA^2
mv^2 = kA^2
v= sqrt(k/m) A
But it's wrong...any help? Thanks!