Energy in Simple Harmonic Motion Video Lessons

Concept

# Problem: An object of mass m attached to a spring of force constant K 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 system's potential energy when its kinetic energy is equal to 3/4E?

###### FREE Expert Solution

The potential energy of a simple harmonic oscillator:

$\overline{){\mathbf{U}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{k}}{{\mathbf{A}}}^{{\mathbf{2}}}}$

Total energy:

E = KE + U

U = E - KE = E - 3/4E = 1/4E

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###### Problem Details

An object of mass m attached to a spring of force constant K 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 system's potential energy when its kinetic energy is equal to 3/4E?