Energy in Oscillation Video Lessons

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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 3/4 E? 

FREE Expert Solution

Total energy for a simple harmonic oscillator:

Etotal=U+K

Potential energy U = (1/2)kA2

Kinetic energy, K = (1/2) mv2

If the kinetic energy, K = (3/4)E, we have:

E=U+34EE-34E=UU=14E

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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 3/4 E? 

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