A mass of 2.5kg is attached to a spring and the system is undergoing simple harmonic osciallyions with the frequncys of 3.0 Hz and an amplitude of 8.25 cm. What is the total mechanical enegry of the system?

Explanation:

The total mechanical energy of a mass-spring system is defined as:

Here k is the spring constant and A is the amplitude of the oscillations.

We can calculate the spring constant using the natural frequency of this system:

Recall that , so:

Finally, we calculate E:

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