A 5.7 kg object oscillates on a spring with an amplitude of 32.8 cm with a maximum acceleration of 9.3 m/s 2 . Find the total energy. Answer in units of J.

Explanation:

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

Where k is the spring constant and A is the amplitude of the oscillation. We can calculate k from the natural frequency of this system:

Now, we can calculate from the maximum acceleration:

Replacing (3) in (2):

Replacing this in (1):

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