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Explain how the energy of an object with mass m = 2 kg attached to a...

Explain how the energy of an object with mass m = 2 kg attached to a spring with constant k = 19.9 N/m changes when its amplitude doubles from 9 cm to 18 cm.

The energy  ---Select--- quadruples changes to a quarter stays unchanged changes to half doubles when amplitude doubles.

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Answer #1

Let us say that the amplitude is A, then we can calculate the total energy in the system as,

Here we can see that the energy is dependent on the square of amplitude. Hence we can say that when the amplitude is doubled, the energy of the system is 4 times ie. quadrupled.

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