Question

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If you double the amplitude of a box on a spring, how would that affect the acceleration at maximum displacement?

The acceleration would double.

The acceleration would remain the same.

The acceleration would triple.

The acceleration would be cut in 1/2.

Answer 1

Answer:

  The acceleration would double

Explanation:

Assuming the same box and spring, the maximum acceleration is proportional to amplitude. When the amplitude doubles, the acceleration would double.

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A spring is generally considered to have a linear force vs. distance characteristic. Hence, doubling the distance doubles the force. The acceleration is proportional to the force.