MCAT Physics - Relationship between spring constant and amplitude

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BenZq

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Nova Physics states that there is no relationship between spring constant, k, and amplitude. (Ch. 11 question 17 answer) Is this true? I thought that F=kx relates the two, but maybe I'm wrong.
 
F=kx relates k and x to F, it does not relates k or x to each other.

k and x are independent variables, F is the dependent variable in that case.

The amplitude is determined on how far the spring is displaced, which is arbitrary. You can stretch a slinky and number of lengths, though it always has the same k value.
 
The only formula that I can think of that contains both k and Amplitude is at Max potential energy of a spring

Max PE=1/2kA^2

which is essentially the PE of a spring=1/2kx^2

Essentially Amplitude does not affect period or frequency, but it does affect Energy.
 
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