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Yes.
I'm not sure I understood your question correctly.
The spring force of a linear spring is quadratic: F= -kx^2.
Whoops. I don't see a way of deleting or editing my answer, but the spring force is linear: F=-kx. It's the associated elastic potential energy that is quadratic: E=(1/2)kx^2.
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Whoops. I don't see a way of deleting or editing my answer, but the spring force is linear: F=-kx. It's the associated elastic potential energy that is quadratic: E=(1/2)kx^2.