In short
Hooke's law says that the extension of a spring or a wire is proportional to the force stretching it, as long as the elastic limit is not passed: .
The spring constant is in and tells you how stiff the spring is. The graph of force against extension is a straight line through the origin until the limit of proportionality. Beyond the elastic limit the spring does not return to its original length. Hooke's law for a spring is the same idea as the proportional region of a stress-strain curve.
A spring with is pulled by a force of . Its extension is , or .
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