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Hooke's Law

Hooke's Law states that the force needed to stretch a spring is directly proportional to the extension of the spring up to the limit of proportionality.

F = kΔL

where ΔL is change in length.When you stretch a rubber band or spring the force needed to stretch the object is directly proportional to the extension provided the limit of proportionality is not exceeded. of the object. A force-extension graph will give a straight line through the origin. The gradient is the force per unit extension and is known as k the spring constant.

Elastic Limit

If the spring is stretched beyond this limit it does not regain its initial length when the force is removed.

Force-Extension Graph


(directly proportional = straight line through the origin)

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