All Material's Obey Hooke's Law

Hooke's Law is a more universal concept that the simple statement 'Force=constant times force'? All materials obey Hooke's Law over a certain range of conditions. This is because all solids have a Young' modulus  
\[Y\]
, defined as  
\[Y=\frac{stress}{strain}= \frac{Force/Area}{extension/length}=\frac{F/A}{x/l}=\frac{Fl}{Ax}\]
.
We can write this as  
\[F=\frac{AY}{l} x\]
  which has the same form as Hooke's Law.
This applies when a solid material has a constant cross section along its length and is stretched to increase that length.

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