Exploring Hookes Law: Impact of Width on Elasticity

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The discussion centers on the impact of width on the elasticity of materials, specifically in relation to Hooke's Law. It explains that the elastic coefficients of a material are intrinsic to the material itself and that the force required to stretch a wire is proportional to its cross-sectional area. Doubling the cross-section necessitates double the force to achieve the same fractional stretch. Additionally, while a wire stretches, its cross-section decreases, but the volume does not have to remain constant. Clarifying specific questions could lead to more precise answers regarding elasticity and width.
abbi_sheff
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Hiya,

I have had to do an investigation on hookes law as part of my primary school teaching course. i am by far not the best at understanding physics. Can someone please explain to me what effect the width of a piece of elastic has on its elasticity and why?

thanks
 
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In an extent, the coeficient is propotional to the cross-sectional area of the object (a rubber band or ..)
 
Thanks
 
The elastic co-efficients of a material depend only on the material itself.

If a certain force is required to stretch a wire by a certain fraction of its original length, then double the force will be required to stretch a wire of double the cross-section by ths same fraction. This means that, other things being the same, the force required to stretch a wire is proportional to the cross-section. This is valid for small deformations, where Hooke's law is valid.

When a wire stretches, its cross-section reduces, but the volume need not be constant.

If you could ask a more specific question, perhaps you can get a definite answer.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks

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