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.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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