Bone CompressionTension problem

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The discussion centers on calculating the stretch of a bone under tensile force after determining its compression under a given force. The relevant formula involves Young's Modulus, but the absence of cross-sectional area complicates the calculation. Participants clarify that the problem can be approached proportionally, using the relationship between the compression and tensile Young's Modulus values. The solution involves setting the equations for both states equal to each other to find the change in length during tension. Ultimately, the problem is simplified by recognizing that the same force magnitude applies to both compression and tension scenarios.
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When subjected to a force of compression, the length of a bone (compression Young's modulus 9.4 x 109 N/m2, tensile Young's modulus 1.6 x 1010 N/m2) decreases by 3.7 x 10-5 m. When this same bone is subjected to a tensile force of the same magnitude, by how much does it stretch


Ok after carefully looking at this problem I realized that the formula that would apply here would be

F = Y (delta L/ L0 ) A

Where y = young's Modulus Delta L = change in length and A = cross sectional area. But after looking at this problem I realized that there is no cross sectional area given, therefore I'm thinking that it is just a proportional problem.

It seems like I'm making this problem a bit harder then it actually is. Perhaps I'm missing something important?

I know that Tensile force is opposite Compression but in this case the answer would not just be the negative change in length right?

Please help
 
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ya pleaseexplain even i did not understand
 
force magnitude, initial length and cross sectional area are the same both times. differs only Y and delta L.
 
ok I got it thanks :) just had to set Y1 delta L = Y2 (x) and solve for X. You see I knew I was thinking about this problem a bit too hard LOL.
 

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