Minimum seperation of two electrons moving toward each other

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The discussion focuses on finding the minimum separation between two electrons moving toward each other. Participants are encouraged to use symbols exclusively to derive an algebraic expression for the minimum separation, denoted as ##r##. This approach helps avoid copying and rounding errors, ensuring accuracy in calculations. The thread was initially locked due to confusion between two users but has since been reopened for continued collaboration. The emphasis remains on developing a clear mathematical solution before substituting numerical values.
physicks885
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Homework Statement
Two electrons approach each other moving in opposite directions. When the separation between the electrons is 10 m, the two electrons move with the same speed of 𝑣=38 m/s. What is the minimum distance that the electrons will approach each other before they begin to move away due to the effect of electrical repulsion?
Relevant Equations
K.E = U
[Mentor Note -- Two threads started by partners in a class have been merged into this one thread, since they are working on a shared solution to turn in]

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It looks like you have the correct idea. I strongly recommend that you redo the problem using symbols exclusively in order to find an algebraic expression for the minimum separation ##r##. Once you have that, you can substitute numbers at the very end. This eliminates copying and round-off errors and preserves your sanity.
 
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Locked pending moderation
 
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Thread is now re-opened after sorting out the confusing two-user issue. :smile:
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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