Recent content by helixkirby

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    Calculating the force between two electrons in a wire

    I finally got it, I inverted the calculation to get the meters per electron which was about 2.9E-14 m per electron, then used this with coulomb's law to get .28N, thank you so much, my professor was giving me cryptic hints when I emailed him.
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    Calculating the force between two electrons in a wire

    epsilon0 * 5E4 *4pi*6.25E18 electrons per meter I believe
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    Calculating the force between two electrons in a wire

    Homework Statement An infinite line charge (wire) has lambda = lambda0. It produces an electric field of magnitude 5E4 N/C at a distance of 2m. Determine the typical force between two adjacent extra electrons in the wireHomework Equations E_line = lambda/(2pi*r*epsilon0) The Attempt at a...
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    Is it necessary to change the bounds when substituting in a definite integral?

    Yes, pretty much, that's OK right?
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    What does it mean to move a differential?

    Well, hopefully I get a 4 or 5 on my ap test, I actually did it instead of the ab test I was supposed to take, I really struggled with series though. Hopefully I can skip calc 2 in college. Multivariable sounds fun.
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    Is it necessary to change the bounds when substituting in a definite integral?

    Is it bad math to do this: The definite integral from 1 to 2 of 1/(3x+1) using the substitution u=3x+1, du=3dx Then changing the integrand but keeping the bounds, then integrating, to (1/3)ln|u| from 1 to 2, then substitute back in u, so then I integrate with the bounds to get (1/3)ln|3x+1|...
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    What does it mean to move a differential?

    Could you possibly show it in single variable, I just took the calc BC test and don't really know much about multi-variable calculus yet.
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    Force as a function of position, given x(t)

    Man, that latex, it just looks beautiful, so I could have just said t(x)=cbrt(6x/k) and then substituted it into F(t)=mkt which makes mk(6x/k)^1/3=(mk^(2/3))/(x^1/3) Also, in Theodore's post, I'm confused as to what you said at the last part, I understand why dv/dt=(dv/dx)(dx/dt), but what did...
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    What does it mean to move a differential?

    Not a homework question, I'm just curious, I know this has been asked a few times, but what exactly is happening when you move dx over to the other side of dy/dx=f'(x), is it like the point slope form ∆y=m∆x, or is it applying the differential to both sides, I've always been told a rigorous...
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    Force as a function of position, given x(t)

    My handwriting is atrocious, but I tried to write it out, maybe this is easier to follow?
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    Force as a function of position, given x(t)

    Ok so I don't really know how to use latex so this is going to look nasty, but here's my attempt at doing this So, I've been thinking about this some more, you know how there's a kinematic equation that relates velocity to position, what would that look like for a situation with a constant...
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    Force as a function of position, given x(t)

    Sorry for the really late reply, but I was looking at a similar problem, where someone was changing v(t) into v(x), I haven't tried it yet, but I think that since there is a varying force that means da/dt =/= 0, then I can say da/dx=(da/dt)/(dx/dt), so then I just separate variables and...
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    Force as a function of position, given x(t)

    Let me make this clear, this is not a homework question, I'm just curious. So I know a common question is finding velocity as a function of time given force as a function of position. I was curious, however, as to go backwards, starting with position as a function of time, and then finding force...
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