Recent content by dawn_pingpong

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    Energy when going down the escalator

    Homework Statement Hello, I was just thinking about this when going down the escalator today... When one goes down the escalator, one loses potential energy, and work is done by the escalator to bring you down. In a sense, energy is lost from the escalator too (as it does work). Taking that...
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    Looking for home educational material

    there's also edx.org now, MIT/Harvard version of coursera. if really need to stream on a tv, I think you can always download everything to a dvd disc, then just play on a television. there are downloaders like ytd(which I quite like) where you can download whole playlists from YouTube at the...
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    Magnetic field between 2 parallel wires

    Thank yu very much! Now I get it:D
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    Magnetic field between 2 parallel wires

    Oh, okay, thanks! Uh the 2nd formula is in quite a lot of places actually, though I might have misunderstood it... Places like http://www.cartage.org.lb/en/themes/sciences/physics/electromagnetism/Magnetostatics/MagneticField/Forcesoncurrents/parallelwires/parallelwires.htm and the...
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    Magnetic field between 2 parallel wires

    Homework Statement Sorry. I know this question is on the forum somewhere, but I still don't get it... Thus. For parallel wires, at the mid-point of the wires, what is the strength of the magnetic field? Do I use the formula B=\frac{μi_{1}i_{2}L}{2∏r}, or is it the sum of B=\frac{μi}{2∏r}...
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    Electron through electric and magnetic field

    some equations for you: upward F=qE downward F=Bqv (travelling straight so upward F=downward F) Then, regarding voltage: V=E/q=(0.5mv^2)/q can you find the voltage from these equations?
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    Evaluating definite integral by substitution

    0? so the integral is just 0- \int\left[\frac{(1/t)^2}{t^2(1+(1/t)^3}\right]^1?(sorry don't really know how I'm supposed to write this...) and at 0 the integral is 0. but it seems there is something wrong with the sign, because it is negative...
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    Evaluating definite integral by substitution

    Homework Statement By using substitution u=\frac{1}{t}, or otherwise, show that \int^∞_1 \frac{t^5}{(1+t^3)^3}dt=\int^1_0 \frac{u^2}{(1+u^3)^3}du Homework Equations The Attempt at a Solution Well, the reverse can also be done (making t to u). However, I don't know how to...
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    When does a Taylor's Series not converge to its original function?

    Homework Statement When does a Taylor's Series not converge to its original function? the commonly given example is e^\frac{-1}{x^2} But I really don't get how it works... For example if we find the series around the point x=1, then...
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    Taylor's theorem: What does the a represent?

    Okay, thank you! so basically, it is the estimation around the point x=a, and the further it deviates from a the more inaccurate? For example, evaluating the value of e, without using a calculator, we still set a=0, because thenf^n(a) will be 1, and it will be easy to calculate, though there...
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    Taylor's theorem: What does the a represent?

    Homework Statement Taylor's theorem states: f(x)=\displaystyle\sum_{k=0}^{infinity}{\frac{(f(^k(a)(x−a)^k)}{n!}} When approximating a function, we always set a=0, and it gives an approximation for the whole function. Why set the a=0? What does the a reperesent? Thank you. Homework...
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    Kinematics Problem (Find Speed)

    Okay thanks lots! Time to redo then... :/
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    Kinematics Problem (Find Speed)

    I'm really really sorry to hijack, but just wondering, is the answer 21.75m/s? Attempted it as practice, and just want to check the answer if I made any errors. Sorry! And Thanks!
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    Same temperature, but different volume?

    I think it is implied by the question that the orginal pressure of both segments (ie whole system) are 1 atm, though i might be wrong.