Recent content by Emspak

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    How rockets take curved paths in space (absent gravity)

    This might have been answered before but it's something that has been bothering me. A rocket in space will move in a straight line. If I apply thrust, it still moves in a straight line unless I apply the thrust in a different direction. So unless I have rocket nozzles attached to the side...
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    On the mathematics of interstellar colonization

    OK, so is there a good way to work out the relation for nearby planets in relation to volume? Like I noted, mathematically speaking the doubling process just means you full the requisite number of planet "slots" pretty fast, but I was trying to work out how fast the colonization wave would move...
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    On the mathematics of interstellar colonization

    because the RADIUS I mentioned is 10x. (10x 33.6 = 336). Volume is proportional to the cube of radius. If the number of planets per unit volume is n, then for any n*V you get n * (4/3)*πr3 and that means n is proportional to r3. Increse r by a factor of 10 and n goes up by a factor of 1000.
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    On the mathematics of interstellar colonization

    i edited a bit for clarity, tell me if it makes more sense now.
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    On the mathematics of interstellar colonization

    I've been turning something over in my head for a bit and I wanted to check some math. It has to do with how long it would take a hypothetical alien civilization to colonize a big chunk of nearby space. Over at the...
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    Understanding Thevenin's Theorem

    OK, when you say "ue circuit theory" which one on particular do you mean? KVL? KCL?
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    Understanding Thevenin's Theorem

    Homework Statement You have a circuit (attached pic) and want to find the Thevenin equivalent resistance and voltage. Homework Equations See below The Attempt at a Solution OK< here's what confuses me. If I simply look at the total resistance of the circuit from A and B, it seems to me that...
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    Approaching the problem o 1D well that changes size

    i just tried getting the dangd Latex to work and it's buggy today. but i think you ought to be able to see what i was asking.
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    Approaching the problem o 1D well that changes size

    As I recall the problem was stated as an infinite potential is inserted at a/2, if that helps, and the idea was w could just ignore the part of the well on the right. But if I hear you right I should set up [itex]\int \psi^*_n' \psi [\itex] as ##\int \psi^*_{n'} \psi_2 ## ? And then the issue is...
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    Approaching the problem o 1D well that changes size

    As I recall the problem was stated as an infinite potential is inserted at a/2, if that helps, and the idea was w could just ignore the part of the well on the right. But if I hear you right I should set up [itex]\int \psi^*_n' \psi [\itex] as ##\int \psi^*_n' \psi_2 ## ?
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    Approaching the problem o 1D well that changes size

    Homework Statement You have a potential well, it's 1-dimensional and has a width of 0 to a. All of a sudden the wall of the well is pushed inward so that it's half as wide. Now the well is only extending from 0 to a/2. in the well is a particle (mass m) that is in the first excited state...
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    A (relatively) simple QM Problem, but seeking my mistake

    thanks -sorry i didn't get back to you sooner - i figured out what the problem was eventually (part of it was realizing that when you integrate in a sphere there are "extra" sine terms. Whoops. btw there doesn't seem to be a thanks button anymore. :-(
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    A (relatively) simple QM Problem, but seeking my mistake

    Homework Statement Find <r> and <r2> for an electron in the ground state of hydrogen. Express in terms of Bohr radius. Homework Equations We know the relevant wave functions are: R_{10} = \frac{c_0}{a}e^{r/a}Y^0_0 and Y^0_0 = \frac{1}{\sqrt{4\pi}} The Attempt at a Solution As I...
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    On deriving response function in simple low pass filter

    Typo. V_{out} = \frac{V_{in} i \omega L}{R+i \omega L}
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    On deriving response function in simple low pass filter

    Let me guess: it should have been V_{out} = \frac{V_{in} \omega L}{R+ \omega L}, right?
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