Recent content by AaronMartin

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    Fourier Frequency Identification

    I am a high school physics teacher and was thinking of demonstrating to students how frequencies of complex waveforms such as notes of instruments can be identified using a Fourier transform. I haven't done Fourier transforms for a while and was quickly re-reading about them earlier this...
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    Simple Histogram using Mathematica - please

    Thank you. HistogramCategories and IntervalCenters appears to be in a previous version of Mathematica and not in version 7. If anyone knows what they have been changed to in version 7, I'd appreciate your help!
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    Simple Histogram using Mathematica - please

    Hi. I am new to using Mathematica v7 and would like to know how to generate a very simple histogram. The data is: data = {1.5, 2, 0, 0.5, 1, 2, 1.5, 3, 0, 0.5, 1, 2, 2, 3, 3.5, 0, 1, 4, 2, 0.5, 1, 0, 2, 1.5, 0, 1.5} I can generate the histogram using Histogram[data] but how do I set...
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    Electrostatic Problem - finding initial separation of two particles

    Thanks. I must have missed a bracket or something. U_A = 40.9\,J The answer should now be 0.014 m or 1.4 cm. This seems a bit more reasonable.
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    Electrostatic Problem - finding initial separation of two particles

    Ok. To continue where I left off: \begin{aligned} U_A &= (0.5 \times 3.00 \times 10^{-3} \times (-125)^2 + 0.5 \times 6.00 \times 10^{-3} \times 62.5^2) + \frac{8.99 \times 10^9 \times (8.00 \times 10^{-6})^2}{0.100}\\ &= 2.53 \times 10^7\,J\\ \\ U_A &= qV\\ V &= \frac{U_A}{q}\\ &=...
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    Electrostatic Problem - finding initial separation of two particles

    Is this correct? \begin{aligned} \frac{1}{2}mv^2_A + U_A &= \frac{1}{2}m^2_B + U_B\\ 0 + U_A & = \left(\frac{1}{2}mv^2_1 + \frac{1}{2}mv^2_2 \right) + U_B \end{aligned} where \begin{aligned} U_B &= qV\\ &=q \times \frac{kq}{r}\\ &= \frac{8.99 \times 10^9}{0.100}\end{aligned} Since I know v1 =...
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    Electrostatic Problem - finding initial separation of two particles

    Momentum. \begin{aligned}\rho_{before} &= \rho_{after}\\ mv_1 + mv_2 &= mv_1 + mv_2\\ 0 &= -125 \times 3.00 \times 10^{-3} + 6.00 \times 10^{-3}v_2\\v_2 &= \frac{125 \times 3.00 \times 10^{-3}}{6.00 \times 10^{-3}}\\ &=62.5\,m/s \end{aligned} How can I use the conservation of energy to work...
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    Electrostatic Problem - finding initial separation of two particles

    Homework Statement One particle has a mass of 3.00 \times 10^{-3} kg and a charge of +8.00 \mu C. A second particle has a mass of 6.00 \times 10^{-3} kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation...
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