Recent content by joex444

  1. J

    Why Does Neutron Precess Despite q=0?

    Hmm... ok, so I think I figured it out. Even though it is uncharged, it has charged quarks. Unlike the electron, neutrons aren't elementary so I can't think of them in that way. This explains why it does precess, as my paper indicates you can actually observe the interfence pattern caused by...
  2. J

    Why Does Neutron Precess Despite q=0?

    We all know that the magnetic moment is (gq/2m)J, so then why does a neutron precess in a magnetic field if q=0? This should cause the Hamiltonian to be 0.
  3. J

    Derivative of a function to a function

    Thanks, that's really neat. Usually we assume k(x) to be a constant, n, so obviously k'(x) would be 0 and the second term drops, leaving us with the power rule.
  4. J

    Derivative of a function to a function

    I'm a tutor in physics, but was asked this question: What is the derivative of sin(x)^ln(x), with respect to x? I'm not sure how you would go about taking the derivative of a function raised to a function. Is there a general for for d/dx ( f(x)^g(x) )? I understand the answer involves a...
  5. J

    Gravitation force caused by uniform rod

    Homework Statement What is the gravitational force caused by a thin uniform rod of length L on a point mass located perpendicular to the rod at it's center? Assume the point mass is a distance R perpendicular to the rod. Homework Equations g = - \frac{GM}{r^2}\hat{r} = - G\rho \int...
  6. J

    Find the total change in the block's kinetic energy

    Just looking at this quickly, I see that N = mg + Fsin(20) = 14g + 78sin(20)... Then, as you're aware, F_{k}=\mu N and W_{friction} = F_{k} \cdot D
  7. J

    Solving a System of Linear Equations with Limited Information

    I agree, solve for x1 and x2 in terms of x3, or some equivelant expression. Then knowing that x1, x2 and x3 are integers you can generate all the combinations. Wanted to add to your conclusions, though, pennies can only be 3, 8, 13. I would reccomend you solve for x3 being pennies, then you...
  8. J

    Vector calculus - Divergence Theorem

    A is given, it is the vector. It's in the first line... Of course, to solve for A in spherical I worked backwards from the answer (I needed an R^5 in the final answer, and the divergence in spherical gives me an integral of a partial of r^2 * A, so obviously r^2 * A needs to have a 5th power...
  9. J

    Vector calculus - Divergence Theorem

    Homework Statement Find \int_{s} \vec{A} \cdot d\vec{a} given \vec{A} = ( x\hat{i} + y\hat{j} + z\hat{k} ) ( x^2 + y^2 + z^2 ) and the surface S is defined by the sphere R^2 = x^2 + y^2 + z^2 directly and by Gauss's theorem. Homework Equations \int_{s} \vec{A} \cdot d\vec{a} =...
  10. J

    Calculus I - max/min, concavity

    I suggest you graph the function, it is quite helpful. Rewrite your derivative as \frac{1}{6}sin(\frac{x}{3}) just so you understand easier what the trig function is doing when you set it to 0. Secondly, remember that on a closed interval you must consider the end points for maxima or minima...
  11. J

    Solving 4 simultaneous equations

    OK, ok, so after more wasted time and errors made I have arrived at the following two equations, for C and D in terms of F. C = \frac{(k+k')Fe^{\beta}}{2k'e^{\alpha}} and D = \frac{(k'-k)Fe^{\beta}e^{\alpha}}{2k'} Now, I'm thinking that if I just plug it into one of the first two equations...
  12. J

    Schrodinger equation Eigenfunction problem

    I have no idea what's going on here, because the way I see it I now have: \frac{n^2}{x^2}+\frac{1}{x_{0}^2}-\frac{2n}{xx_{0}}-\frac{n}{x^2}+U(x)=E So now the only restriction is that U(x) -> 0 as x -> infinity. Well, I'm not sure what I can do, it seems to me to be 2 unknowns and 1...
  13. J

    Schrodinger equation Eigenfunction problem

    So here's how I'm doing this derivative, correctly this time. u = A(\frac{x}{x_{0}})^n du = Ac^{-n}nx^{n-1} v = e^{-x/x_{0}} dv = -\frac{e^{-x/x_{0}}}{x_{0}} \frac{\partial\psi(x)}{\partialx} = udv + vdu \frac{\partial\psi(x)}{\partialx} = \psi(x)(\frac{-1}{x_{0}}+\frac{n}{x})...
  14. J

    Solving 4 simultaneous equations

    Now, I get: C = -\frac{k+k'}{k-k'}e^{-2\alpha}D and I can obviously solve that backwards for D. So now I have an equation for C in terms of D. I'm solving for B. I'm having so much trouble with the fact that the powers of e are opposite. I know they don't drop out, because the equation...
  15. J

    One-dimensional potential well problem

    I think this may help you http://scienceworld.wolfram.com/physics/Half-InfiniteSquarePotentialWell.html I had a similar problem and it did. Your psi functions don't look right for the two regions x>0. Also, E<Vo implies a bound particle, it will be in the well, but may leak into the...
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