Recent content by heycoa

  1. heycoa

    Questions regarding the Fermi level of a metal

    Hi, thanks for taking the time to read my post. Yeah I know about band theory, and if I remember correctly there is a valence band and a conduction band and the Fermi level lies somewhere in between. I do not know where the free electrons are. I also do know the definition of the Fermi level...
  2. heycoa

    Questions regarding the Fermi level of a metal

    Hello, Are the electrons at the fermi level regarded as the "free electrons" of the metal? Also, how does one go about calculating the Fermi level? Is there an equation or is it experimentally determined? *Bonus question* Electrons that undergo phonon exchange and pair up are called...
  3. heycoa

    Runge-Kutta Method for a double pendulum

    I guess I just don't understand what K is. In my case, is K the slope of d(omega)/dt? So do I have to take the derivative of d(omega)/dt and then calculate the slope at each point?
  4. heycoa

    Runge-Kutta Method for a double pendulum

    Thank you very much for the response! But I'm not sure I understand. What is N here?
  5. heycoa

    Runge-Kutta Method for a double pendulum

    Hello, I am trying to program a double pendulum via the 4th order Runge-Kutta method and I cannot seem to be getting the right output. At first I used the Euler-Cromer method, but now I am aiming to make it more accurate. Homework Statement I have the equations of motion: d(omega)/dt and...
  6. heycoa

    Mechanics, Tangential force and potential of a curvilinear path

    Tiny-tim, thank you very much for the response. When you say they want me to do it quickly using vector equations, are you saying that m*(d2s/dt2) =m*sqrt(d2x/dt2)+(d2x/dt2)) is incorrect? I'm not sure how else I can show what s'' equals. I am thinking that the tangential force is equal...
  7. heycoa

    Mechanics, Tangential force and potential of a curvilinear path

    Homework Statement a) Prove that m (d^2s/dt^2) = Ftang, the tangential component of the net force on the bead. [hint] one way to do this is to take the time derivative of the equation v^2=v(dot)v. The left side should lead you to (d^2s/dt^2), and the right side should lead to Ftang. b)...
  8. heycoa

    Lagrangian equation for unconstrained motion

    The force equation looks like that of a spring. But as far as I can remember, you go from potential energy to force by multiplying the force by the distance. This problem just seems weird to me.
  9. heycoa

    Lagrangian equation for unconstrained motion

    Homework Statement Write down the Lagrangian for a one-dimensional particle moving along the x-axis and subject to a force: F=-kx (with k positive). Find the Lagrange equation of motion and solve it. Homework Equations Lagrange: L=T-U (kinetic energy - potential energy) The Attempt...
  10. heycoa

    Conservation of Momentum of a bomb shell

    Ok excellent! So I apparently need to read these questions more carefully and define my coordinate systems. I can't thank you enough for taking the time and having the patience to work with and follow up with me. Thank you very much
  11. heycoa

    Conservation of Momentum of a bomb shell

    for v2 i get 2*v0(x hat) + v0(y hat) i calculated the magnitude to be v2=v0*sqrt(5) does this appear to be correct?
  12. heycoa

    Conservation of Momentum of a bomb shell

    Then it should be minus the second term (-m*v0*yhat), right?
  13. heycoa

    Conservation of Momentum of a bomb shell

    well p2=v2*m and when i solve for v2 i get 2*v0(x hat) + v0(y hat)
  14. heycoa

    Conservation of Momentum of a bomb shell

    so the direction of p0 is in the x-direction, and p1 is in the y-direction?
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