Recent content by Nacho Verdugo

  1. Nacho Verdugo

    Lennard-Jones Work: Calculating Equilibrium Position

    No thanks! I just made a mistake editing this.
  2. Nacho Verdugo

    Diffusion of energy by heat flow

    Homework Statement This problem belongs to the Intermediate Physics for Medicine and Biology, Hobbie Chapter 4. The heat flow equation in one dimension $$ j_H=-\kappa \partial_x T $$ where ## \kappa ## is the termal conductivity in ## Wm^{-1}K^{-1}##. One often finds an equation for the...
  3. Nacho Verdugo

    Lennard-Jones Work: Calculating Equilibrium Position

    yes! with $$F(r_0)=0$$ I can actually find $$r_0$$ and later evaluate that value in the integral.
  4. Nacho Verdugo

    Normalize Hydrogen Wavefunction

    I thought about that, but the statement of the problem I'm trying to solve just says to integrate in one dimesion. I'll try again.
  5. Nacho Verdugo

    Lennard-Jones Work: Calculating Equilibrium Position

    I don't know :C I took a while to answer cause of that. I think it should be at a huge distance, right?
  6. Nacho Verdugo

    Normalize Hydrogen Wavefunction

    I'm trying to prove that the wave function of Hydrogen for the fundamental state is normalized: $$ \Psi_{1s}(r)=\frac{1}{\sqrt{\pi a^3}}e^{-\frac{r}{a}} $$ What I tried is this: $$ I= \int_{-\infty}^{\infty} | \Psi^2(x) | dx = 1$$ $$ \int_{-\infty}^{\infty} \frac{1}{\pi...
  7. Nacho Verdugo

    Lennard-Jones Work: Calculating Equilibrium Position

    I guess it is zero right? I that way it is in equilibrium.
  8. Nacho Verdugo

    Lennard-Jones Work: Calculating Equilibrium Position

    The statement of this problems is: In diatomic molecules, the constituent atoms exert attractive forces between themselves at great distances and repulsive forces at short distances. For many molecules the Lennard-Jones law is a good approximation for the modulus of these forces. $$ F(r)=F_0...
  9. Nacho Verdugo

    Lennard-Jones Work: Calculating Equilibrium Position

    Homework Statement I need to calculate the work donde by the Lennard-Jones Law, considering: F(r)=F0 [2(σ/r)13-(σ/r)7] when approximating two atoms from infinity to the equilibrium position between both atoms Homework Equations First thing I don't know how to calculate is the equilibrium...
  10. Nacho Verdugo

    Mass sliding on frictionless inclined plane compresses a spring

    Hi! So, I just had second thoughts about what I post. The idea is to conserve the energy, right? So the energy in A is : mg(d+x)sinβ and the energy in B is :½kx^2. Conserving the energy I obtain: mg(d+x)sinβ=½kx^2 ⇒ mgdsinβ + mgxsinβ = ½kx^2 ⇒ mdgsinβ = ½kx^2 - mgxsinβ ⇒ d=...
  11. Nacho Verdugo

    Mass sliding on frictionless inclined plane compresses a spring

    Homework Statement A body with mass m start from repose and slide along a plane without friction. The plane forms an angle with the horizontal. After sliding a distance d unknown, the mass touches the extremity of a spring non compressed and non stretched with no mass. The mass slides a...
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