Recent content by J_M_R

  1. J

    Initial Mass Function Question (white dwarfs, neutron stars and black holes)

    Homework Statement Calculate the number of white dwarf, neutron star and black holes the galaxy will have after 5Gyr of evolution. M<8(solar mass) for white dwarf 8(solar mass) < M < 40(solar mass) for neutron star M > 40(solar mass) for black hole Initial mass function is ξ(M) = AM-s...
  2. J

    Gravitational Time Dilation Problem

    Ah, so the t(sea-level) has longer until his 76th birthday so the person could have lived 0.01 years longer at sea level according to my calculations?
  3. J

    Gravitational Time Dilation Problem

    I was just using the fact that the question says "How much longer could they have lived at sea level?" so assumed t(sea-level) should therefore be longer?
  4. J

    Gravitational Time Dilation Problem

    Homework Statement A person lived 75 years in a city located 3.1km above sea level. How much longer could they have lived at sea level? (Times are measured by an observer at infinite distance). Homework Equations tr/t∞ = {1 - [ (2GM) / (r(c^2)) ]}^(1/2) Rc (Radius at city) = Rearth + 3.1km...
  5. J

    Calculate muon speed after collision

    Indeed it does - thanks! So the velocity calculated is the speed of each muon after the collision?
  6. J

    Calculate muon speed after collision

    Homework Statement Two equal energy photons collide head on and annihilate each other, producing a u+, u- pair. The two particles have equal mass, about 207 times the electron mass. A) Calculate the maximum wavelength of the photons for this to occur. B) If the wavelength calculated in A) is...
  7. J

    What Is the Minimum Beam Energy for Proton-Proton Collisions?

    So to get Ep, I am also required to add the rest energy of the two protons?: Ep = (547.3MeV + 2(938.3MeV))/2 = 1.212GeV If rest energy of a proton is 938.3Mev.
  8. J

    What Is the Minimum Beam Energy for Proton-Proton Collisions?

    Homework Statement Calculate the minimum beam energy in a proton-proton collider to initiate the p+p→p+p+n0 reaction. The rest energy of the no is 547.3MeV.Homework Equations For a head on collision between particles a and b, from conservation of total energy: Ex = Ep + Ep' = 2Ep so that...
  9. J

    Why Does My Integral Calculation Differ from the Expected Result?

    The result of the integral of (1/2)sin2x dx with: upper limit x = arccos((R-h)/R) lower limit x = 0 is (-h^2+2Rh)/(2R^2) I can not seem to get this exact answer my workings yield: let u = 2x, du/dx = 2 therefore dx = du/2 Integral becomes (1/4) ∫ sinu du (with the same upper and lower...
  10. J

    How Do Particles Leak from a Container and Reach a Spherical Cap?

    Homework Statement An ideal gas satisfying the Maxwell-Boltzmann distribution is leaking from a container of the volume V through a circular hole of area A'. The gas is kept in the container under pressure P and temperature T. The initial number density (concentration) is given by n0=N/V...
  11. J

    Muon Speed Calculation After Photon Collision

    Homework Statement Two equal-energy photons collide head-on and annihilate each other, producing a u+ and u- pair. The muon mass is about 207 times the electron mass. Calculate the maximum wavelength of the photons for this to occur. If the photons have this wavelength, describe the motion of...
  12. J

    Setting up an LRC series circuit with coupled coils

    Homework Statement I have been trying to set up an LRC series circuit where in place of an inductor we have a pair of coupled coils. My aim is to determine the resonant frequency in the circuit when the voltage across the resistor or the current in the circuit is at a maximum. I am using a...
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