Find the scattering cross section of the "hard sphere": *- (4)4 for r> R for r< R -0
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- P-4 Please help me with this problem very clearly with step by step explanation.Show that the minimum cnergy of a simple harmonic oscillator is Fw/2 if ArAp = h/2, where (Ap)² = ((p - (p))?). %3DA particle moves in a force field described by the Yukowa potentialV (r) = −k/r exp(−r/a)where k and a are positive. Write the equations of motion and reduce them to the equivalentone-dimensional problem. Use the effective potential to discuss the qualitative nature of the orbits for different values of the energy and the angular momentum.
- • Problem 3.22 The potential energy between the atoms of an hydrogen molecule can be modelled by means of the Morse potential -2(r – ra) (r V (r) = V exp 2 еxp where Vo = 7 × 10 12 erg, ) = 8 x 10-º cm and a = 5 x 10-º em.Brick with mass m that resting at the top of the inclined plane that has a height of 4.43 m and has an angle of theta = 15.2 degrees with respect to the horizontal. After begin released, is observed to be moving at v = 0.79 m/s a distance d after inclined plane. With coefficient of kinetic friction between brick and plane u_p = 0.1 and coefficient on horizontal surface is u_r = 0.2. Based in the image attached. What would the distance (meters) would be?Help me please
- (14)(a) What does the quadrupole formula (P) = = = (Qij Q³ ³) compute? Reason the answer. (b) A point mass m undergoes a harmonic motion along the z-axis with frequency w and amplitude L, x(t) = y(t) = 0, z(t) = L cos(wt). Show that the only non-vanishing component of the quadrupole moment tensor is = Im L² cos² (wt). (c) Use the quadrupole formula to compute the power radiated by the emission of gravitational waves. (Hint: recall that (cos(t)) = (sin(t)) = 0 and (cos² (t)) = (sin² (t)) = ½½ for a given frequency 2.)