Consider a truncated repulsive Coulomb potential defined as For a particle of total energy...

Consider a truncated repulsive Coulomb potential defined as

For a particle of total energy E > k/a, obtain expressions for the scattering angle Θ as a function of s/s0, where s0 is the impact parameter for which the periapsis occurs at the point r = a. (The formulas can be given in closed form but they are not simple!) Make a numerical plot of Θ versus s/s0 for the special case E = 2k/a. What can you deduce about the angular scattering cross section from the dependence of Θ on s/s0 for this particular case?