A particle of mass m moves under the influence of an attractive central force F(r) = −k/r3 , k > 0. Far from the center of force, the particle has a kinetic energy E. 1. Find the values of the impact parameter b for which the particle reaches r = 0. 2. Assume that the initial conditions are such that the particle misses r = 0. Solve for the scattering angle θs, as a function of E and the impact parameter b.