In a scattering experiment, an alpha particle of kinetic energy 4.0MeV and, separately, a proton of kinetic energy 1.0MeV are fired from far away straight at the same heavy nucleus, which stays at rest. Each particle stops for an instant at its distance of closest approach, where all its kinetic energy has become electric potential energy. Treat the nucleus as a point charge. What is the ratio of the distance of closest approach of the alpha particle to that of the proton?