1) Consider a 3-body collision involving two small spheres of mass m with initial velocities of Us,i and vs, j that simultaneously impact a larger sta- tionary sphere of mass 2m at the origin. Assume the two smaller masses hit head on, such that they continue along the x and y directions, re- spectively. By symmetry, the small sphere maintain equal speeds and the larger sphere moves off in the diagonal direction, u = (i + j)/v2. Cal- culate the final velocities of the three spheres (i.e., Us,fi, Us,fj and vi,fu) assuming an elastic collision. y A U = Us.il 2m m U = Us.ij m