3. (25 points) An atom oxygen of mass m; is moving with velocity of magnitude v; and smashes into a molecule of hydrogen, mass m; which is at rest. What will be the velocity of the water molecule formed? The water molecule travels some distance at this constant velocity. If this moving water molecule then splits up into its original two parts, with the oxygen having kinetic energy K1 and the hydrogen having kinetic energy K2, what will be the directions of velocities of the oxygen and hydrogen after the breakup? (When you have a sufcient number of equations so that you could solve for the unknowns, nish the rest of the test before spending time on algebra.)