Aglowing blue mote of mass 32.3 g is traveling east at 4.50 m/s when it collides and merges with another mote of mass 78.0 g that is traveling west at 1.12 m/s. find the velocity of the motes after they merge together (be sure to include direction).

An alpha particle with kinetic energy 12.5 mev makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude l = p0 b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m. (assume that the lead nucleus remains stationary and that it may be treated as a point charge. the atomic number of lead is 82. the alpha particle is a helium nucleus, with atomic number 2.) what is the distance of closest approach?