long thin rod length h A particle, with mass m, is moving through space with constant velocity v, as shown in the diagram. COM It eventually collides with and sticks to the end of a long thin uniform rod, which has mass M and length /h and is initially at rest. The mass of the particle (m) is negligible compared with the mass of the rod. (a) Show the angular momentum of the particle about the COM of the rod is L-mh/2. b) Show that the rotational velocity of theystem after the collision is ómv/ith). (c) Write an expression for the rotational kinetic energy after the collision, in terms of the parameters given.