A hockey puck of mass m and radius r slides across frictionless ice. It has translational speed v to the right and rotational speed w clockwise. It grazes the "top" end of a rod of mass m and length 2

A hockey puck of mass m and radius r slides across frictionless ice. It has translational speed v to the right and rotational speed w clockwise. It grazes the "top" end of a rod of mass m and length 2R which is initially at rest on the ice. It sticks to the rod, forming a rigid object that looks like a lollipop.a) In the special case of v=Rw, what is the resulting angular speed of the lollipop?b) How much energy is lost during the collision? How do you explain the fact that energy is lost, given that the v=Rw condition implies that the contact point on the puck touches the rod with zero relative speed.c) Given w, show that v should equal 6Rw/5 if you want the minimum amount of energy to be lost.