A solid wood door 1.00 meter wide and 2.00 meter high is hinged along one side and has a total mass 53.0 kilogram. Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.500 kilogram, traveling perpendicular to the door at 13.0 m/s just before impact. Evaluate the final angular speed of the door.
rad/s.