A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 40.0 kg. Initially open and at rest,the door is struck at its center by a handfuIof sticky mud w ith mass O.5 kg, travelling perpendicular to the door at 12.0 m/s just before impact. Find the final angular speed of the door.