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 handful of sticky mud with mass 0.500 kg, traveling perpendicular to the door at 12.0 m/s just before impact. Find the final angular speed of the door. Does the mud make a significant contribution to the moment of inertia?

Solution 46E Step 1: Length of the door l = 1.00 m Mass of the door M = 40.00 Kg Mass of the mud m = 0.5 Kg Speed of the door v = 12.0 m/s