A solid wood door 1.00 {m} wide and 2.00 {\m} high is hinged along one side and has a total mass of 44.0kg . Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.700kg , traveling perpendicular to the door at 14.0m/s just before impact. Part A Find the final angular speed of the door. Part B Does the mud make a significant contribution to the moment of inertia?