2. (25 pts. ) A door of mass m2 = 12.000 kg, height h = 150.000 cm and width w = 75,000 em is attached to and hangs from the ceiling by a frictionless hinge. The door is at rest when it is hit by a rubber ball of mass m = 1.750 kg with a speed of v1 = 15.000 m/s a distance d = 20.000 cm above the lowest point of the door. At the instant the ball hits the door, it is traveling horizontally. The instant after the collision the lowest point of the door has a speed of v2 = 4.500 m/s and the ball is moving in the opposite direction. (a) Draw a picture of the situation, including all of the relevant information given above. (b) What is the angular speed of the rubber ball the instant after the collision? (c) What is the total mechanical energy of the door the instant after the collision. Clearly state any assumptions you make for your calculation. (d) What is the angular speed of the door when it makes an angle of 20.00 degrees with respect to the vertical