A 1.08000 kg door is attached to the ceiling by a frictionless hinge. The door is 1.50000 m long where it is attached to the ceiling and has a width of 45.00000 cm. The door swings down from an unknown angle toward your cat, Dr. Hairball. The moment the door is vertical, it has an angular speed of 0.75000 rev/s. At that instant Dr. Hairball shoots a 15.00000 g bullet into the middle of the door. a distance of 40.00000 cm below the ceiling. The bullet enters the door horizontally with a speed of 20000000 m/s and exits with a speed of 65.00000 m/s. (3) What is the angle at which the door is released? [b] What is the angular speed of the doorthe moment the bullet exits the door? (The door remains vertical while the bullet travels through the door.) Is the door still swinging in the same direction? (c) What is the peak angle of the door after the collision with the bullet? The pulley shown below is constructed from a small ring of mass m1 = 49000000 g and radius r1 = 25.00000 cm that is attached to a larger disk of mass m; = 55000000 g and radius r; = 35.00000 cm. The pulley holds two masses, mA =4.32000 kg and m3 = 1.65000 kg that are initially held in place. Their oenters of mass have a vertical separation of 6.00000 m. Neglect any friction produced bythe pulley. (3) Clearly write out an expression for the moment of inertia of the pulley using the terms shown in the gure. then use the given values to nd its value. (b) Find the speed of each mass, once me has descended 1.500 m using conservation of energy. What is the angular speed of the pulley at that time? At most you will get half credit for using any other method! (c) Find the acceleration of each mass and the tensionls] in the string using Newton's Second Law. At most you will get half credit for using any other methodl