Problem 4: Gandalf wants to get in the hobbit house. But the hobbit, wary of dangerous adventures, tries to prevent him from getting in the house. The hobbit pushes on the middle of the door with a force of 15.0 N. Gandalf, naturally, pushes on the edge ofthe door farthest from the hinge. He pushes with a force of 10.0 N. Assume the door can be modeled as a stick that is 2.00 m long, has 3.00 kg of mass, and is rotating about one end. What is the acceleration of the door? Make sure to find the magnitude and direction. hObbit Find the torque of all forces acting on the door. 2m Gandalf Find the acceleration of the door. Be sure to show all work, including general equations in symbols, substitution, and results