A small herd of zombies enters a freight elevator at the top, 13th, floor of an apartment building. None speak. All stare toward the back of the elevator car. When the door closes they all randomly...

A small herd of zombies enters a freight elevator at the top, 13th, floor of an apartment building. None speak. All stare toward the back of the elevator car. When the door closes they all randomly choose the 5th floor. The elevator has a weight of 1700 N and the zombies have a weight of 8900 N. The cable that raises the elevator can safely support forces less than 12,000 N; beyond this limit the cable snaps. The building is fairly old and there are no safety systems installed in the elevator shaft. a. Construct a free-body diagram of the elevator and its contents. b. The elevator begins to descend with a sudden accelera- tion of magnitude g/4. Determine if the cable is at risk of snapping. c. The elevator comes to a constant speed, then begins to come to a stop. The zombies are nonplussed when the cable snaps. Explain why the cable snaps near the 5th floor by calculating the acceleration at which the cable snaps. d. What is the apparent weight (the normal force the eleva- tor exerts on the zombies) of the zombies after the cable snaps.