The curator of a science museum is transporting a chunk of meteorite iron (i. e., a piece of iron that fell from the sky -- see picture at left) from one part of the museum to another. Since the chunk of iron weighs 960 N and is too big for her to lift by herself, she is using a hand cart (see figure at right). While passing through the marine mammals section of the museum, she accidentally hits a bump and the meteorite tips off the handtruck and into the dolphin pool. Fortunately, the iron didn't hit a dolphin, but it quickly sinks to the bottom. Unfortunately, the meteorite has many sharp edges and she is worried the dolphins, curious creatures that they are, will come to inspect it and be cut when they rub against it. She wants to get it up out of the pool as quickly as possible.

Fortunately, the meteorite has lots of holes in it and there are ropes with hooks on one end lying around. If she could get a hook into one of the holes, she might be able to pull it up to the top. Unfortunately, she remembers that the meteorite is too heavy for her to lift.

a. The pool is 3.7 m deep, the density of the meteorite is about 7650 kg/m^3, and the density of water is 1000 kg/m^3. What is the buoyant force on the meteorite while it's fully submerged in the pool?
b. Before the curator attaches the rope to the meteorite, what is the normal force of the bottom of the pool on the meteorite?
c. After managing to get the hook into one of the meteorite's holes, what is the minimum force the curator would need to apply with the rope to lift the meteorite?