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A large rectangular raft (density 408 kg/m³) is floating on a lake. The surface area of the top of the raft is 7.4 m² and its volume is 2.44 m³. The density of the water is 1011 kg/m³.

(a) Find the height of the portion of the raft that is above the surrounding water.

(b) Find the magnitude of the buoyant force on the raft and state its direction.

(c) If the average mass of a person is 77 kilogram, find the maximum number of people that can be on the raft without the raft sinking below the surface of the water. (Suppose that people are evenly distributed on the raft.)

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