A large rectangular raft (density 650kg/m3) is floating on alake. The surface area of the top of the raft is 8.2m2 andits volume is 1.80m3. The density of the lake water is1000kg/m3.
a) Calculate the height h of the portion of the raft that is abovethe surrounding water.
b) Calculate the magnitude of the buoyant force on the raft andstate its direction.
c) If the average mass of a person is 75kg, calculate the maximumnumber of people that can be on the raft without the top of theraft sinking below the surface of the water. (assume that thepeople are evenly distributed on the raft).