Fluid Mechanics Worksheet 2
1. A large rectangular raft (density 650 kg/m3)
is floating on a lake. The surface area of the
top of the raft is 8.2 m2 and its volume is 1.80
m3. The density of the lake water is 1000
kg/m3.
a. Calculate the height h of the portion
of the raft that is above the
surrounding water.
b. Calculate the magnitude of the buoyant force on the raft and state its direction.
c. If the average mass of a person is 75 kg, calculate the maximum number of people that
can be on the raft without the top of the raft sinking below the surface of the water.
(Assume that the people are evenly distributed on the raft.)
