Floating Raft
How much would a raft sink if a woman stepped onto it?
A raft is made of solid wood and is 2.31 m long and 1.59 m wide. The raft is floating in a
lake. A woman who weighs 158 lb (71.6676 kg) steps onto the raft. How much further into
the water does the raft sink?
Hint 1:You do not need the thickness of the raft or the density of
the wood to solve this problem.
Hint 2: The answer is between 1.40 cm and 2.30 cm.
∑F = 0
W - F_buoyancy = 0
W = F_buoyancy
m_woman*g = ρ_water*g*V
m_woman = ρ_water*A*h
h = m_woman/ρ_water*A = 71.6676 kg/1000*2.31*1.59
h = 0.0195 m
h = 1.95 cm
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