First slide

Fluid statics

Question

A raft of wood (density 600 g/m³) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink?

Easy

A

120 kg
B

200 kg
C

40 kg
D

80 kg

Solution

Volume of log of wood $= \frac{m}{ρ} = \frac{120}{600} = 0.2 m^{2}$
Weight of displace water $= 0.2 \times 10^{3} \times 10 = 2000 N \Rightarrow (120 + m) g = 2000 \Rightarrow m = 80 kg$

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