Question

A wooden supply raft is 2 m wide, 3 m long and 0.200 m deep. The raft and it’s occupants have mass of 700 kg. How deep will the sink below the water when floating?

Answer 1

58.3% of the raft will sink below the water when floating.

Volume of the raft

The volume of the raft is calculated as follows;

V = Lbh

V = 2 x 3 x 0.2

V = 1.2 m³

Density of the raft

The density of the raft is calculated as follows;

ρ = m/v

where;

• m is the mass = 700 kg
• v is the volume = 1.2 m³

$\rho = \frac{700}{1.2} \\\\\rho = 583.33 \ kg/m^3$

Fraction of the raft below the water

$f = \frac{\rho\ _{raft}}{\rho \ _{water}} \times 100\%\\\\f = \frac{583.33}{1000} \times 100\%\\\\f = 58.3 \%$

Thus, 58.3% of the raft will sink below the water when floating.

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