Question

A raftis constructed of wood having a density of 600 kg/m3. The surface area of the bottomof the raft is 5.7 m2, and the volume of the raft is 0.6 m3. When the raft is placed in fresh water having a density of 1 x 103kg/m3, how deep is the bottom of the raft below water level?

Answer 1

The bottom of the raft below water level is 6.6 cm.

Height of the raft

The height of the raft is calculated as follows;

Ah = V

h = V/A

h = (0.6)/(5.7)

h = 0.11 m

Specific gravity of the raft

The fraction of the raft submerged in the fresh is calculated as follows;

$S.G = \frac{\rho_ {raft}}{\rho_{water}} \\\\S.G = \frac{600}{1000} \\\\S.G = 0.6$

Fraction of the raft below water

The bottom of the raft below water level is calculated as follows;

depth = 0.6 x 0.11

depth = 0.066 m

depth = 6.6 cm

Thus, the bottom of the raft below water level is 6.6 cm.

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