Question

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρ_i = 0.917 g cm^–3?

Answer 1

Given, density of ice (ρ_ice) = 0.917 g/cm³

Density of water (ρ_w) = 1 g/cm³

Let V be the total volume of the iceberg and V’ of its volume be submerged in water. In floating condition.

Weight of the iceberg = Weight of the water displaced by the submerged part of the ice

`Vρ_(ice) g = V^'ρ_w g`

or `V^'/V = ρ_(ice)/ρ_w = 0.917/1` = 0.917  .....(∵ Weight = mg = vρg)