Question:
An iceberg floats in water with part of it submerged. What is the fraction of the volume of an iceberg submerged if the density of ice is ρi = 0.917 g/cm3?
Solution:
Density of ice, ρice = 0.917 g/cm3
Density of water, ρwater = 1 g/cm3
Vi is the volume of the iceberg
Vw is the volume of the water displaced by the iceberg
Weight of iceberg, W = ρiVig
Upthrust, FB = ρwVwg
At equilibrium, weight of iceberg = Vw/Vi = 0.917
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