Iceberg floats in water with part of it submerged. What is the fractio

1.	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 ρi = 0.917 g cm–3?
Answer» Let the volume of the iceberg be V. The weight of the iceberg is ρ_i Vg. If x is the fraction submerged, then the volume of water displaced is xV. The buoyant force is ρ_wxVg where r w is the density of water. ρ_i V_g = ρ_wxVg x = ρ_i /ρ_w = 0.917

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 ρi = 0.917 g cm–3?

Answer»

Let the volume of the iceberg be V. The weight of the iceberg is ρ_i Vg. If x is the fraction submerged, then the volume of water displaced is xV. The buoyant force is ρ_wxVg where r w is the density of water.

ρ_i V_g = ρ_wxVg

x = ρ_i /ρ_w = 0.917

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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 ρi = 0.917 g cm–3?

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