What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)

Choice d. Approximately of the volume of this iceberg would be submerged.

Explanation:

Let denote the total volume of this iceberg. Let denote the volume of the portion that is under the liquid.

The mass of that iceberg would be . Let denote the gravitational field strength ( near the surface of the earth.) The weight of that iceberg would be: .

If the iceberg is going to be lifted out of the sea, it would take water with volume to fill the space that the iceberg has previously taken. The mass of that much sea water would be .

Archimedes' Principle suggests that the weight of that much water will be exactly equal to the buoyancy on the iceberg. By Archimedes' Principle:

.

The buoyancy on the iceberg should balance the weight of this iceberg. In other words:

.

Rearrange this equation to find the ratio between and :

.

In other words, of the volume of this iceberg would have been submerged for buoyancy to balance the weight of this iceberg.

your answer is yx

hope this

~mia

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