What is the fraction of an iceberg's volume exposed in seawater?

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The discussion focuses on calculating the fraction of an iceberg's volume that is exposed above seawater, given the densities of ice and seawater. It emphasizes using Archimedes' principle, which states that the buoyant force equals the weight of the displaced seawater. The relationship between the volumes is established by noting that the mass of the iceberg cancels out in the calculations. Participants highlight that the fraction of the iceberg above water is independent of its mass or total volume. Understanding these principles allows for the determination of the exposed fraction without needing to find specific volumes.
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Homework Statement


The density of ice is 920 kg/m3, and that of seawater is 1030 kg/m3. What fraction of the total volume of an iceburg is exposed?


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The Attempt at a Solution



I know your supposed to do volume of the ice divided by the volume of the seawater, x 100. But, I'm having trouble finding the volumes. V=m/density... but how do u find the mass? Or is there a different way of doing it.
 
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Compare the volume of seawater displaced to the volume of the iceberg. The fraction of the iceberg above the water level is independent of its mass or volume. (Just call the mass "m"--you'll find that it will cancel out.)

To proceed, consider the forces acting on the iceberg. And consider Archimedes' principle and buoyant force.
 
By a FBD (the iceberg is in equilibrium), so you know that the gravitational force must equal the buoyant force.
 

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