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

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SUMMARY

The fraction of an iceberg's volume exposed in seawater can be determined using Archimedes' principle. Given the density of ice at 920 kg/m³ and seawater at 1030 kg/m³, the fraction of the iceberg above water is calculated by comparing the densities. The mass of the iceberg cancels out in the calculations, allowing for a straightforward determination of the exposed volume without needing to know the iceberg's mass. The equilibrium of forces acting on the iceberg confirms that the gravitational force equals the buoyant force.

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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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