Calculating Ice Density: Buoyant Force Problem Explained

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To calculate the density of the iceberg, the submerged volume must be determined using the thickness of 1.50 km and the height above water of 167 m. The density of the ice can be derived from the buoyant force, which equals the weight of the displaced seawater, given that the density of seawater is 1.025E7 kg/m^3. The cross-sectional area of the iceberg is relevant for calculating the displaced water volume, which is essential for determining the iceberg's density. The problem emphasizes the relationship between density and buoyancy, focusing more on algebraic calculations than buoyancy principles. Understanding these concepts is crucial for solving the problem accurately.
Twilit_Truth
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It's me again. This time I actually understand the material, I just need help with figuring this one out.


The tallest iceberg ever measured stood 167 m above the water. Suppose that both the top and bottom of this iceberg were flat and the thickness of the submerged part was estimated to be 1.50 km. Calculate the density of the ice. The density of sea water equals 1.025E7 kg/m^3.


Thank you for your time.
 
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What are you initial thoughts so far? How much water does the iceberg displace when it sinks 1.5km? What kind of volumes do we care about? What about the cross section of the iceberg, can that help at all?

This problem doesn't really have do much to do with bouyancy, only in principle, more so density and algebra if that helps at all.
 

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