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What percent of the total volume of an iceberg floats above the water surface? Assume the density of ice to be 920 kg/m3 and the density of water to be 1000 kg/m3 .
- a)6
- b)8
- c)92
- d)20
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What percent of the total volume of an iceberg floats above the water ...
Concept:
When a body is either wholly or partially immersed in a fluid, a lift is generated due to the net vertical component of hydrostatic pressure forces experienced by the body. This lift is called the buoyant force and the phenomenon is called buoyancy.
The Archimedes principle states that the buoyant force on a submerged body is equal to the weight of the liquid displaced by the body and acts vertically upward through the centroid of the displaced volume.
Thus, the net weight of the submerged body, (the net vertical downward force experienced by it) is reduced from its actual weight by an amount that equals the buoyant force.
FB = ρghA = ρgV
Weight of cube = buoyancy force
ρiceViceg = ρwVVDg
Calculation:
Given:
ρice = 920 kg/m3, ρw =1000 kg/m3
Let the x be the volume of iceberg floats above the water surface.
ρiceVg = ρwg(V - x)
920 × V × g = 1000 × g × (V - x)
0.92V = (V - x)
x = 8%
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What percent of the total volume of an iceberg floats above the water surface? Assume the density of ice to be 920 kg/m3and the density of water to be 1000 kg/m3.a)6b)8c)92d)20Correct answer is option 'B'. Can you explain this answer?
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