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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%
Most Upvoted Answer
What percent of the total volume of an iceberg floats above the water ...
Understanding Iceberg Buoyancy
When considering how much of an iceberg floats above water, we must apply the principles of buoyancy, which are based on the densities of ice and water.
Density Comparison
- The density of ice: 920 kg/m³
- The density of water: 1000 kg/m³
Buoyancy Principle
- An object will float when it displaces a volume of water equal to its own weight.
- The fraction of the iceberg submerged can be calculated using the ratio of the densities.
Calculating the Submerged Volume
- The submerged volume fraction (V_submerged / V_total) can be determined by the equation:
Density of Ice / Density of Water = V_submerged / V_total.
- Plugging in the values:
920 kg/m³ (ice) / 1000 kg/m³ (water) = V_submerged / V_total.
Simplifying the Calculation
- This gives us:
V_submerged = 0.92 * V_total.
Finding the Above Water Volume
- To find the volume above the water:
V_above = V_total - V_submerged
V_above = V_total - 0.92 * V_total
V_above = 0.08 * V_total.
Calculating the Percentage
- Therefore, the percent of the iceberg that floats above the water surface is:
(V_above / V_total) * 100 = 0.08 * 100 = 8%.
Conclusion
- Thus, 8% of the total volume of an iceberg floats above the water surface, confirming that option 'B' is indeed the correct answer.
When considering how much of an iceberg floats above water, we must apply the principles of buoyancy, which are based on the densities of ice and water.
Density Comparison
- The density of ice: 920 kg/m³
- The density of water: 1000 kg/m³
Buoyancy Principle
- An object will float when it displaces a volume of water equal to its own weight.
- The fraction of the iceberg submerged can be calculated using the ratio of the densities.
Calculating the Submerged Volume
- The submerged volume fraction (V_submerged / V_total) can be determined by the equation:
Density of Ice / Density of Water = V_submerged / V_total.
- Plugging in the values:
920 kg/m³ (ice) / 1000 kg/m³ (water) = V_submerged / V_total.
Simplifying the Calculation
- This gives us:
V_submerged = 0.92 * V_total.
Finding the Above Water Volume
- To find the volume above the water:
V_above = V_total - V_submerged
V_above = V_total - 0.92 * V_total
V_above = 0.08 * V_total.
Calculating the Percentage
- Therefore, the percent of the iceberg that floats above the water surface is:
(V_above / V_total) * 100 = 0.08 * 100 = 8%.
Conclusion
- Thus, 8% of the total volume of an iceberg floats above the water surface, confirming that option 'B' is indeed the correct answer.
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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? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about 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? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about 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? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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