Physics, 13.12.2020 14:00 alsafy5124

What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)

$What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)$

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Answer from: juniorlb01

Choice d. Approximately $89\%$ of the volume of this iceberg would be submerged.

Explanation:

Let $V_\text{ice}$ denote the total volume of this iceberg. Let $V_\text{submerged}$ denote the volume of the portion that is under the liquid.

The mass of that iceberg would be $\rho_\text{ice} \cdot V_\text{ice}$ . Let denote the gravitational field strength ( $g \approx 9.81\; \rm N \cdot kg^{-1}$ near the surface of the earth.) The weight of that iceberg would be: $\rho_\text{ice} \cdot V_\text{ice} \cdot g$ .

If the iceberg is going to be lifted out of the sea, it would take water with volume $V_\text{submerged}$ to fill the space that the iceberg has previously taken. The mass of that much sea water would be $\rho_\text{sea} \cdot V_\text{submerged}$ .

Archimedes' Principle suggests that the weight of that much water will be exactly equal to the buoyancy on the iceberg. By Archimedes' Principle:

$\text{buoyancy} = \rho_\text{sea} \cdot V_\text{submerged} \cdot g$ .

The buoyancy on the iceberg should balance the weight of this iceberg. In other words:

$\underbrace{\rho_\text{ice} \cdot V_\text{ice} \cdot g}_\text{weight of iceberg} = \underbrace{\rho_\text{sea} \cdot V_\text{submerged} \cdot g}_\text{buoyancy on iceberg}$ .

Rearrange this equation to find the ratio between $V_\text{submerged}$ and $V_\text{ice}$ :

$\begin{aligned} &\frac{V_\text{submerged}}{V_\text{ice}} \\&= \frac{\rho_\text{ice} \cdot g}{\rho_\text{sea} \cdot g}\\ &= \frac{\rho_\text{ice}}{\rho_\text{sea}}\ = \frac{917\; \rm kg \cdot m^{-3}}{1030\; \rm kg \cdot m^{-3}} \approx 0.89 \end{aligned}$ .

In other words, $89\%$ of the volume of this iceberg would have been submerged for buoyancy to balance the weight of this iceberg.

Answer from: Quest

answer;

d. are made mostly of liquid

explanation;

-the general composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.

Answer from: Quest

the unit of the measure = $\frac{j}{kgk}$

explanation:

the property that is quantified by the energy needed per of material to raise the temperature by one.

si unit of energy = joule (j)

si unit of temperature = kelvin (k)

si unit of mass of material = kilogram (kg)

the property that is quantified by the energy needed per of material to raise the temperature by one is called specific heat.

the unit of specific heat is $\frac{j}{kgk}$

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What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)
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