If the density of ice is 0.92 g/cm^3, what percent of an ice cube’s (or iceberg’s) mass is above water.
The density of water is 1 g/cm^3.
Archimedes' principle says that the "buoyancy" (the upward force) is equal to the weight of water that is displaced.
You're only given the density. Therefore, you can assume whatever mass of ice that you wish. If you pick 1 gram of ice, the volume of ice will be
1 gram / (0.92 g/cm^3) = 1.087 cm^3
If you immerse this in water, it will displace 1 gram of water. Since the density of water is 1 gram/cc, it will displace 1 cm^3 of water.
You have 1 cm^3 of water being displaced, and a total ice volume of 1.087 cm^3. Therefore, 0.087 cm^3 of ice is above the water
0.087 cm^3 / 1.087 cm^3 x 100% = 8%
To find the percentage of an ice cube's mass that is above water, we need to compare the density of ice to the density of water. Since ice is less dense than water, a portion of the ice cube will float above the water's surface.
First, let's assume the density of water is 1 g/cm^3.
To find the percentage of the ice cube's mass above water, we can use the following equation:
Percentage above water = (density of ice / density of water) * 100
Given that the density of ice is 0.92 g/cm^3 and the density of water is 1 g/cm^3, we can substitute these values into the equation:
Percentage above water = (0.92 / 1) * 100
Percentage above water = 92%
Therefore, approximately 92% of the ice cube's mass will be above the water.
To determine the percentage of an ice cube's mass that is above water, we need to understand the concept of buoyancy. According to Archimedes' principle, an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object.
In the case of an ice cube or an iceberg, part of it is submerged in water while the rest is above the water surface. The fraction above the water surface depends on the density of the ice and water.
Now, let's calculate the fraction of the ice cube's mass that is above water.
1. Start by finding the density of water. The density of water is approximately 1 g/cm^3.
2. Knowing the density of ice (0.92 g/cm^3) and water (1 g/cm^3), we can calculate the fraction of the ice cube's volume that is submerged using the ratio of the densities:
Fraction submerged = density of ice / density of water
Fraction submerged = 0.92 g/cm^3 / 1 g/cm^3
Fraction submerged ≈ 0.92
This means that approximately 92% of the ice cube's volume is submerged underwater.
3. Since the density of ice remains constant, the fraction of the ice cube's mass above water is the complement of the fraction submerged:
Fraction above water = 1 - Fraction submerged
Fraction above water = 1 - 0.92
Fraction above water ≈ 0.08
Therefore, approximately 8% of the ice cube's mass is above water.
So, the answer to the question is that about 8% of an ice cube's (or iceberg's) mass is above water.