To find the fraction of the cork that is immersed when it floats in water, we need to compare the density of the cork to the density of water.
Density = Mass / Volume
Since the mass of the cork is given as 20g and the density of cork is given as 0.25g/cm^3, we can find the volume of the cork:
Volume = Mass / Density = 20g / 0.25g/cm^3 = 80 cm^3
Next, we need to find the density of water. The density of water is approximately 1g/cm^3.
To find the fraction of the cork that is immersed, we need to compare the volume of the cork that is submerged in water to the total volume of the cork.
When the cork floats in water, it displaces an amount of water equal to its own weight. So, the volume of water displaced is equal to the volume of the cork.
The volume of the cork that is submerged can be found using Archimedes' principle:
Volume submerged = Volume of water displaced = Volume of cork = 80 cm^3
The total volume of the cork is 80 cm^3, and the volume submerged is also 80 cm^3. Therefore, the fraction of the cork that is immersed is:
Fraction immersed = Volume submerged / Total volume = 80 cm^3 / 80 cm^3 = 1
So, when the cork floats in water, the entire cork is immersed.
The mass of a piece of cork is 20g. What fraction of the cork is immersed when it floats in water?
Take denisty of cork to be 0.25g/cm^3
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