Problem 33P

(II) The specific gravity of ice is 0.917, whereas that of seawater is 1.025. What percent of an iceberg is above the surface of the water?

Solution 33P:

Whenever an object is kept placed on the surface of water, buoyancy force acts on the object. We have to determine the fraction of the iceberg above the surface of the water.

Approach:

We can determine the fraction of an iceberg above the surface of water by weight of the water displaced by the immersed part of iceberg is equal to the total weight of iceberg.

Step 1 of 2

Concept:

When an ice float on the surface of the seawater, then according to Archimedes principle the buoyant force acts on the ice in the upward direction which is equal to the weight of the ice.

…(1)

The buoyancy force acting on the ice, whose volume is immersed inside the water of density is given as,

…(2)

Specific gravity of the substance is defined as the ratio of density of the substance to density of water. Mathematically.

…(3)