Ice has a density of ice is 916.7kg/m3. Seawater has a density of 1030kg/m3. (a)

Question

Ice has a density of ice is 916.7kg/m3. Seawater has a density of 1030kg/m3.

(a) Suppose a iceberg that is shaped like a cube has sides of length 10 m and floats in the ocean such that one side is horizontal. What volume of the iceberg is underwater? Hint: In equilibrium we know that the buoyancy force must be equal and opposite the force of gravity acting on the iceberg. Write the buoyancy force in terms of the unknown volume V and solve for it.

(b) How far does the iceberg stick out of the water, i.e. how high is the top of iceberg above the surface of the water?

Explanation / Answer

weight of ice burg= buoyancy force

=> density * volume of iceburg = volume of underwater iceburg ( water displaced ) * density of water

=> 916.7 * 103  = 102 * H * 1030

(a) 8.9 m is under the water

( b) above the water = 10-8.9

=1.1 meter

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