Ice floats in water with about nine tenths of its volume submerged. What is the fractional volume submerged for an ice berg floating on a fresh water lake of a (hypothetical) planet whose gravity is ten times that of the earth?
Key points of the task:
Ice floats in water with about nine tenths of its volume submerged.
A hypothetical planet where the gravity is ten times of earth.
However, the fractional volume which is generally represented as dV/ V is independent to acceleration due to gravity.
Hence the change in the gravity from earth to a hypothetical planet having the gravity which is ten times of the earth’s gravity does not have any significant impact on the fractional volume of ice getting submerged to the fresh water lake.
Hence, the fractional volume submerged for an ice berg floating on a fresh water lake of a (hypothetical) planet whose gravity is ten times that of the earth will also be 9/10
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