Question

A body floats in water on earth with 90% in water. What fraction of body will be inside water at an altitude h=R/2

Answer 1

Explanation:

Since the body is 60% submerged in water, it's density has to be 0.6 g/cc

Since the body remains 40% submerged in oil, the density of oil has to be 0.6/0.4=1.5 g/cc, which is weird since almost all oils have density less than water. But let's go ahead with the question.

Relative density = 1.5/1.0 = 1.5 = K/2

Hence, K = 3

Note: if a body remains x% submerged in a liquid of density y, then the density of the body is (x% of y)