A uniform cylindrical log of density is placed gently at the interface of two…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A uniform cylindrical log of density 920 kg m−3920\,\text{kg m}^{-3} is placed gently at the interface of two immiscible liquids that do not mix. The upper liquid is oil of density 800 kg m−3800\,\text{kg m}^{-3} and the lower liquid is water of density 1000 kg m−31000\,\text{kg m}^{-3}. After equilibrium is reached the log floats partly in oil and partly in water. What percentage of the log’s volume is immersed in the water layer? (a) 40\% (b) 50\% (c) 60\% (d) 70\%

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