The Floating Ice Cube Mystery · AI Generator #GEN-589DBABF

Physics · fluid-mechanics

Problem

A bartender notices something curious while preparing drinks. When she drops a cubic ice cube with side length a=2.0  cma = 2.0\;\text{cm} into a glass of water, it floats with exactly 90%90\% of its volume submerged. Later, she drops the same ice cube into a glass of ethanol, where it sinks completely to the bottom. Determine the density of the ice cube. The density of water is ρw=1000  kg/m3\rho_w = 1000\;\text{kg/m}^3 and the density of ethanol is ρe=789  kg/m3\rho_e = 789\;\text{kg/m}^3.

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