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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Floating equilibrium

Share support between two liquids

A uniform object of density 1100 kg/m³ floats fully immersed across an interface between deep immiscible liquids: 900 kg/m³ above and 1400 kg/m³ below. The available depths accommodate both portions, orientation is stable, and there is no tether or contact.

What fraction of its volume lies in the lower liquid?

Organize the givens & assumptions
  • ρbody = 1100 kg/m³
  • ρupper = 900 kg/m³
  • ρlower = 1400 kg/m³
  • Fully immersed

Settled hydrostatic equilibrium in uniform gravity; stable stated orientation, no contact forces unless stated, negligible air buoyancy and surface tension, no absorption, trapped gas or spilling.

  1. A11/1411/14
  2. B0.500.50
  3. C0.400.40
  4. D0.600.60

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