A solid sphere floats at the boundary between an upper layer of oil ( ) and a lower…

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

Problem

A solid sphere floats at the boundary between an upper layer of oil (ρ=800 kg m−3\rho=800\,\text{kg}\,\text{m}^{-3}) and a lower layer of water (ρ=1000 kg m−3\rho=1000\,\text{kg}\,\text{m}^{-3}). Half of the sphere’s volume is in the oil and half is in the water. What is the density of the sphere? (a) 1000 kg m−31000\,\text{kg}\,\text{m}^{-3} (b) 800 kg m−3800\,\text{kg}\,\text{m}^{-3} (c) 900 kg m−3900\,\text{kg}\,\text{m}^{-3} (d) 850 kg m−3850\,\text{kg}\,\text{m}^{-3}

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