A wooden block of height and density is placed upright in a tank containing of oil of…

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

Problem

A wooden block of height 20 cm20\,\text{cm} and density 820 kg m−3820\,\text{kg m}^{-3} is placed upright in a tank containing 12 cm12\,\text{cm} of oil of density 700 kg m−3700\,\text{kg m}^{-3} over water of density 1000 kg m−31000\,\text{kg m}^{-3}. The top of the block stays level with the oil surface. How much of the block’s height is immersed in the water? (a) 6 cm6\,\text{cm} (b) 11 cm11\,\text{cm} (c) 8 cm8\,\text{cm} (d) 4 cm4\,\text{cm}

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