A cylindrical wooden log of radius and length has a density of

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

Problem

A cylindrical wooden log of radius 10 cm10\,\text{cm} and length 1.0 m1.0\,\text{m} has a density of 600 kg m−3600\,\text{kg\,m}^{-3}. How much additional mass can be placed on the log so that it just begins to sink when floated in fresh water (1000 kg m−3)(1000\,\text{kg\,m}^{-3})? (a) 18.8 kg18.8\,\text{kg} (b) 12.6 kg12.6\,\text{kg} (c) 31.4 kg31.4\,\text{kg} (d) 7.5 kg7.5\,\text{kg}

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