A diver stands on a flat steel plate resting on the lakebed at a depth of in freshwater

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

Problem

A 70 kg70\,\text{kg} diver stands on a flat steel plate resting on the lakebed at a depth of 8.0 m8.0\,\text{m} in freshwater. The clay beneath the plate can tolerate a maximum additional pressure of 1.2×105 Pa1.2\times10^{5}\,\text{Pa} (above the pressure already exerted by the water at that depth). What is the minimum area of the plate that prevents the clay from being overloaded? (Use ρwater=1.0×103 kg m−3\rho_{\text{water}} = 1.0\times10^{3}\,\text{kg}\,\text{m}^{-3} and g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}.) (a) 1.6×10−2 m21.6\times10^{-2}\,\text{m}^2 (b) 3.5×10−3 m23.5\times10^{-3}\,\text{m}^2 (c) 5.7×10−3 m25.7\times10^{-3}\,\text{m}^2 (d) 5.8×10−4 m25.8\times10^{-4}\,\text{m}^2

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