434 Fluid MechanicsP14.70Let sstand for the edge of the cube, hfor the depth of immersion, ρicestand for the density of theice, wstand for density of water, and astand for density of the alcohol.(a)According to Archimedes’s principle, at equilibrium we haveρρiceicegsghshsww32=⇒=Withice3kg m=×0917 103.w100 103. kgm3ands=20 0. mmwe geth==≈20 0 0 91718 3418 3....afmmmm(b)We assume that the top of the cube is still above the alcohol surface. Letting hastand for thethickness of the alcohol layer, we haveaawwgs hgs hgs223+=icesohshwwawa=FHGIKJ−FH
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .