78. To be as general as possible, we denote the ratio of body density to water density as f(so that f= ρ/w= 0.95 in this problem). Floating involves equilibrium of vertical forces acting on the body (Earth’s gravity pulls down and the buoyant force pushes up). Thus, bgwwFFgVgVρρ=¡=whereVis the total volume of the body and Vwis the portion of it which is submerged. (a) We rearrange the above equation to yield wwVfV==which means that 95% of the body is submerged and therefore 5.0% is above the water
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.