ch14-p078 - 78. To be as general as possible, we denote the...


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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, bg w w F F gV gV ρρ = ¡ = where V is the total volume of the body and V w is the portion of it which is submerged. (a) We rearrange the above equation to yield w w V f V == which means that 95% of the body is submerged and therefore 5.0% is above the water
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