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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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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.
 Spring '08
 Any
 Physics, Force, Gravity

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