37. (a) The downward force of gravity
mg
is balanced by the upward buoyant force of the
liquid:
mg =
ρ
g V
s
. Here
m
is the mass of the sphere,
is the density of the liquid, and
V
s
is the submerged volume. Thus
m =
V
s
. The submerged volume is half the total volume
of the sphere, so
()
3
1
2
43
s
o
Vr
=π
, where
r
o
is the outer radius. Therefore,
33
3
22
800 kg/m
(0.090 m)
1.22 kg.
o
mr
ππ
§·
==
=
¨¸
©¹
(b) The density
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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, Mass

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