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85. We use
m
1
for the 20 kg of the sphere at (
x
1
,
y
1
) = (0.5, 1.0) (SI units understood),
m
2
for the 40 kg of the sphere at (
x
2
,
y
2
) = (
−
1.0,
−
1.0), and
m
3
for the 60 kg of the sphere at
(
x
3
,
y
3
) = (0,
−
0.5). The mass of the 20 kg object at the origin is simply denoted
m
. We
note that
12
1.25,
2
rr
==
, and
r
3
= 0.5 (again, with SI units understood). The force
n
F
G
that the
n
th
sphere exerts on
m
has magnitude
2
/
nn
Gm m r
and is directed from the origin
towards
m
n
, so that it is conveniently written as
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Mass

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