1
2
(
)
(
)
(
)
(
)
2
2
2
2
12
2
1
2
1
0.020
0.035
0.015
0.005
0.056 m.
r
x
x
y
y
=
−
+
−
=
−
−
+
−
=
The magnitude of the force exerted by
q
1
on
q
2
is
(
) (
) (
)
9
6
6
1
2
21
2
2
12
8.99 10
3.0 10
4.0 10


35 N.
(0.056)
q q
F
k
r
−
−
×
×
×
=
=
=
(b) The vector
G
F
21
is directed towards
q
1
and makes an angle
θ
with the +
x
axis, where
1
1
2
1
2
1
1.5
0.5
tan
tan
10.3
10 .
2.0
3.5
y
y
x
x
θ
−
−
§
·
−
−
§
·
=
=
= −
°≈ −
°
¨
¸
¨
¸
−
−
−
©
¹
©
¹
(c) Let the third charge be located at (
x
3
,
y
3
), a distance
r
from
q
2
. We note that
q
1
,
q
2
and
q
3
must be collinear; otherwise, an equilibrium position for any one of them would be
impossible to find. Furthermore, we cannot place
q
3
on the same side of
q
2
where we also
find
q
1
, since in that region both forces (exerted on
q
2
by
q
3
and
q
1
) would be in the same
direction (since
q
2
is attracted to both of them). Thus, in terms of the angle found in part
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 Spring '09
 Bolton
 Force, Electric charge, Vector Motors, Star Wars Episode V: The Empire Strikes Back

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