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17. (a) The distance between
q
1
and
q
2
is
()
(
)
22
2
2
12
2
1
2
1
0.020 m 0.035 m
0.015 m 0.005 m
0.056 m.
rx
xy
y
=−
+
−
=
−
−
+
−
=
The magnitude of the force exerted by
q
1
on
q
2
is
( ) ( )
92
2
6
6
12
21
12
8.99 10 N m C
3.0 10 C
4.0 10 C

35 N.
(0.056 m)
qq
Fk
r
−−
×⋅
×
×
==
=
(b) The vector
G
F
21
is directed towards
q
1
and makes an angle
θ
with the +
x
axis, where
11
21
1.5 cm 0.5 cm
tan
tan
10.3
10 .
2.0 cm 3.5 cm
yy
xx
⎛⎞
−
−
=
−
°
≈
−
°
⎜⎟
−
⎝⎠
(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
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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

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