Analyze The directions of the individual forces exerted by q, and q, on 9z are shown in the figure. The force F23 exerted by 9, on 9z is -Select--- because q, and 9, have opposite signs. In the coordinate sys shown in the figure, the force F23 is to the left (in the negative x-direction). The force F,, exerted by q, on q, is -Select- 9 because both charges are positive. The force F,a makes an angle of 45.0° with the x-axis. 93 Use Coulomb's law to find the magnitude of F22 (in N): 192|193| F23 = ke a2 Find the magnitude of the force F13 (in N): F13 = ketvz a)2 Find the x- and y-components of the force F,3 (in N): F13x - (F13)cos(45.0°) = F13y = (F13)sin(45.0°) = Find the components of the resultant force (in N) acting on 93: F3x = F13x + F23x = F3y = F13y + F23y = N + (-4.37 N) N +ON Express the resultant force (in N) acting on 9z in unit-vector form: i+

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Analyze The directions of the individual forces exerted by q, and q, on qz are shown in the figure. The force F23 exerted by q, on q3 is (---Select--
because q, and q, have opposite signs. In the coordinate system
shown in the figure, the force F23 is to the left (in the negative x-direction).
The force F,3 exerted by q, on 93 is
--Select--- +) because both charges are positive. The force F.
13
makes an angle of 45.0° with the x-axis.
Use Coulomb's law to find the magnitude of F23 (in N):
192|193|
F23 = ke
a2
N
Find the magnitude of the force F13 (in N):
19.|193|
F13 = Ke(vz a)?
N
Find the x- and y-components of the force F13 (in N):
F13x
F13y
(F13)cos(45.0°) =
(F13)sin(45.0°) =
N
N
Find the components of the resultant force (in N) acting on q3:
F3x = F13x + F23x
N + (-4.37 N)
F3y = F13y + F23y
N + ON
Express the resultant force (in N) acting on q3 in unit-vector form:
F, (
5) N
î +
3.
Transcribed Image Text:Analyze The directions of the individual forces exerted by q, and q, on qz are shown in the figure. The force F23 exerted by q, on q3 is (---Select-- because q, and q, have opposite signs. In the coordinate system shown in the figure, the force F23 is to the left (in the negative x-direction). The force F,3 exerted by q, on 93 is --Select--- +) because both charges are positive. The force F. 13 makes an angle of 45.0° with the x-axis. Use Coulomb's law to find the magnitude of F23 (in N): 192|193| F23 = ke a2 N Find the magnitude of the force F13 (in N): 19.|193| F13 = Ke(vz a)? N Find the x- and y-components of the force F13 (in N): F13x F13y (F13)cos(45.0°) = (F13)sin(45.0°) = N N Find the components of the resultant force (in N) acting on q3: F3x = F13x + F23x N + (-4.37 N) F3y = F13y + F23y N + ON Express the resultant force (in N) acting on q3 in unit-vector form: F, ( 5) N î + 3.
Consider three point charges located at the corners of a right triangle as shown in the figure, where q, = 93
3 3.50 иС, q2
= -2.00 µC, and a = 0.120 m. Find the resultant force exerted on g3.
The force exerted by q, on q, is F13: The force
exerted by q2 on 93 is F23. The resultant force F3
is the vector sum F13 + F23·
a
23
92
93
a
2a
91 +
Transcribed Image Text:Consider three point charges located at the corners of a right triangle as shown in the figure, where q, = 93 3 3.50 иС, q2 = -2.00 µC, and a = 0.120 m. Find the resultant force exerted on g3. The force exerted by q, on q, is F13: The force exerted by q2 on 93 is F23. The resultant force F3 is the vector sum F13 + F23· a 23 92 93 a 2a 91 +
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