Consider three point charges located at the corners of a right triangle as shown in the figure, where q, = 93 = 3.50 µc, q, = -2.00 µC, and a = 0.120 m. Find the resultant force exerted on 93. The force exerted by q, on a, is F13. The force exerted by 92 on 93 is F23. The resultant force F3 is the vector sum F13 + F23 F13 VZa 91 +

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Conceptualize Think about the net force on q3. Because charge q3 is near two other charges, it will experience two electric forces. These forces are exerted in different directions as shown in the figure. Based on
the forces shown in the figure, estimate the direction of the net force vector.
O directly towards the right
towards the left and upward
towards the right and downward
directly towards the left
+ problem.
Categorize Because two forces are exerted on charge q3, we categorize this example as a vector ( --Select---
Analyze The directions of the individual forces exerted by q, and q, on q3 are shown in the figure. The force F,3 exerted by q, on q3 is (---Select--- ) because q, and q, have opposite signs. In the coordinate
system shown in the figure, the force F,3 is to the left (in the negative x-direction).
exerted by q, on 93 is
-Select--- +) because both charges are positive. The force F,3 makes an angle of 45.0° with the x-axis.
The force
13
(in N):
F23
Use Coulomb's law to find the magnitude of
192|1931
a?
N
F23 = ke
13
(in N):
Find the magnitude of the force F.
N
= k
F13
Ke(vz a)?
13
Find the x- and y-components of the force F,3 (in N):
N
F13x = (F13)cos(45.0°) =
F13y = (F13)sin(45.0°) =
%3D
N
Find the components of the resultant force (in N) acting on q3:
N + (-4.37 N)
F3x
+ F23x
F13x
N + O N
F3y
+ F23y
F13y
Express the resultant force (in N) acting on q, in unit-vector form:
i) N
F3
Transcribed Image Text:Conceptualize Think about the net force on q3. Because charge q3 is near two other charges, it will experience two electric forces. These forces are exerted in different directions as shown in the figure. Based on the forces shown in the figure, estimate the direction of the net force vector. O directly towards the right towards the left and upward towards the right and downward directly towards the left + problem. Categorize Because two forces are exerted on charge q3, we categorize this example as a vector ( --Select--- Analyze The directions of the individual forces exerted by q, and q, on q3 are shown in the figure. The force F,3 exerted by q, on q3 is (---Select--- ) because q, and q, have opposite signs. In the coordinate system shown in the figure, the force F,3 is to the left (in the negative x-direction). exerted by q, on 93 is -Select--- +) because both charges are positive. The force F,3 makes an angle of 45.0° with the x-axis. The force 13 (in N): F23 Use Coulomb's law to find the magnitude of 192|1931 a? N F23 = ke 13 (in N): Find the magnitude of the force F. N = k F13 Ke(vz a)? 13 Find the x- and y-components of the force F,3 (in N): N F13x = (F13)cos(45.0°) = F13y = (F13)sin(45.0°) = %3D N Find the components of the resultant force (in N) acting on q3: N + (-4.37 N) F3x + F23x F13x N + O N F3y + F23y F13y Express the resultant force (in N) acting on q, in unit-vector form: i) N F3
3.50 µC, 92
= -2.00 µC, and a = 0.120 m. Find the resultant force exerted on g2.
93
Consider three point charges located at the corners of a right triangle as shown in the figure, where q,
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
F13
F
a
23
92
93
a
VTa
91 +
Transcribed Image Text:3.50 µC, 92 = -2.00 µC, and a = 0.120 m. Find the resultant force exerted on g2. 93 Consider three point charges located at the corners of a right triangle as shown in the figure, where q, 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 F13 F a 23 92 93 a VTa 91 +
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