1. Two small plastic spheres are given positive electrical charges. When they 15.0 cm are apart, the repulsive force between them has magnitude 0.220 N. What is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other? 2. Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.00 nC and is at x = +4.00 cm Charge q1 is at x = +2.00 cm. What is q1 (magnitude and sign) if the net force on q3 is zero? 3. Three point charges are arranged along the -axis. Charge q1 = +3.00 µC is at the origin, and charge q2 = -5.00 µC is at x = 0.200 m. Charge q3 = -8.00 µC. Where is q3 located if the net force on q1 is 7.0Ô N in the -x direction? 4. Two point charges are located on the -axis as follows: charge q1 = -1.50 nC at y = -0.600 m, and charge q2 = +3.20 nC at the origin (y = 0). What is the total force (magnitude and direction) exerted by these two charges on a third charge q3 = +5.00 nC located at y = -0.400 m?

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Chapter1: Units, Trigonometry. And Vectors
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I added a sample problem so that you can see how to solve it. Please answer the problem the way it is shown in the sample problem.

Sample Problem:
1. Two point charges, q- +25 nC and q-75 nC, are separated by a distance
r= 3.0 cm. (See Figure). Find the magnitude and direction of the electric force
(a) that 9 exerts on 92 and (b) that 92 exerts on q1-
91= +25 nC = +2.5x10-c
92 = -75 nC -7.5x10c
r= 3.0 cm = 0.03 m
(a) Force that exerts on ga
F, = (9.0x10
N- m²\I(+25x10-C)(-75x10-°C )|
(0.03 m )
Illustration:
N- m
F, = (9.0r10)(+2.5x10-C)(-7,5x10-*C)|
FBD at 92
(0.03 m )
(a)
F, = 0.019 N
91
92
Fent
(b) Force that q exerts on
F = k-
F, = (90r10)
N - m²\I(+25x10-°C)(-75x10-°C)|
(0.03 m )
FBD at q1
(b)
-(9.0r10m(+2.5x10-#C )(-7,5x10-4C)l|
(0.03 m )
92
t on 1
F,
F, = 0.019 N
Transcribed Image Text:Sample Problem: 1. Two point charges, q- +25 nC and q-75 nC, are separated by a distance r= 3.0 cm. (See Figure). Find the magnitude and direction of the electric force (a) that 9 exerts on 92 and (b) that 92 exerts on q1- 91= +25 nC = +2.5x10-c 92 = -75 nC -7.5x10c r= 3.0 cm = 0.03 m (a) Force that exerts on ga F, = (9.0x10 N- m²\I(+25x10-C)(-75x10-°C )| (0.03 m ) Illustration: N- m F, = (9.0r10)(+2.5x10-C)(-7,5x10-*C)| FBD at 92 (0.03 m ) (a) F, = 0.019 N 91 92 Fent (b) Force that q exerts on F = k- F, = (90r10) N - m²\I(+25x10-°C)(-75x10-°C)| (0.03 m ) FBD at q1 (b) -(9.0r10m(+2.5x10-#C )(-7,5x10-4C)l| (0.03 m ) 92 t on 1 F, F, = 0.019 N
1. Two small plastic spheres are given positive electrical charges. When they 15.0 cm are apart, the repulsive
force between them has magnitude 0.220 N. What is the charge on each sphere (a) if the two charges are equal
and (b) if one sphere has four times the charge of the other?
2. Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.00 nC
and is at x = +4.00 cm Charge q1 is at x = +2.00 cm. What is q1 (magnitude and sign) if the net force on q3 is
zero?
3. Three point charges are arranged along the -axis. Charge q1 = +3.00 µC is at the origin, and charge q2 = -5.00
µC is at x = 0.200 m. Charge q3 = -8.00 µC. Where is q3 located if the net force on q1 is 7.00 N in the -x
direction?
4. Two point charges are located on the -axis as follows: charge q1 = -1.50 nC at y = -0.600 m, and charge q2 =
+3.20 nC at the origin (y = 0). What is the total force (magnitude and direction) exerted by these two charges
on a third charge q3 = +5.00 nC located at y = -0.400 m?
%3D
Transcribed Image Text:1. Two small plastic spheres are given positive electrical charges. When they 15.0 cm are apart, the repulsive force between them has magnitude 0.220 N. What is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other? 2. Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.00 nC and is at x = +4.00 cm Charge q1 is at x = +2.00 cm. What is q1 (magnitude and sign) if the net force on q3 is zero? 3. Three point charges are arranged along the -axis. Charge q1 = +3.00 µC is at the origin, and charge q2 = -5.00 µC is at x = 0.200 m. Charge q3 = -8.00 µC. Where is q3 located if the net force on q1 is 7.00 N in the -x direction? 4. Two point charges are located on the -axis as follows: charge q1 = -1.50 nC at y = -0.600 m, and charge q2 = +3.20 nC at the origin (y = 0). What is the total force (magnitude and direction) exerted by these two charges on a third charge q3 = +5.00 nC located at y = -0.400 m? %3D
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