Learning Goal: To understand how to calculate forces between charged particles, particularly the dependence on the sign of the charges and the distance between them. Coulomb's law describes the force that two charged particles exert on each other (by Newton's third law, those two forces must be equal and opposite). The force F21 exerted by particle 2 (with charge q₂) on particle 1 (with charge q₁) is proportional to the charge of each particle and inversely proportional to the square of the distance r between them: F21 = 9291 21. where k = 4TCO and 21 is the unit vector pointing from particle 2 to particle 1. The force vector will be parallel or antiparallel to the direction of f 21, parallel if the product 91 92 > 0 and antiparallel if q1 q2 <0; the force is attractive if the charges are of opposite sign and repulsive if the charges are of the same sign. Figure particle 0 particle 1 1 of 3 y ▼ ▼ Part A (Figure 1) Consider two positively charged particles, one of charge qo (particle 0) fixed at the origin, and another of charge q₁ (particle 1) fixed on the y-axis at (0, d₁, 0). What is the net force F on particle 0 due to particle 1? Express your answer (a vector) using any or all of k, go, q₁, d₁, i, j, and k. 10 ΑΣΦ F = Submit Part B X Incorrect; Try Again; 5 attempts remaining Previous Answers Request Answer F (Figure 2)Now add a third, negatively charged, particle, whose charge is -92 (particle 2). Particle 2 fixed on the y-axis at position (0, d2, 0). What is the new net force on particle 0, from particle 1 and particle 2? Express your answer (a vector) using any or all of k, qo, 91, 92, d₁, dz, i, j, and k. 10. ΑΣΦ Submit 1 ? Request Answer OWC ? The figure represents two particles in an xy

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Learning Goal:
To understand how to calculate forces between charged
particles, particularly the dependence on the sign of the
charges and the distance between them.
Coulomb's law describes the force that two charged particles
exert on each other (by Newton's third law, those two forces
must be equal and opposite). The force F21 exerted
by particle 2 (with charge q2) on particle 1 (with charge q₁) is
proportional to the charge of each particle and inversely
proportional to the square of the distance r between them:
Figure
F21
particle 0
=
k 92 91
p2
1
where k =
and 21 is the unit vector pointing
4περ
from particle 2 to particle 1. The force vector will be parallel
or antiparallel to the direction of 21, parallel if the product
91 92 > 0 and antiparallel if 9₁ 92 < 0; the force is attractive
if the charges are of opposite sign and repulsive if the
charges are of the same sign.
· 21,
particle 1
1 of 3 >
Part A
(Figure 1) Consider two positively charged particles, one of charge qo (particle 0) fixed at the origin, and another of charge q₁ (particle 1) fixed on the
y-axis at (0, d₁, 0). What is the net force on particle 0 due to particle 1?
Express your answer (a vector) using any or all of k, 90, 91, d₁, î, j, and k.
Submit Previous Answers Request Answer
ΑΣΦ
Part B
X Incorrect; Try Again; 5 attempts remaining
Submit
?
(Figure 2)Now add a third, negatively charged, particle, whose charge is -92 (particle 2). Particle 2 fixed on the y-axis at position (0, d2, 0). What is
the new net force on particle 0, from particle 1 and particle 2?
Express your answer (a vector) using any or all of k, 90, 91, 92, d₁, d2, î, j, and k.
VO | ΑΣΦ
Request Answer
?
The figure represents two particles in an xyz
coordinate system, labeled as particle 0 and
Transcribed Image Text:Learning Goal: To understand how to calculate forces between charged particles, particularly the dependence on the sign of the charges and the distance between them. Coulomb's law describes the force that two charged particles exert on each other (by Newton's third law, those two forces must be equal and opposite). The force F21 exerted by particle 2 (with charge q2) on particle 1 (with charge q₁) is proportional to the charge of each particle and inversely proportional to the square of the distance r between them: Figure F21 particle 0 = k 92 91 p2 1 where k = and 21 is the unit vector pointing 4περ from particle 2 to particle 1. The force vector will be parallel or antiparallel to the direction of 21, parallel if the product 91 92 > 0 and antiparallel if 9₁ 92 < 0; the force is attractive if the charges are of opposite sign and repulsive if the charges are of the same sign. · 21, particle 1 1 of 3 > Part A (Figure 1) Consider two positively charged particles, one of charge qo (particle 0) fixed at the origin, and another of charge q₁ (particle 1) fixed on the y-axis at (0, d₁, 0). What is the net force on particle 0 due to particle 1? Express your answer (a vector) using any or all of k, 90, 91, d₁, î, j, and k. Submit Previous Answers Request Answer ΑΣΦ Part B X Incorrect; Try Again; 5 attempts remaining Submit ? (Figure 2)Now add a third, negatively charged, particle, whose charge is -92 (particle 2). Particle 2 fixed on the y-axis at position (0, d2, 0). What is the new net force on particle 0, from particle 1 and particle 2? Express your answer (a vector) using any or all of k, 90, 91, 92, d₁, d2, î, j, and k. VO | ΑΣΦ Request Answer ? The figure represents two particles in an xyz coordinate system, labeled as particle 0 and
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