Question

Three charges labelled A, B, and C are arranged along the same vertical line. Charge A is at the top and has a charge of 1.0 nanocoulomb. Charge B has a negative 2.0 nanocoulomb charge and is located at a distance a beneath charge A. Charge C has a positive 2.0 nano-coulomb charge and is located at a distance b beneath charge B. Part A What is the net electric force on charge B in (Figure 1)? Suppose that a = 1.8 cm and b = 0.90 cm. Express your answer to two significant figures and include the appropriate units. Enter negative value if the force is directed downward and positive value if the force is directed upward.

          Three charges labelled A, B, and C are arranged along the same
vertical line. Charge A is at the top and has a charge of 1.0
nanocoulomb. Charge B has a negative 2.0 nanocoulomb charge and is
located at a distance a beneath charge A. Charge C has a positive
2.0 nano-coulomb charge and is located at a distance b beneath
charge B. Part A What is the net electric force on charge B in
(Figure 1)? Suppose that a = 1.8 cm and b = 0.90 cm. Express your
answer to two significant figures and include the appropriate
units. Enter negative value if the force is directed downward and
positive value if the force is directed upward.

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Added by Sebastian S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ryan Mcnamara

06/07/2022

Step 1

0 \times 10^{-9} \, \text{C} \) (charge of A) \( q_{B} = -2.0 \times 10^{-9} \, \text{C} \) (charge of B) \( r_{AB} = 0.018 \, \text{m} \) (distance between A and B) \[ F_{AB} = (9 \times 10^9) \frac{(1.0 \times 10^{-9})(-2.0 \times 10^{-9})}{(0.018)^2} \] \[ Show more…

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Three charges labelled A, B, and C are arranged along the same vertical line. Charge A is at the top and has a charge of 1.0 nanocoulomb. Charge B has a negative 2.0 nanocoulomb charge and is located at a distance a beneath charge A. Charge C has a positive 2.0 nano-coulomb charge and is located at a distance b beneath charge B. Part A What is the net electric force on charge B in (Figure 1)? Suppose that a = 1.8 cm and b = 0.90 cm. Express your answer to two significant figures and include the appropriate units. Enter negative value if the force is directed downward and positive value if the force is directed upward.

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Transcript

00:01 Okay, so i've drawn a diagram to match this description here.

00:03 We've got a, b, and c.

00:05 A and b are 1 .8 meters apart.

00:08 Actually, i apologize.

00:09 This is centimeters, not meters, and i didn't even write it on here.

00:12 Centimeters.

00:14 And then you got one nanoculum, negative 2, and positive 2.

00:18 We want to know the net force on b.

00:21 So the net force on b is going to be the force of a on b plus the force of c on b.

00:30 Okay, the force of a on b is going to be.

00:32 Due to kulam's law, it's going to be k, charge of a, charge of b over the distance squared, and that is, they call this distance a and distance b.

00:45 So we'll say over a squared.

00:48 And then we're going to do plus, erase that random dot there, a k, q, this is going to be b and c, and then over the distance b squared.

01:01 Okay, so we're going to add all this together to get our net force.

01:04 So we're going to have 9 times 10 to the 9th.

01:07 That's k.

01:09 Q for a is 1 times 10 to the negative 9th.

01:12 That's a nanoculum.

01:14 Q for b is negative 2 times 10 to the 9th.

01:19 And then the distance, we need to do this in meters.

01:22 So 0 .118 meters...

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