Please show all work and do all parts dTwo conducting spheres of the same size and composition arepositioned with their centers 0.15 m apart as shown in Figure A.One sphere is given a charge of 14 nC and the other sphere isgiven a charge of -13 nC.Recall that the metric prefix n = 10-9.ABa. Find the magnitude of the electrostatic force the spheresexert on each other.F =Nb. Now, the spheres are connected by a conducting wire asshown in Figure B. Determine the charge on each sphere onceequilibrium is reached and the magnitude of the electrostaticforce between the two spheres.Q =F =nCNSubmit Question1640+14410 ▶11DIpr

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College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Please show all work and do all parts

d
Two conducting spheres of the same size and composition are
positioned with their centers 0.15 m apart as shown in Figure A.
One sphere is given a charge of 14 nC and the other sphere is
given a charge of -13 nC.
Recall that the metric prefix n = 10-9.
A
B
a. Find the magnitude of the electrostatic force the spheres
exert on each other.
F =
N
b. Now, the spheres are connected by a conducting wire as
shown in Figure B. Determine the charge on each sphere once
equilibrium is reached and the magnitude of the electrostatic
force between the two spheres.
Q =
F =
nC
N
Submit Question
16
40
+
144
10 ▶11
DI
pr

Expert Solution

Step 1

a. The magnitude of the electrostatic force between the two spheres can be calculated using Coulomb's law:

F = k * q1 * q2 / d^2

where k is the Coulomb constant, approximately 9 x 10^9 N m^2/C^2, q1 is the charge on the first sphere, q2 is the charge on the second sphere, and d is the distance between their centers.

Substituting the values given, we get:

F = (9 x 10^9 N m^2/C^2) * (14 x 10^-9 C) * (-13 x 10^-9 C) / (0.15 m)^2 = -145.6 N

Note that the negative sign indicates that the force is attractive, meaning the spheres are pulled toward each other.

Therefore, the magnitude of the electrostatic force the spheres exert on each other is 145.6 N.

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