Predict/Calculate Problem 19.31 IP The point charges in the figure(Figure 1) hav

ID: 1534094 • Letter: P

Question

Predict/Calculate Problem 19.31

IP The point charges in the figure(Figure 1) have the following values: q1 = 2.3 C , q2 = 6.6 C , q3 = -0.91 C .

Part A

Given that the distance d in the figure is 4.42 cm , find the direction and magnitude of the net electrostatic force exerted on the point charge q1.

Express your answer using two significant figures.

Part B

Express your answer using three significant figures.

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Part C

How would your answer to part A change if the distance d were doubled?

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Correct

Part D

Explain.

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Figure 1 of 1

Fnet = N

Part A: q1 = 2.3 C , q2 = 6.6 C , q3 = -0.91 C . d = 4.42 cm

F1 = F12 +F13

F13= kq1q3/d^2 = 9*10^9*2.3*10^-6*0.91*10^-6/0.0442^2

F13 = 9.642 i

F12 = kq1*q2/d^2 = 9*10^9*2.3*10^-6*6.6*10^-6/0.0442^2

F12 = 69.93 N

F12 = - 69.93*cos(60)i -69.93sin(60)j

F12 = -34.965 i -60.56 j

F1 = -34.965 i -60.56 j +9.642 i

F1 = -25.323 i -60.56 j

magnitude = (25.323^2+60.56^2)^0.5 = 66 N

direction: tan(theta) = -60.56/-25.323

= 67.3 degrees

(d) From Columb's law

force between two charge is inversely propotional to square of distance between two charges F = kq1q2/r^2