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College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two small beads having positive charges q,
19q and
92
= q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q, is at the origin. As shown in
the figure below, a third small, charged bead is free to slide on the rod.
92
(a) At what position x is the third bead in equilibrium?
X =
(b) Can the equilibrium be stable?
O Yes, if the third bead has a positive charge.
O Yes, if the third bead has a negative charge.
No
Transcribed Image Text:Two small beads having positive charges q, 19q and 92 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q, is at the origin. As shown in the figure below, a third small, charged bead is free to slide on the rod. 92 (a) At what position x is the third bead in equilibrium? X = (b) Can the equilibrium be stable? O Yes, if the third bead has a positive charge. O Yes, if the third bead has a negative charge. No
Expert Solution
Step 1

(a)

At equilibrium the net force is zero

F13=F23kq1qx2=kq2qd-x2q1x2=q2d-x2d-x2x2=q2q1d-xx=q2q11.5 m-xx=q19q1.5 m-x=0.2294x1.2294x=1.5 mx=1.5 m1.2294  =1.22 m

Therefore, the third bead will be at equilibrium when x=1.22 m

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