1. Consider a system of two small spheres, one carrying a charge of 2.00 μC and the other a charge of -3.50 μC, with their centres separated by a distance of 0.250 m. a. Calculate the potential energy of the system. Assume zero potential energy when the charges are infinitely separated. b. Suppose that the positively-charged sphere is fixed in place and the negatively-charged sphere, having a mass of 1.50 g, is shot away from it. Show that the negatively-charged sphere would need an initial speed of 18.3 m/s to completely escape the attraction of the fixed sphere. (To escape, the negatively-charged sphere would reach zero velocity when it is infinitely distant from the fixed sphere.) c. Consider the original system-but with an additional fixed sphere having a charge of -1.00 μC placed at a distance of 0.500 m from the negatively-charged sphere. For this three-sphere system, find the initial potential energy of the negatively-charged (and mobile) sphere and the minimum initial speed that it needs to escape. Does the exact position of the additional fixed sphere matter? Has the minimum initial speed increased or decreased relative to part (b)? Why?

1. Consider a system of two small spheres, one carrying a charge of 2.00 μC and the other a charge of -3.50 μC, with their centres separated by a distance of 0.250 m. a. Calculate the potential energy of the system. Assume zero potential energy when the charges are infinitely separated. b. Suppose that the positively-charged sphere is fixed in place and the negatively-charged sphere, having a mass of 1.50 g, is shot away from it. Show that the negatively-charged sphere would need an initial speed of 18.3 m/s to completely escape the attraction of the fixed sphere. (To escape, the negatively-charged sphere would reach zero velocity when it is infinitely distant from the fixed sphere.) c. Consider the original system-but with an additional fixed sphere having a charge of -1.00 μC placed at a distance of 0.500 m from the negatively-charged sphere. For this three-sphere system, find the initial potential energy of the negatively-charged (and mobile) sphere and the minimum initial speed that it needs to escape. Does the exact position of the additional fixed sphere matter? Has the minimum initial speed increased or decreased relative to part (b)? Why?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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