Suppose you have 5 point charges q1 to q5 distributed along a semi-circle maintaining equal distance. The charge q6 is at the center of the circle. The radius of the semi-circle is R=45cm and the magnitude of the charges are as follows : q1=q5=28μC, q2=q4=25μC and q3=q6=−15μC. b) Calculate the coulomb force on q6 due to q1 in unit vector notation and call it F1,6-x component of the forceGive your answer to at least three significance digits.N Xy component of the forceGive your answer to at least three significance digits.c) Find the vector that points from q3 to q6 and call it 73,6-x component of the vectorGive your answer to at least three significance digits.m xY component of the vectorGive your answer to at least three significance digits.m X Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitudeof the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, mẹ = 9.10938356 × 10 kg. Unless specified otherwise, eachsymbol carries their usual meaning. For example, uC means micro coulomb .-31PR

q1 = q5 = 28 x 10-6 C q2 = q4 = 25 x 10-6 C q3 = q6 = -15 x 10-6 C

b) Calculate the coulomb force on q6 due to qi in unit vector notation and call it F1,6- x component of the force Give your answer to at least three significance digits. N X y component of the force Give your answer to at least three significance digits. N X c) Find the vector that points from q3 to q6 and call it r3,6- x component of the vector Give your answer to at least three significance digits. m X Y component of the vector Give your answer to at least three significance digits. m X

b) Calculate the coulomb force on q6 due to qi in unit vector notation and call it F1,6- x component of the force Give your answer to at least three significance digits. N X y component of the force Give your answer to at least three significance digits. N X c) Find the vector that points from q3 to q6 and call it r3,6- x component of the vector Give your answer to at least three significance digits. m X Y component of the vector Give your answer to at least three significance digits. m X

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 16P

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