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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10¬12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, m, = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. R 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= 16 cm and the magnitude of the charges are as follows : q1 = q5 = 19 µC, q2 = q4 = 14 µC and q3 = 96 = -26 µC. a) Find the vector that points from q1 to q6 and call it 71.6- x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m b) Calculate the coulomb force on q6 due to qı in unit vector notation and call it F1.6- x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. N 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 y component of the vector Give your answer to at least three significance digits. m

Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10¬12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, m, = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. R 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= 16 cm and the magnitude of the charges are as follows : q1 = q5 = 19 µC, q2 = q4 = 14 µC and q3 = 96 = -26 µC. a) Find the vector that points from q1 to q6 and call it 71.6- x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m b) Calculate the coulomb force on q6 due to qı in unit vector notation and call it F1.6- x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. N 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 y component of the vector Give your answer to at least three significance digits. m

College Physics
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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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 x 10-12, of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me symbol carries their usual meaning. For example, µC means micro coulomb. F/m. Magnitude kg. Unless specified otherwise, each 9.10938356 × 10–31 R 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 = 16 cm and the magnitude of the charges are as follows : q1 = 95 = 19 µC, q2 = q4 = 14 µC and q3 = 96 = -–26 µC. a) Find the vector that points from q1 to q6 and call it 71,6- x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m b) Calculate the coulomb force on 96 due to q1 in unit vector notation and call it F16. x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. 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 y component of the vector Give your answer to at least three significance digits. d) Calculate the coulomb force on 96 due to q3 in unit vector notation and call it F3.6: x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N e) Find the vector that points from q4 to q6 and call it r4,6. x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m f) Calculate the coulomb force on 96 due to q4 in unit vector notation and call it F46- x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. g) Calculate the Net Electric force on q6 due to all other charges. x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 x 10-12, of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me symbol carries their usual meaning. For example, µC means micro coulomb. F/m. Magnitude kg. Unless specified otherwise, each 9.10938356 × 10–31 R 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 = 16 cm and the magnitude of the charges are as follows : q1 = 95 = 19 µC, q2 = q4 = 14 µC and q3 = 96 = -–26 µC. a) Find the vector that points from q1 to q6 and call it 71,6- x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m b) Calculate the coulomb force on 96 due to q1 in unit vector notation and call it F16. x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. 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 y component of the vector Give your answer to at least three significance digits. d) Calculate the coulomb force on 96 due to q3 in unit vector notation and call it F3.6: x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N e) Find the vector that points from q4 to q6 and call it r4,6. x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m f) Calculate the coulomb force on 96 due to q4 in unit vector notation and call it F46- x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. g) Calculate the Net Electric force on q6 due to all other charges. x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits.
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