Particle 1 carrying 5.9 pC of charge is fixed at the origin of a rectangular coordinate system, particle 2 carrying -8.8 µC is fixed 45° above the positive horizontal x-axis 2.5 mm from the origin, and particle 3 carrying -8.8 µC is fixed 45° below the positive horizontal x-axis 2.5 mm from the origin. Where on the a-axis should you place a fourth particle of-5.9 C so that the vector sum of the electric forces exerted on particle l is zero?

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Particle 1 carrying 5.9 pC of charge is fixed at the origin of a rectangular coordinate system, particle 2 carrying-8.8 µC is fixed
45° above the positive horizontal x-axis 2.5 mm from the origin, and particle 3 carrying -8.8 µC is fixed 45° below the positive
horizontal x-axis 2.5 mm from the origin. Where on the a-axis should you place a fourth particle of -5.9 µC so that the vector
sum of the electric forces exerted on particle 1 is zero?
Calculate the value of the position of the fourth charge on the r- axis in mm and type your answer correct to within one decimal
place. Use a period (full stop) for a decimal place, eg. 500.0 - Do not use a comma or input your answer in some form of scientific
notation. Do NOT include units in your answer.
Transcribed Image Text:Particle 1 carrying 5.9 pC of charge is fixed at the origin of a rectangular coordinate system, particle 2 carrying-8.8 µC is fixed 45° above the positive horizontal x-axis 2.5 mm from the origin, and particle 3 carrying -8.8 µC is fixed 45° below the positive horizontal x-axis 2.5 mm from the origin. Where on the a-axis should you place a fourth particle of -5.9 µC so that the vector sum of the electric forces exerted on particle 1 is zero? Calculate the value of the position of the fourth charge on the r- axis in mm and type your answer correct to within one decimal place. Use a period (full stop) for a decimal place, eg. 500.0 - Do not use a comma or input your answer in some form of scientific notation. Do NOT include units in your answer.
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