Imagine that you ve been invited to try out a new hoversuit , and here s how it works: Someone has set up a large flat sheet, many kilometers across, somewhere on the Earth, and they ve charged the sheet up to a uniform charge density of 1.42 x 10^-6 C/m2. You are issued a special suit that you wear, and it has controls on it which allow you to charge the suit up to any number of Coulombs (C), positive or negative, that you might want. The idea is that you can control the amount of electrical repulsion (or attraction) between the suit and the charged sheet below you. What is the strength of the electric field in the region above the charged sheet? (This is easy, since I m going to give you the formula, which is E = 2 pi k Q/A, where k is the electrical constant and Q/A is the charge density.) Same situation, but this time the charge density in the sheet is 1.69 x 10^-6 C. Suppose your mass (including the suit) is 87.3 kg. How much charge must you give the suit if you want to fall up , that is, accelerate upward at the same rate that objects normally accelerate downward due to Earth s gravity?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter16: Electrical Energy And Capacitance
Section: Chapter Questions
Problem 20P: A proton and an alpha particle (charge = 2e, mass = 6.64 1027 kg) are initially at rest, separated...
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Imagine that you ve been invited to try out a new hoversuit , and here s how it works: Someone has set up a large flat sheet, many kilometers across, somewhere on the Earth, and they ve charged the sheet up to a uniform charge density of 1.42 x 10^-6 C/m2. You are issued a special suit that you wear, and it has controls on it which allow you to charge the suit up to any number of Coulombs (C), positive or negative, that you might want. The idea is that you can control the amount of electrical repulsion (or attraction) between the suit and the charged sheet below you. What is the strength of the electric field in the region above the charged sheet? (This is easy, since I m going to give you the formula, which is E = 2 pi k Q/A, where k is the electrical constant and Q/A is the charge density.)

Same situation, but this time the charge density in the sheet is 1.69 x 10^-6 C. Suppose your mass (including the suit) is 87.3 kg. How much charge must you give the suit if you want to fall up , that is, accelerate upward at the same rate that objects normally accelerate downward due to Earth s gravity?
   
2.88E-02 C
   
1.79E-02 C
   
7.18E-03 C
   
2.70E-02C
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