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

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Chapter1: Units, Trigonometry. And Vectors
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7. 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 9.48 x 10^-6 C.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. Suppose your mass (including the suit) is 66.9 kg. How much charge must you give the suit if you want to be able to just hover stationary above the charged sheet?

   

8.61E-04 C

   

1.60E-03 C

   

2.21E-03 C

   

1.23E-03 C

Expert Solution
Step 1

Given that:

The uniform charged density is σ = 9.48×10-6 C/m2

The mass of the person is m=66.9 kg

The  permittivity of free space is e0=8.85×10-12 F/m

The acceleration due to gravity is g=9.98 m/s2

 

it is required to determine the amount of charge you must give the suit if you want to be able to just hover stationary above the charged sheet.

 

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