Please show the FORMULA first and then solve for the values. THE PROBLEM Let\'s

Question

Please show the FORMULA first and then solve for the values.

THE PROBLEM Let's design a physics experiment to make a grape hover in midair. We can insert a point charge of q-17 HC into the grape, and then paint a uniform charge onto the floor. Suppose our grape has a mass of m-5g. What surface charge density must we paint onto the floor? PAPER SOLUTION Solve the problem on paper first, including all four IDEA steps. You will become a better physicist that way! Have you finished your paper solution already? oyes no INTERPRET Identify all of the true statements. A. The floor must be negative. B. There can be no electric field inside the floor, below the paint. C. Electricity is the only force acting on the grape. D. None of the above. DEVELOP Derive an algebraic expression for the surface charge density. In your answer, type E0 to represent eo.

Explanation / Answer

let the surface charge density be

There will be a downward force due to gravity.

And, there will be a upward force due to the charge on the floor.

So balancing both the forces,

/E0=mg

=(mg)E0

=(0.005*9.81)*8.85*10-12

=0.434*10-12 or 4.34*10-13

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