A piece of tape is pulled from a spool and lowered toward a 100-mg scrap of paper. Only when the tape comes within 8.0 mm is the electric force magnitude great enough to overcome the gravitational force exerted by Earth on the scrap and lift it. Requried:
Determine the magnitude and direction of the electric force exerted by the tape on the paper at this distance.

 The magnitude of the electric force is  

Explanation:

From the question we are told that

    The  mass of the paper is  

    The  position is  

Generally the magnitude of the  electric force at the point of equilibrium between the electric force and the gravitational force is  mathematically represented as  

Where   is gravitational force

   substituting values

Now generally the gravitational force acts downward (negative y axis ) hence the reason the electric force is same magnitude but opposite in direction (upward  + y - axis  )

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massxgravity x heght=weightxheight= pe

4900=490xh

h=10