A piece of tape is pulled from a spool and lowered toward a (100-mathrm{mg}) scrap of paper.

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

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