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Two spherical objects are separated by a distance of 2.97 × 10-3 m. The objects are initially electrically neutral and are very small compared to the distance between them. Each object acquires the same negative charge due to the addition of electrons. As a result, each object experiences an electrostatic force that has a magnitude of 1.67 × 10-21 N. How many electrons did it take to produce the charge on one of the objects?

I keep getting 567.68. What am I doing wrong?

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2 answers

  1. F = kq^2/r
    so q = sqrt(Fr/k)
    q = 2.34e-17
    each electron has a charge 1.6e-19
    so you have about 146 electrons

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  2. everything is correct except the distance r should be squared. the number of electrons is much smaller than 146

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