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27 June, 13:41

What is the minimum magnitude of an electric field that balances the weight of a plastic sphere of mass 14.2 g that has been charged to 7.7 nC. Give your answer to the nearest 0.1 MN/C (mega Newton per Coulomb)

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  1. 27 June, 15:50
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    18.1 MN/C

    Explanation:

    The gravitational force of the plastic sphere is in equilibrium with the electric force.

    Mass of the plastic sphere = m = 14.2 g = 0.0142 kg

    Force of gravity = F = mg = (0.0142) (9.81) = 0.139 N

    This force is balanced by the electric force due to the charge 7.7 nC

    Charge = q = 7.7 x 10⁻⁹ C

    Electric field = E = F / q = (0.139) / (7.7 x 10⁻⁹) = 18.1 MN/C
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