An electron is shot directly toward the center of a large metal plate that has surface charge de...

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An electron is shot directly toward the center of a large metal plate that has surface charge density \( -2.0 \times 10^{-6} \mathrm{C} / \) \( \mathrm{m}^{2} \). If the initial kinetic energy of the electron is \( 1.60 \times \) \( 10^{-17} \mathrm{~J} \) and if the electron is to stop (due to electrostatic repulsion from the plate) just as it reaches the plate, how far from the plate must the launch point be?
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