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A metal needle of length 7.0 cm does not have any excess charge on it. It is brought to a distance d=5.0 cm from the center of a negatively charged sphere containing N=6.4x1015 excess electrons. As a result the needle becomes polarized, with +7.3 nC on the end that is close to the sphere, and -7.3 nC on the end that is far. What is the magnitude of the total force acting on the needle?

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