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8B-Soln01-v1.0.3 - magnitudes is larger than the other then...

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6. a) The balls are equal size and, besides their charge, are the same. After contact, where charges are free to flow from one sphere to the other, then, the charge on each sphere should be equal to eachother. If the balls initially repel, they are either both positive or both negative, and afterwards, when we divide the charges equally between the spheres, the balls will still be both positive or both negative [even though the amount of charge on each sphere may have changed] and so will repel . b) The balls attract, and so one ball is positive and one is negative. After contact, the balls will have equal charges. If the magnitudes of the charges is initially equal , then after contact the balls will both be neutral and neither attract nor repel. If one of the
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Unformatted text preview: magnitudes is larger than the other, then, after contact, the balls will either both be positive or both be negative and so will repel . c) Each ball has a charge of +1 μ C. The force points away from the other charge and has a magnitude of 4 N. d) The charges that are flowing are the electrons, and so 3 μ C of electrons flow from ball 1 to ball 2. 7. a) Q = 4 "# mg tan $ d + 2 L sin ( ) = 3.01 μ C b) The Q 2 /4 πε part of the force remains the same [up to an overall minus sign] because the charge magnitudes are the same. The distance between the balls, however, is now smaller, which means that the force in the x-direction is larger in magnitude. This will pull the balls more to the sides and make a larger angle....
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