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Problem 1 (25pts). Two equal and unmoving charges. Q,-+1.20 μC and Q2: +1.20 μα. are fixed symmetrically along the r-axis at -3.00 cm. Consider a third charge Q3- +3.75 pC with a mass ofm 10.0 mg moving along the y-axis. If Qs starts from rest at a position of y 3.0 cm, what is its speed when it reaches y 7.00 cm?

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Answer #1

Let the speed be v,

By energy conservation,

kQ1Q2/r1 - kQ1Q2/x2 = 0.5mv^2

2*9e9*1.2e-6*3.75e-6/[sqrt(0.03^2 + 0.03^2] - 2*9e9*1.2e-6*3.75e-6/[sqrt(0.03^2 + 0.07^2]

=0.5*10e-6*v^2

v = 411 m/s answer

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