Charged beads

Two 1-g beads with charges Qx=2 μCQ_{x}=2~\mu\mbox{C} and Qy=3 μCQ_{y}=-3~\mu\mbox{C} slide on (without friction) two perpendicular wires (xx and yy axes). The charges are initially located at (5 m,0)(5~\mbox{m},0) and (0,3 m)(0,3~\mbox{m}) and released from rest.

What is the distance in meters between the charges when QyQ_{y} crosses the origin (0,0)(0,0)?

Details and assumptions

k=14πϵ0=9×109N m2/C2 k=\frac{1}{4\pi \epsilon_{0}}=9 \times 10^{9} \mbox{N m}^{2}/\mbox{C}^{2}

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