Charged beads

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



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

Details and assumptions

\[ k=\frac{1}{4\pi \epsilon_{0}}=9 \times 10^{9} \mbox{N m}^{2}/\mbox{C}^{2}\]


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