# 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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