# Charged beads

**Electricity and Magnetism**Level 2

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**

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