In a chamber \(0.300 \mathrm{~m}\) high, sphere 1 carrying charge \(q_{1}=1.00 \mu \mathrm{C}\) is suspended by a spring above a sphere 2 that carries charge \(q_{2}\) and sits on the floor of the chamber (Figure P22.33). The relaxed length of the suspended spring is \(70.0 \mathrm{~mm}\), its spring constant is \(30.0 \mathrm{~N} / \mathrm{m}\), and the mass of sphere 1 is \(5.00 \mathrm{~g}\). If sphere 1 comes to rest \(0.200 \mathrm{~m}\) above the floor (and above sphere 2), what is the value of \(q_{2}\) ?

Data from Figure P22.33

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0.300 m 0.200 m www