A \(m=20\,\mathrm{g}\) mass with charge \(q=+8\,\mathrm{\mu C}\) hangs from a spring of stiffness \(k=50\,\mathrm{N/m}\). If an infinite plane with charge density \(\sigma=+3\,\mathrm{\mu C/m^2}\) is placed \(d=5\,\mathrm{cm}\) below the masses original position, through what distance does the mass on the spring deflect in \(\,\mathrm{m}\)? Ignore the sign of the deflection and answer with a positive number.
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