Coulomb vs Hooke

There are two identical charges attached to the ends of a spring. How far apart are they if the system is in equilibrium (neglecting gravity)?

System Parameters (All in SI units):

ChargeCoulomb's constantSpring constantSpring unstretched length
q=104Cq = 10^{-4} C k=9×109 Nm2 C2k = 9\times10^9 \text{ Nm}^2 \text{ C}^{-2} α=90 Nm1\alpha = 90\text{ Nm}^{-1} L=1 mL = 1\text{ m}
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