Two identically charged particles are fastened to the two endsl of a spring of spring constant \...

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Two identically charged particles are fastened to the two endsl of a spring of spring constant \( 100 \mathrm{~N} \mathrm{~m}^{-1} \) and natiual length \( 10 \mathrm{~cm} \). The system rests on a smooth horizontal table. If the charge on each particle is \( 2 \cdot 0 \times 10^{-8} \mathrm{C} \), find the extension in the length of the spring. Assume that the extension is small as compared to the natural length. Justify this assumption after you solve the problem.
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