Two identically charged particles are fastened to the two ends of a spring of spring constant `100 N m ^(-1) ,` 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.

Explanation

`Electric force = spring force `
` 1/(4piepsilon_0)(q^2 )/(x+0.1)^2=K(0.1+x) `
` or (0.1+x)^3=(9xx10^9xx(2.0xx10^-8)^2)/10^-2 `
` = (36xx10^9xx10^-16) /10^-2 `
` = 36xx10^-5 `
` or x=3.6xx10^-6m `