Spring, Charge and Block

A small block having charge Q Q placed on a frictionless horizontal table is attached to one end of a spring of force constant k k . The other end of the spring is attached to a fixed support and the spring stays horizontally in relaxed state. Another small block carrying a negative charge q -q is brought very slowly from a great distance towards the former block along the line coinciding the axis of the spring.
Find extension in the spring when both the blocks collide.

Details.and Assumptions
1) q = 1 q=1
2) Q = 2 Q=2
3) ϵ 0 = 3 \epsilon_{0}=3
4) k = 4 k=4


The answer is 0.447.

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