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Four point charges +8muC-1muC,-1muC and ...

Four point charges `+8muC-1muC,-1muC and +8muC` are fixed at the points `-sqrt(27//2)m, -sqrt(3//2)m+sqrt(3//2)m and + sqrt(27//2)m` respectively on the Y-axis. A particle of mass `6xx10^-4` kg and charge `+0.1muC` moves along the -X direction. It speed at `x=+oo` is `v_0`. Find the least value of `v_0` for which the paticle will cross the origin. Find also the kinetic energy of the particle at the origin. Assume that space is gravity free.

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The correct Answer is:
`v_(0)=3 m//s`; K.E. at origin `(27-10 sqrt(6))xx10^(-4) J=2.5xx10^(-4) J`
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