Question

Charge `q_(1)` is fixed and another point charge `q_(2)` is placed at a distance `r_(0)` form `q_(1)` on a frictionless horizontal surface.Find the velocity of `q_(2)` as a function of seperation `r` between them (treat the changes as point charges and mass of `q_(2)` is m)

Answer 1

Accoding law of concervation energy
`U_(1)+K_(1)=U(2)+K_(2)`
` (1)/(4piepsilon_(0))(q_(1)q_(2))/(r_(0))+0=(1)/(4piepsilon_(0))=(1)/(4piepsilon_(0))(q_(1)q_(2))/(r)+(1)/(2)mv^(2)`
`(1)/(2)mv^(2)=(q_(1)q_(2))/(4piepsilon_(0))[(1)/(r_(0))-(1)/(r)],v=sqrt((q_(1)q_(2))/(2piepsilon_(0)m))[(1)/r_(0)-(1)/(r)]`