Chapter 2571*P25.64Take the illustration presented with the problem as an initial picture.No external horizontal forces act on the set of four balls, so its center ofmass stays fixed at the location of the center of the square. As thecharged balls 1 and 2 swing out and away from each other, balls 3 and 4move up with equal y-components of velocity. The maximum-kinetic-energy point is illustrated. System energy is conserved:k qak qamvmvmvmvk qamvvk qameeee2222222223121212122323=++++==v+24v3vv+1CMFIG. P25.64P25.65For the given charge distribution,V xyzkqrkqree,,bgb gbg=+−122whererxRyz1222=+++afand rxyz2222=++.The surface on whichV xyz,,bg=0is given byk qrre12012−FHGIKJ=, or 212rr=.This gives:444222222xRyzxyz+++=++afwhich may be written in the form:xyzR xyzR22228300430+++FHGIKJ+++FHGIKJ=a fa f.The general equation for a sphere of radius acentered at
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