Please help with this homeworkproblem. I have one submission left on my webassig

Question

Please help with this homeworkproblem. I have one submission left on my webassign homework! Please include ALL steps and final computation so I can learnand compare to what I have worked on. Question Details: Two 0.24 g pith balls are suspended from the same point bythreads 32 cm long. (Pith is a light insulating material once usedto make helmets worn in tropical climates.) When the balls aregiven equal charges, they come to rest 21 cm apart, as shown inFigure below. What is the magnitude of the charge on each ball?(Neglect the mass of the thread.)
C

Explanation / Answer

I have rechecked the answer. If you find any problem letme know. Label the charges A, B and the point of suspension, O. Join ABand drop a perpendicular from O to the idpoint of AB. Label itC. OCB is the triangle of forces keeping charge B inequilibrium under the action of forces, F,T and w =mg. Also,BC = AB/2 = 21 cm/2 = 10.5 cm            OC =(OB2 - BC2) = (32x32 -10.5x10.5)                  =913.7 = 30.228 cm Therefore, F/BC = mg/OC                 F = mgxBC/OC =0.24x10-3x9.8x10.5/30.228                     = 0.000817 N From Coulomb'slaw,              F = k.q.q/r2;            q2 = F.r2/k = 0.000817x0.21x0.21/9x109                  = 4.003x10-15            q = (40.03x10-16) =6.33x10-8 C =63.3x10-9C               = 63.3 nC

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