I have looked at similiar answered questions and I can not figure out this probl

Question

I have looked at similiar answered questions and I can not figure out this problem. Please Help!!!

There are two identical, positively charged conducting spheres fixed in space. The spheres are 47.0 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0675 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially q1Q2. The Coulomb Force constant is k-1/(4mEo) : 8.99 x 109 N·m2/C2. Number 41 Number 42

Explanation / Answer

Here ,

let the charges are q1 and q2

Now for the initial force , F1 = k * q1 * q2/d^2

0.0675 = 9 *10^9 * q1 * q2/0.47^2

Now, when they are connected by wire

the charged will be distributed equally

for the new charge (q1 + q2)/2

0.10 = 9 *10^9 * ((q1 + q2)/2)^2/0.47^2

solving both equations for q1 and q2

q1 = 6.73 *10^-7 C

q2 = 2.45 *10^-6 C

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