The problem asks: Two small nonconducting spheres have a totalcharge of 90.0C. W

Question

The problem asks: Two small nonconducting spheres have a totalcharge of 90.0C. When placed 1.16m apart, the force eachexerts on the other is 12.0 N and is repulsive. What is the chargeon each? I thought I understood Coulomb's law, but when given theequation the two charges are multiplied together. The sum of thecharges in this problem is given, but it doesn't say theyare equal charges. I'm lost on figuring out how to find eachindividual charge. Any hints or suggestions would be helpful. Thanks The problem asks: Two small nonconducting spheres have a totalcharge of 90.0C. When placed 1.16m apart, the force eachexerts on the other is 12.0 N and is repulsive. What is the chargeon each? I thought I understood Coulomb's law, but when given theequation the two charges are multiplied together. The sum of thecharges in this problem is given, but it doesn't say theyare equal charges. I'm lost on figuring out how to find eachindividual charge. Any hints or suggestions would be helpful. Thanks

Explanation / Answer

Given : The total charge ( Q ) = 90 C = 90 *10-6 C Distance ( d ) = 1.16 m      Force exerts on each other ( F ) = 12N k = 9 * 10-9N.m2/C2 From coulomb's law F = k q12/ r2    q2 = F r2 / k     q1 = Fr2 / k        = 0.036 C Q = q1 + q2    90 C = 0.036 C + q2     q2 = 90C -0.036C           = 89.9C I hope it helps you    q2 = F r2 / k     q1 = Fr2 / k        = 0.036 C Q = q1 + q2    90 C = 0.036 C + q2     q2 = 90C -0.036C           = 89.9C I hope it helps you     

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