Two identical small metal spheres with q1 > 0 and |q1| > |q2| attract each other
ID: 1311550 • Letter: T
Question
Two identical small metal spheres with q1 > 0 and |q1| > |q2| attract each other with a force of magnitude of 89.7 mN when spearated by a destance of 3.02 m.
The spheres are then brought together until they are touching, enabling the spheres to attain the same final charge q.
After the charges on the spheres have come to equilibrium, the spheres are separated so that they are again 3.02m apart.
Now the spheres repel each other with a force of magnitude 13.455 mN.
a. What is the final charge on the sphere on the right? assume Coulombs constant is 8.99 *10^9. Answer in units of
Explanation / Answer
in second case
13.455 x10-3 = K*q2/3.022
q = 3.7x10-6C
|q1| - |q2| = 2q = 7.4 x10-6 C
in first case
89.7 x 10-3 = k*q1q2/3.022
q1q2 = 90.9 x 10-12
|q1| + |q2| = 20.4x10-6C
q1 = 13.9 x 10-6 C
q2 = -6.5 x 10-6 C
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