A) Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +4q. Sphere B carries a charge of -3q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Last, sphere C is touched to sphere B and separated from it. For the following questions, express your answers in terms of q.
How much charge ends up on sphere C?
B) Water has a mass per mole of 18.0 g/mol, and each water molecule (H2O) has 10 electrons. What is the net charge of all these electrons?
C) In a vacuum, two particles have charges of q1 and q2, where q1 = +3.4 µC. They are separated by a distance of 0.20 m, and particle 1 experiences an attractive force of 3.5 N. What is q2 (magnitude and sign)?
D) Two tiny conducting spheres are identical and carry charges of -19.8 µC and +53.0 µC. They are separated by a distance of 2.29 cm. The spheres are brought into contact and then separated to a distance of 2.29 cm. Determine the magnitude of the force that each sphere now experiences, and state whether the force is attractive or repulsive.
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