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Problem_Set_1 - LOS MEDANOS COLLEGE PHYS 41 Instructor...

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LOS MEDANOS COLLEGE PHYS 41 Instructor: Jeanne Bonner Problem Set 1 1. A certain charge Q is to be divided into two parts, q and Q - q. What is the relationship of Q to q if the two parts, placed a given distance apart, are to have a maximum Coulomb repulsion? 2. How far apart must two protons be if the electrical repulsive force acting on either one is equal to its weight at the earth's surface? The mass of a proton is 1.7 x 10~ 27 kg. 3. Two free point charges +q and +4q are a distance I apart. A third charge is so placed that the entire system is in equilibrium. Find the location, magnitude, and sign of the third charge. Is the equilibrium stable? 4. Two similar conducting balls of mass m are hung from silk threads of length £ and carry similar charges q. Assume that 6 is so small that tan 9 can be replaced by its approximate equal, sin 9. To this approximation (a) show that 2ne o mg) where x is the separation between the balls, (b) If C = 120 cm, m= lOg, and x = 5.0 cm, what is q? 5. Assume that each conducting ball in the previous problem is losing charge at the rate of 1.0 x 10" 9 C/sec. At what instantaneous relative speed (= dx/dt) do the balls approach each other initially? 6. Two identical conducting spheres, having charges of opposite sign, attract each other with a force of 0.108 N when separated by 0.500 m. The spheres are connected by a conducting wire, which is then removed, and thereafter repel
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