Problem 5. Two positively charged spheres with equal mass m are placed on a circular ramp,...

 

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Problem 5. Two positively charged spheres with equal mass m are placed on a circular ramp, which has a radius S. The left sphere has a charge g and the right sphere has a charge 2g. The charges repel each other until they reach equilibrium. At this point, the left sphere makes an angle of 0 with the vertical, and the right sphere an angle R. Assume the radii of the charged spheres are much less than S. You will need Newton's Laws and Coulomb's Law for this problem. m, q SOLOR S d m, 2q (a) Is the angle , greater than, less than, or equal to the angle OR? (b) If you measure the changes to be separated by a distance d, what is the value of q? Express you answer in terms of to, m, d, the angles, and g, the acceleration due to gravity near the surface of the earth. Problem 5. Two positively charged spheres with equal mass m are placed on a circular ramp, which has a radius S. The left sphere has a charge g and the right sphere has a charge 2g. The charges repel each other until they reach equilibrium. At this point, the left sphere makes an angle of 0 with the vertical, and the right sphere an angle R. Assume the radii of the charged spheres are much less than S. You will need Newton's Laws and Coulomb's Law for this problem. m, q SOLOR S d m, 2q (a) Is the angle , greater than, less than, or equal to the angle OR? (b) If you measure the changes to be separated by a distance d, what is the value of q? Express you answer in terms of to, m, d, the angles, and g, the acceleration due to gravity near the surface of the earth.

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