Two identical conducting balls weighing 2 g each are suspended on threads 1 m long at one point.
Two identical conducting balls weighing 2 g each are suspended on threads 1 m long at one point. What is the total charge necessary to communicate to the balls so that the angle between the filaments increases to 90 degrees?
The problem presented in the original task is focused on the use of laws, rules and formulas that are common in physical science, represented, in particular, by the Coulomb law, the Pythagorean theorem and other regularities. Taking into account the above, for the case under consideration, we have:
1. After deflection of each of the balls by 45 ° (then the angle between the threads will be 90 °), the force will act on the nirh:
F heavy = Fe.
Fe total = Fe1 + Fe2 = m1g + m2g = 2m1g.
2. In accordance with Coulomb’s law:
m1 = 2 g = 2 * 10-3
Fe = k * (q_1 * q_2) / r2.
3. In accordance with the Pythagorean theorem:
r2 = 12 = 2.
q1 = q2 = 3 * 10-5.
q1 + q2 = 6 * 10-5 C = 60 μC.