Final answer:
The problem requires applying principles of electrostatics and mechanics to calculate the tension in the strings, the gravitational force, and the electrostatic force between two charged pith balls.
Step-by-step explanation:
The pith ball experiment described in the question involves the concepts of electrostatic force, tension, and gravitational force. In the given scenario, the two pith balls each carry a different charge and are suspended by strings at a certain distance apart. The electrical repulsion between the balls and the gravitational attraction to Earth result in each string forming an angle with the vertical. The problem is essentially asking for the calculation of the magnitudes of the tension in each string (T), the gravitational force on each pith ball (Fy), and the electrostatic force between the pith balls (F). The values of T, Fy, and F can be deduced by using Coulomb's Law for electrostatic force, the equation for tension in a string at an angle, and the gravitational force equation, respectively.
To calculate these forces accurately, one needs to consider the charges on both pith balls, the distance between them, their masses, and the angle at which the strings are positioned. However, the options provided are not consistent with the values described in the question, and there may be an error in either the charges mentioned or in the options given for the magnitudes of the forces. In general, to find the correct magnitudes, students would apply the principles of physics, particularly the equilibrium of forces and Coulomb's Law.