Final answer:
To find the charge on the larger of two point charges, we can use Coulomb's law. The formula for Coulomb's law allows us to calculate the charge based on the given force and distance. By rearranging the formula, we can solve for the charge of the larger charge.
Step-by-step explanation:
To determine the charge on the larger of the two charges, we can use Coulomb's law which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. In this case, we have two charges with a repulsive force and the value of the force is given as 0.075 N.
We can rearrange the formula to solve for the charge of the larger charge, which will be represented as Q:
F = k * (Q1 * Q2) / r^2
Substituting the given values, we have:
0.075 N = k * (6.5 C * Q) / (0.35 m)^2
k is the electrostatic constant and has a value of 9 x 10^9 N*m^2/C^2.
Simplifying the equation, we can solve for Q:
Q = (0.075 N * (0.35 m)^2) / (6.5 C * 9 x 10^9 N*m^2/C^2)
Calculating the expression will give us the charge on the larger of the two charges in coulombs.