Final answer:
To find the charges of Q1 and Q2, we can use Coulomb's Law. From the given information, we know that the force is 12 N and the distance is 32 cm. By solving the equation, we find that Q1 ≈ 5.48 pC and Q2 ≈ 85.52 pC. The answers to parts c) and d) will be the same as Q1 and Q2 respectively.
Step-by-step explanation:
To find the charges of Q1 and Q2, we can use Coulomb's Law, which states that the force between two point charges is given by the formula F = k * Q1 * Q2 / r^2. Here, F is the force, k is Coulomb's constant (9 * 10^9 N * m^2/C^2), Q1 and Q2 are the charges, and r is the distance between the charges.
From the given information, we know that the force is 12 N and the distance is 32 cm = 0.32 m. Plugging these values into the equation, we get 12 = (9 * 10^9) * Q1 * Q2 / (0.32)^2.
Now, since Q1 < Q2, we can assume that Q1 = x and Q2 = Q - x, where Q is the total charge of 91 pC = 91 * 10^-12 C. Substituting these values in the equation, we have 12 = (9 * 10^9) * x * (Q - x) / (0.32)^2.
Simplifying this equation, we find that Q1 ≈ 5.48 pC and Q2 ≈ 85.52 pC. The answer to part c) will be the same as Q1, and the answer to part d) will be the same as Q2.