Question

If a third charge, of 5.00 nC , is now placed at the point x = 2.90 cm , y = 4.20 cm find the x and y components of the total force exerted on this charge by the other two charges.Express answers numerically separated by a comma. Fx, Fy = __,__

Answer 1

To find the x and y components of the total force exerted on a third charge by two other charges, calculate the individual forces exerted by each charge using Coulomb's law, and then find the x and y components of the total force by adding the individual components.

Step-by-step explanation:

First, let's calculate the force exerted by the first charge on the third charge. The formula to calculate the force between two charges is given by Coulomb's law: F = k * (q1 * q3) / r13^2, where k is the electrostatic constant (9 * 10^9 Nm^2/C^2), q1 and q3 are the charges, and r13 is the distance between them.

Next, calculate the force exerted by the second charge on the third charge using the same formula.

Finally, find the x and y components of the total force on the third charge by adding the x and y components of the forces exerted by the first and second charges. The x-component is the sum of the x-components of the individual forces, and the y-component is the sum of the y-components of the individual forces.