. Three charges are positioned as indicated in the figure. Calculate net force

exerted on the +15 µC charge by the +11 µC and +13 µC charges

No figure. Cannot copy and paste here.

To calculate the net force exerted on the +15 µC charge by the +11 µC and +13 µC charges, we first need to find the individual forces exerted by each of the charges and then add them up as vectors.

The force between two charges can be calculated using Coulomb's law, which states that the force (F) between two charges (q1 and q2) separated by a distance (r) is given by the equation:

F = (k * |q1 * q2|) / r^2

Where:
F is the force between the charges,
k is the electrostatic constant (9 * 10^9 Nm^2/C^2),
|q1 * q2| is the absolute value of the product of the charges, and
r^2 is the square of the distance between the charges.

Let's label the +15 µC charge as q1, the +11 µC charge as q2, and the +13 µC charge as q3. We can represent the forces using vectors:

F1 = force between q1 and q2,
F2 = force between q1 and q3.

Now, let's calculate the force F1:

|q1 * q2| = |15 µC * 11 µC| = 165 µC^2
r1 = distance between q1 and q2

Similarly, let's calculate the force F2:

|q1 * q3| = |15 µC * 13 µC| = 195 µC^2
r2 = distance between q1 and q3

Now, we can combine these forces as vectors:

Net Force (F_net) = F1 + F2

Finally, we will use vector addition to determine the magnitude and direction of the net force. We can sum the x-components and y-components of the forces separately to get the total x-component (F_net_x) and the total y-component (F_net_y), respectively. The magnitude of the net force (|F_net|) can then be calculated using the Pythagorean theorem:

|F_net| = sqrt(F_net_x^2 + F_net_y^2)

To find the direction of the net force, we can use trigonometric functions:

θ = arctan(F_net_y / F_net_x)

By following these steps and using the values of the charges and distances given in the figure, you can calculate the net force exerted on the +15 µC charge by the +11 µC and +13 µC charges.