In this problem, we're going to use Coulomb's law:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{k}{\mathbf{q}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{r}}^{\mathbf{2}}}}$, where F is electric force, k is Coulomb's constant, and r is the separation between charges q_{1} and q_{2}.

**1.**

The value of force that q_{1} exerts on q_{2} can be given by Coulomb's law as:

A point charge q1 = -2.1 μC is located at the origin of a co-ordinate system. Another point charge q2 = 6.7 μC is located along the x-axis at a distance x2 = 6.7 cm from q_{1}.

1. What is F_{12,x}, the value of the x-component of the force that q_{1} exerts on q_{2}?

2. Charge q_{2} is now displaced a distance y_{2} = 2.8 cm in the positive y-direction. What is the new value for the x-component of the force that q_{1} exerts on q_{2}?

3. A third point charge q_{3} is now positioned halfway between q_{1} and q_{2}. The net force on q_{2} now has a magnitude of F_{2,net} = 8.005 N, and points away from q_{1} and q_{3}. What is the value (sign and magnitude) of the charge q_{3}?

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