Final answer:
To determine the magnitude of charge q, we apply Coulomb's Law using the known values of force, separation distance, and Coulomb's constant. Calculating the magnitude of charge q will allow us to then find the electric field produced by charge q and the force it exerts on a +2q charge.
Step-by-step explanation:
To find the magnitude of charge q when two point charges q and -2q attract each other with a force of 2.2 N at a separation of 1.4 m, we use Coulomb's Law. The formula for Coulomb's Law is F = k * |q1 * q2| / r^2, where F is the force between the charges, k is Coulomb's constant (8.99 x 10^9 N*m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the separation distance between the charges.
By substituting the known values into the formula, we get 2.2 N = (8.99 x 10^9 N*m^2/C^2) * |q * (-2q)| / (1.4 m)^2. Solving for q gives us the magnitude of charge q. To find the electric field of the +q particle at the same distance, we use the formula E = k * |q| / r^2, and to find the force that this electric field exerts on the +2q particle, we calculate F = E * 2q.