1. A negative charge of -20times 10^-4C and a positive charge of 8.0times 10^-4C are separated by 0.30 m What is the force between the two charges?

To find the force between the two charges, we can use Coulomb's law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.<br /><br />The formula for Coulomb's law is:<br /><br />F = k * (|q1| * |q2|) / r^2<br /><br />Where:<br />F is the force between the charges (in newtons, N)<br />k is the Coulomb constant (in newtons per square meter, N/m^2)<br />q1 and q2 are the charges (in coulombs, C)<br />r is the distance between the charges (in meters, m)<br /><br />Given information:<br />- Negative charge: q1 = -20 × 10^-4 C<br />- Positive charge: q2 = 8.0 × 10^-4 C<br />- Distance between the charges: r = 0.30 m<br /><br />Substituting the values into the formula:<br /><br />F = k * (|q1| * |q2|) / r^2<br />F = (8.99 × 10^9 N/m) * ((20 × 10^-4 C) * (8.0 × 10^-4 C)) / (0.30 m)^2<br />F = (8.99 × 10^9 N/m^2) * (1.6 × 10^-7 C^2) / (0.09 m^2)<br />F = 1.59 × 10^3 N<br /><br />Therefore, the force between the two charges is 1 × 10^3 N.