Answer:
The force between two charged particles can be calculated using Coulomb's law, which states:
F = k * |q1*q2| / r^2
where:
F is the force between the charges,
q1 and q2 are the magnitudes of the charges,
r is the distance between the charges, and
k is Coulomb's constant, approximately 8.99 x 10^9 N m^2/C^2.
Given the charges q1 = 3C and q2 = 1.3 x 10^3 C, and the distance r = 2m, we can plug these values into the formula:
F = 8.99 x 10^9 N m^2/C^2 * |3C * 1.3 x 10^3 C| / (2m)^2
= 8.99 x 10^9 N m^2/C^2 * 3.9 x 10^3 C^2 / 4 m^2
= 8.99 x 10^9 N m^2/C^2 * 9.75 x 10^2 C^2 / m^2
= 8.74 x 10^12 N
Therefore, the amount of electrostatic force that exists between these two particles is approximately 8.74 x 10^12 N. The closest option to this calculation is 8.7 x 10^12 N, which might be due to rounding or significant figures.