Question

Calculate the electrostatic force that a small sphere A, possessing a net charge of 2.0 x 10^-6 Coulombs exerts on another small sphere, B with a net charge of -3.0 x 10^-6, when the distance between their centers is 10.0 meters k= 8.99 x10^9

Answer 1

F = 5.33*10^-4N

Step-by-step explanation:

to find the electrostatic force you use the Coulomb's law, given by the formula:

`F=k(q_Aq_B)/(r^2)`

k: Coulomb's constant = 8.89*10^9 Nm^2/C^2

q_a: charge of A = 2.0*10^{-6}C

q_B: charge of B = -3.0*10^{-6}C

r: distance between the spheres = 10.0m

By replacing all these values you obtain:

`F=(8.89*10^9Nm^2/C^2)((2.0*10^(-6)C)(-3.0*10^(-6)C))/((10.0m)^2)=5.33*10^(-4)N`

hence, the forcebetween the spheres is about 5.33*10^-4N