Respuesta :

Answer:

3823 N

Explanation:

The magnitude of the electric force between two charges is given by Coulomb's law:

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where:

[tex]k=9\cdot 10^9 Nm^{-2}C^{-2}[/tex] is the Coulomb's constant

[tex]q_1, q_2[/tex] are the two charges

r is the separation between the two charges

In this problem we have:

[tex]q_1=4.5\cdot 10^{-4}C[/tex] is the charge on the 1st object

[tex]q_2=5.9\cdot 10^{-5}C[/tex]is the charge on the 2nd object

r = 0.25 m is the distance between the objects

Therefore, the electric force between them is:

[tex]F=(9\cdot 10^9)\frac{(4.5\cdot 10^{-4})(5.9\cdot 10^{-5})}{(0.25)^2}=3823 N[/tex]