contestada

Two electrons with a charge of magnitude 1.6×10-19 C in an atom are separated by 1.5×10-10 m, the typical size of an atom. What is the electric force between them?

Respuesta :

Answer:

[tex]1.02\cdot 10^{-8} N[/tex], repulsive

Explanation:

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

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

where:

[tex]k=8.99\cdot 10^9 Nm^{-2}C^{-2}[/tex] is the Coulomb's constant

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

r is the separation between the two charges

The force is:

- repulsive if the two charges have  same  sign

- Attractive if the two charges have opposite signs

In this problem, we have two electrons, so:

[tex]q_1=q_2=1.6\cdot 10^{-19}C[/tex] is the magnitude of the two electrons

[tex]r=1.5\cdot 10^{-10} m[/tex] is their separation

Substituting into the formula, we find the electric force between them:

[tex]F=(8.99\cdot 10^9)\frac{(1.6\cdot 10^{-19})^2}{(1.5\cdot 10^{-10})^2}=1.02\cdot 10^{-8} N[/tex]

And the force is repulsive, since the two electrons have same sign charge.