87.3k views
2 votes
"Two electrons in an atom are separated by 1.3 x 10−10 m, the typical size of an atom. What is the force between them? The Coulomb constant is 9 × 109 N · m2 /C 2 . Answer in units of N."

User Jslatts
by
7.5k points

1 Answer

2 votes

Step-by-step explanation:

The force between two electrons can be calculated using Coulomb's law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

The electric charge on an electron is -1.6 x 10^-19 C. Since both electrons have the same charge, the product of their charges is:

(-1.6 x 10^-19 C) x (-1.6 x 10^-19 C) = 2.56 x 10^-38 C^2

The distance between the electrons is 1.3 x 10^-10 m. Therefore, the force between them can be calculated as:

F = (k * q1 * q2) / r^2

where k is Coulomb's constant, q1 and q2 are the charges on the two electrons, and r is the distance between them.

Plugging in the values, we get:

F = (9 x 10^9 N·m^2/C^2) * (2.56 x 10^-38 C^2) / (1.3 x 10^-10 m)^2

F = 1.42 x 10^-8 N

Therefore, the force between the two electrons is 1.42 x 10^-8 N.

User Clark Fitzgerald
by
7.6k points