Physics: Two electrons are an angstrom (1x10^-10m) apart. what electrostatic force do they exert on one another?

Two electrons are an angstrom (1x10^-10m) apart.

Ответ:

daty0355

08.01.2022

Physics

2.30 × 10⁻⁸ N if the two electrons are in a vacuum.

Explanation:

The Coulomb's Law gives the size of the electrostatic force between two charged objects:

$\displaystyle F = -\frac{k\cdot q_1 \cdot q_2}{r^{2}}$ ,

where

is coulomb's constant. $k = 8.99\times 10^{8}\;\text{N}\cdot\text{m}^{2}\cdot\text{C}^{-2}$ in vacuum. q_1

and

are the signed charge of the objects.

is the distance between the two objects.

For the two electrons:

$q_1 = q_2 = 1.60\times 10^{-19}\;\text{C}$ . $r = 1\times 10^{-10}\;\text{m}$ . $\displaystyle F = -\frac{k\cdot q_1 \cdot q_2}{r^{2}} = -\frac{8.99\times 10^{8}\times (1.60\times 10^{-19})^{2}}{(1\times 10^{-10})^{2}} = 2.30\times 10^{-8}\;\text{N}$ .

The sign of is negative. In other words, the two electrons repel each other since the signs of their charges are the same.

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Two electrons are an angstrom (1x10^-10m) apart. what electrostatic force do they exert on one another?

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