Question

Двум шарикам,расположенным на определённом расстоянии друг от друга,сообщен одинаковый заряд,равный 50 нКл.Заряды оттолкнулись с силой 300 мН.Определите расстояние между шариками.

Answer 1

F=k|q1||q2|/r^2

r^2=k|q1||q2|/F=9*10^9*50*10^-9*50*10^-9/300*10-3=75*10^-6

r=8,66*10^-3 м

Answer 2

The question you asked is about the Coulomb's law of electrostatics, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for the Coulomb's force is:

$$F = k \frac{q_1 q_2}{r^2}$$

where $F$ is the force, $k$ is the Coulomb's constant, $q_1$ and $q_2$ are the charges, and $r$ is the distance.

To answer your question, we need to find the value of $r$ given the values of $F$, $k$, $q_1$, and $q_2$. We can rearrange the formula as follows:

$$r = \sqrt{k \frac{q_1 q_2}{F}}$$

Now, we can plug in the values given in the question. We have:

- $F = 300 \times 10^{-3} \text{ N}$ (the force is given in millinewtons, so we need to convert it to newtons) - $k = 9 \times 10^9 \text{ N m}^2 \text{ C}^{-2}$ (this is the standard value of the Coulomb's constant) - $q_1 = q_2 = 50 \times 10^{-9} \text{ C}$ (the charges are given in nanocoulombs, so we need to convert them to coulombs)

Substituting these values into the formula, we get:

$$r = \sqrt{9 \times 10^9 \times \frac{50 \times 10^{-9} \times 50 \times 10^{-9}}{300 \times 10^{-3}}}$$

Simplifying the expression, we get:

$$r = \sqrt{7.5 \times 10^{-3}}$$

Taking the square root, we get:

$$r \approx 0.0866 \text{ m}$$

Therefore, the distance between the two balls is approximately 0.0866 meters or 8.66 centimeters. This is the answer to your question. I hope this helps you understand the concept of Coulomb's law and how to apply it to solve problems.