Question

Во сколько раз изменится сила взаимодействия между двумя точечными заряженными телами, если расстояние между ними увеличить в 2 раза?

Answer 1

если расстояние увеличить в 2 раза то сила уменьшится  в 4 раза это следует из закона Кулона(сила обратно пропорциональна квадрату расстояний)

Answer 2

Calculating the Change in Force between Two Charged Particles

To calculate the change in force between two point charges when the distance between them is doubled, we can use Coulomb's law, which states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Coulomb's law can be expressed as:

``` F = k * (|q1 * q2|) / r^2 ``` Where: - F is the force between the charges - k is the Coulomb's constant - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

Change in Force with Doubling the Distance

When the distance between the two charges is doubled, the new distance becomes 2r. Using Coulomb's law, we can calculate the change in force.

The original force is given by: ``` F = k * (|q1 * q2|) / r^2 ```

The new force, when the distance is doubled, becomes: ``` F' = k * (|q1 * q2|) / (2r)^2 ```

To find the change in force, we can calculate the ratio of the new force to the original force: ``` Change in force = F' / F ```

Conclusion

The change in force between two point charges when the distance between them is doubled can be calculated using the above method. If you'd like, I can help you with the specific calculations using the given values for the charges and the Coulomb's constant.