Question

Во сколько раз надо изменить заряд одного из двух точечных тел , что бы при увеличении расстояния между ними в 16 раз сила их взаимодействия не изменялась?

Answer 1

Q=заряд, F=сила. F=kq1q2/r2 q=4 раза, надо увеличить заряд 4 разв

Answer 2

Calculating the Change in Charge for Constant Force

To calculate the change in charge required for one of the two point charges to maintain a constant force while increasing the distance between them by 16 times, we can use the formula for the force between two point charges:

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

Where: - F is the force between the charges - k is Coulomb's constant - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

Applying the Formula

To keep the force constant while increasing the distance by 16 times, we can use the relationship between force, charge, and distance to find the required change in charge.

Let's denote the initial distance between the charges as 'r' and the initial charges as 'q1' and 'q2'. After increasing the distance by 16 times, the new distance becomes '16r'. To maintain the force constant, the charges need to be adjusted.

Calculating the Change in Charge

The change in charge required can be calculated using the following steps:

1. Initial Force (F_initial): - The initial force between the charges can be calculated using the initial distance and charges.

2. New Distance (16r): - After increasing the distance by 16 times, the new distance becomes 16 times the initial distance.

3. New Force (F_new): - Using the new distance and the same charges, we can calculate the new force.

4. Equating the Forces: - Equating the initial force to the new force, we can find the relationship between the initial and new charges.

5. Calculating the Change in Charge: - Using the relationship found in the previous step, we can calculate the change in charge required for one of the charges to maintain a constant force.

Conclusion

The change in charge required to maintain a constant force while increasing the distance between the charges by 16 times can be calculated using the steps outlined above.