Two identical metal balls are located at some distance from each other, interact with a force of 0.25 N.

| September 10, 2021 | education

Two identical metal balls are located at some distance from each other, interact with a force of 0.25 N. Determine the distance between the balls if the charge of one of them is +1 μC, and the second is -4 μC.

Given: F (force of interaction) = 0.25 N; q1 (charge of the first ball) = 1 μC (1 * 10 ^ 6-6 C); q2 (charge of the second ball) = -4 μC (-4 * 10 ^ -6 C); we will assume that the balls are in air.

Constants: k (proportionality coefficient) = 9 * 10 ^ 9 N * m2 / Cl2.

The distance between the balls can be expressed from the formula (Coulomb’s law): F = k * | q1 | * | q2 | / r ^ 2, whence r = √ (k * | q1 | * | q2 | / F).

Calculation: r = √ (9 * 10 ^ 9 * 1 * 10 ^ -6 * 4 * 10 ^ -6 / 0.25) ≈ 0.38 m.

Answer: The distance between the balls is 38 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.