# Two balls, located at a distance of 10 cm from each other, have the same negative charges and interact with

Two balls, located at a distance of 10 cm from each other, have the same negative charges and interact with a force of 0.23 mN. Find the charge of each ball.

To find out the charge of each of the two balls, we use the formula (Coulomb’s law, we assume that these balls are located in vacuum or air): F = | q1 | * | q2 | * k / r ^ 2 = q2 * k / r ^ 2, whence we express: q2 = r ^ 2 * F / k and q = √ (r ^ 2 * F / k) = r * √ (F / k).

Const: k – coefficient of proportionality (k = 9 * 10 ^ 9 N * m2 / Kl)

Data: r – distance (r = 10 cm = 0.1 m); F is the force of interaction (F = 0.23 mN = 0.23 * 10 ^ -3 N).

Calculation: q = r * √ (F / k) = 0.1 * √ (0.23 * 10 ^ -3 / (9 * 10 ^ 9)) ≈ 1.6 * 10 ^ -8 C = 160 μC.

Answer: Each of the two balls must have a charge of 160 μC. 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.