Question

Сила притяжения двух одинаковых металических шаров находящихся на расстоянии 14см, равна 35мкН. После того как шары были проведены в соприкосновение и удалены на прежнее расстояние, они стали отталкиваться с силой 95мкН. Определить заряды q1 и q2 шаров до соприкосновения. Диаметр шаров считать много меньшим расстоянии между ними.

Answer 1

ттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттт

Answer 2

Calculation of Charges on the Spheres

To determine the charges on the spheres before they were brought into contact, we can use the information provided about the forces of attraction and repulsion.

Let's denote the charges on the spheres as q1 and q2, respectively.

1. Force of attraction between the spheres before contact: - The force of attraction between two charged objects can be calculated using Coulomb's law, which states that the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. - Given that the force of attraction between the spheres is 35 μN and the distance between them is 14 cm, we can use the formula for Coulomb's law to find the charges on the spheres. - The formula for Coulomb's law is: F = k * (q1 * q2) / r^2, where F is the force of attraction, k is the electrostatic constant, q1 and q2 are the charges on the spheres, and r is the distance between them. - Rearranging the formula, we have: q1 * q2 = (F * r^2) / k. - Plugging in the given values, we get: q1 * q2 = (35 * 10^-6 * (0.14)^2) / k. - We need the value of the electrostatic constant, k, to calculate the charges. Unfortunately, the search results did not provide the value of k. However, we can assume that it is the same as the vacuum permittivity, which is approximately 8.854 × 10^-12 C^2/N·m^2. - Using this value for k, we can calculate the product of the charges: q1 * q2 = (35 * 10^-6 * (0.14)^2) / (8.854 × 10^-12). - Simplifying the expression, we find: q1 * q2 ≈ 0.000695 C^2.

2. Force of repulsion between the spheres after contact: - After the spheres are brought into contact and then separated to their original distance, they repel each other with a force of 95 μN. - This force of repulsion can also be calculated using Coulomb's law, with the same charges on the spheres and the same distance between them. - Using the formula for Coulomb's law, we have: F = k * (q1 * q2) / r^2. - Plugging in the given values, we get: 95 * 10^-6 = k * (q1 * q2) / (0.14)^2. - Since we already know the value of q1 * q2 from the previous calculation, we can substitute it into the equation: 95 * 10^-6 = k * 0.000695 / (0.14)^2. - Solving for k, we find: k ≈ (95 * 10^-6 * (0.14)^2) / 0.000695.

3. Determining the charges on the spheres: - Now that we have the value of k, we can substitute it back into the equation for q1 * q2 to find the individual charges on the spheres. - Plugging in the known values, we get: q1 * q2 ≈ 0.000695 C^2 = [(35 * 10^-6 * (0.14)^2) / (8.854 × 10^-12)]. - Rearranging the equation, we have: q1 * q2 ≈ (35 * 10^-6 * (0.14)^2) / (8.854 × 10^-12). - Solving for q1, we find: q1 ≈ [(35 * 10^-6 * (0.14)^2) / (8.854 × 10^-12)] / q2. - Similarly, solving for q2, we find: q2 ≈ [(35 * 10^-6 * (0.14)^2) / (8.854 × 10^-12)] / q1.

Unfortunately, the search results did not provide the value of the electrostatic constant, k, which is necessary to calculate the charges on the spheres. Therefore, we are unable to provide the specific values for q1 and q2. However, you can use the equations provided above to calculate the charges once the value of k is known.

Please note that the search results did not provide a specific source for the information provided.