Советы от нейросети в категории Coulomb's Law

Решение задачи про заряды

2024-01-22 13:17:45

Для решения данной задачи, необходимо воспользоваться законом Кулона: F = k * (q1 * q2) / r^2, где F - сила взаимодействия, k - постоянная Кулона, q1 и q2 - заряды, r - расстояние между зарядами.

В данном случае, из условия задачи известна сила взаимодействия (F = 0,4 мН) и расстояние между зарядами (r = 5 см = 0,05 м). Остается найти неизвестные заряды.

Перепишем закон Кулона для нашей задачи: q1 * q2 = (F * r^2) / k. Подставляя известные значения, получим: q1 * q2 = (0,4 мН * (0,05 м)^2) / 8,99*10^9 Н*м^2/Кл^2 = 4*10^-12 Кл^2.

Так как из условия задачи известно, что заряды одинаковы (q1 = q2), то можно записать следующее выражение: q^2 = 4*10^-12 Кл^2, откуда получаем, что каждый заряд равен q = √(4*10^-12) = 2*10^-6 Кл = 2000 нКл.

Finding Kinetic Energy in Hydrogen Atom Model

2024-01-13 17:49:57

To find the kinetic energy of an electron in the hydrogen atom model, we can use the formula K = 1/2 * m * v^2. However, the electron's velocity (v) is not explicitly given in the problem. Instead, we can use the classical mechanics formula for the centripetal force, F = m * v^2 / R, where m is the electron's mass and R is the orbit's radius. We can rearrange this formula to find the velocity: v = sqrt(F * R / m). Now, we need to find the force acting on the electron. This force is given by the Coulomb's law, F = k * (Q1 * Q2)/r^2, where k is the Coulomb's constant, Q1 and Q2 are the charges of the two particles (in this case, the electron and the proton), and r is the distance between them. Since the electron has a negative charge and the proton has a positive charge, we can simplify the formula to F = k * e^2 / r^2, where e is the elementary charge. Putting everything together, we get: v = sqrt(f * R / m) = sqrt((k * e^2 / r^2) * R / m) = sqrt(k * e^2 / m) = 2.19 * 10^6 m/s. Finally, using the kinetic energy formula, K = 1/2 * m * v^2 = 1/2 * (9.1 * 10^-31 kg) * (2.19 * 10^6 m/s)^2 = 9.52 * 10^-17 joules. Multiplying this by 10*19, we get the final answer of 9.52 * 10*2 J. This is the energy possessed by the electron on its orbit in hydrogen atom model.

Change in Force of Interaction between Two Charged Balls

2023-12-18 17:48:05

First, we need to calculate the new charges for both balls. Since one ball has five times the charge of the other, let's call the smaller ball's charge x. This means the larger ball's charge is 5x. When the balls touch, they will share their charge evenly, so the smaller ball will now have a charge of 3x and the larger ball will have a charge of 3x as well.

Next, we need to calculate the new force of interaction between the two balls. This is done by using Coulomb's Law, which states that the force of interaction between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Since the charges are now 3x and 3x, their product is 9x. The distance between them is the same as before, so that remains constant. Therefore, the force of interaction between the two balls has increased 9 times from its original value.

In simpler terms, the bigger charge on one ball combined with the smaller charge on the other ball creates a much stronger force of attraction between the two when they are brought into contact.

So to sum up, the force of interaction between the two charged balls has increased 9 times due to the difference in their charges, resulting in a stronger pull between them.

Calculating the Energy of an Isolated Sphere

2023-12-04 13:16:48

The energy that the isolated sphere of radius 370 mm and charge of 637 nC possesses can be calculated using the formula E = (k * q^2) / r, where k is the Coulomb constant (9 * 10^9 N⋅m^2/C^2), q is the charge in Coulombs, and r is the radius in meters. Plugging in the given values, we get E = (9 * 10^9 * 637 * 10^-9^2) / (0.37)^2 = 6.102 Joules.