Question

Дві однакові металеві кульки, що мають заряди 6 мкКл 1-12 мк, розташовуються на відстані 60 см одна від одної. Визначити силу наемодії між ними після того, як іх привели в зіткнення і потім розвели на попере дню відстані?​

Answer 1

Ответ:

Объяснение:

Дано:

q1= 6 мкКл = 6*10^-6 Кл

q2= - 12 мкКл = -12*10^-6 Кл

r= 60 см= 0,6 м

F -?

Коли дві однакові кулі зіткнулися їх заряди стали рівні

q1=q2= q=(q1 + q2)/2

q= ( 6*10^-6 -12*10^-6)/2= -3*10^-6 Кл

Згідно закону Кулона, сила взаємодії двох точкових нерухомих заряджених тіл в вакуумі прямо пропорційна добутку модулів заряду і обернено пропорційна квадрату відстані між ними.

F= k*((|q1|*|q2|)/r^2))=  k*((q^2/r^2))   де   q1; q2 - величина зарядів [Кл]

r- відстань між зарядами [м]

k  = 9*10^9 [Н *м2 / Кл2] - коефіцієнт пропорційності

Звідси визначимо силу взаємодії або силу Кулона

F=9*10^9 * ((-3*10^-6)^2/(0,6)^2))= 225*10^-3 (H) = 225 (мН)

Answer 2

To determine the force of interaction between two charged metal spheres, we can use Coulomb's law. Coulomb's law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Given: - Two metal spheres with charges of 6 μC and -12 μC. - The spheres are initially separated by a distance of 60 cm.

To find the force of interaction between the spheres after they are brought into contact and then separated by a distance of one meter, we need to follow these steps:

1. Calculate the initial force of interaction between the spheres before they are brought into contact. - The formula for Coulomb's law is: F = k * (q1 * q2) / r^2, where F is the force, k is the electrostatic constant (9 × 10^9 N m^2/C^2), q1 and q2 are the charges of the spheres, and r is the initial distance between them. - Plugging in the values, we have: F_initial = (9 × 10^9 N m^2/C^2) * ((6 × 10^-6 C) * (-12 × 10^-6 C)) / (0.6 m)^2.

2. Calculate the final force of interaction between the spheres after they are brought into contact and then separated by a distance of one meter. - After the spheres are brought into contact, they will share charge until they reach equilibrium. Since they have the same magnitude of charge, they will each have a charge of -6 μC. - The formula for Coulomb's law remains the same, but now the charges are both -6 μC. - Plugging in the values, we have: F_final = (9 × 10^9 N m^2/C^2) * ((-6 × 10^-6 C) * (-6 × 10^-6 C)) / (1.6 m)^2.

3. Calculate the difference in force between the initial and final states. - The difference in force can be calculated by subtracting the final force from the initial force: ΔF = F_final - F_initial.

Let's calculate the values using the given information:

Calculation:

1. Calculate the initial force of interaction: - F_initial = (9 × 10^9 N m^2/C^2) * ((6 × 10^-6 C) * (-12 × 10^-6 C)) / (0.6 m)^2. - Plugging in the values, we get: F_initial = -0.45 N.

2. Calculate the final force of interaction: - F_final = (9 × 10^9 N m^2/C^2) * ((-6 × 10^-6 C) * (-6 × 10^-6 C)) / (1.6 m)^2. - Plugging in the values, we get: F_final = 0.16 N.

3. Calculate the difference in force: - ΔF = F_final - F_initial. - Plugging in the values, we get: ΔF = 0.16 N - (-0.45 N) = 0.61 N.

Therefore, the force of interaction between the spheres after they are brought into contact and then separated by a distance of one meter is 0.61 N.