
З однієї маленької металевої кульки на iншу перенесли певну кількість електронів. Кульки почали
притягатися із силою 16 мн. Скільки електронів перенесено, якщо відстань між кульками становить 10 см? Початкові заряди кульок дорiвнювали нулю. Даю 100 балов

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To calculate the number of electrons transferred between the two small metal spheres, we can use Coulomb's law, which 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: - Force between the spheres: 16 N - Distance between the spheres: 10 cm = 0.1 m
Let's assume that the charge on one of the spheres is q1 and the charge on the other sphere is q2. Since the initial charges on both spheres are zero, we can assume that one sphere gained electrons (negative charge) and the other lost electrons (positive charge).
Using Coulomb's law, we can write the equation for the force between the spheres as:
F = k * (|q1| * |q2|) / r^2
Where: - F is the force between the spheres (16 N) - k is the electrostatic constant (9 x 10^9 Nm^2/C^2) - |q1| and |q2| are the magnitudes of the charges on the spheres - r is the distance between the spheres (0.1 m)
We can rearrange the equation to solve for the product of the charges:
|q1| * |q2| = (F * r^2) / k
Substituting the given values:
|q1| * |q2| = (16 * 0.1^2) / (9 x 10^9)
Calculating the right side of the equation:
|q1| * |q2| ≈ 1.78 x 10^-10 C^2
Since the charges on the spheres are equal in magnitude but opposite in sign, we can assume that |q1| = |q2| = q.
Therefore, q^2 ≈ 1.78 x 10^-10 C^2.
To find the value of q, we can take the square root of both sides:
q ≈ √(1.78 x 10^-10) C
Calculating the approximate value of q:
q ≈ 1.33 x 10^-5 C
Since the charge of an electron is approximately 1.6 x 10^-19 C, we can calculate the number of electrons transferred by dividing q by the charge of an electron:
Number of electrons transferred = q / (1.6 x 10^-19 C)
Calculating the number of electrons transferred:
Number of electrons transferred ≈ (1.33 x 10^-5) / (1.6 x 10^-19) ≈ 8.31 x 10^13 electrons
Therefore, approximately 8.31 x 10^13 electrons were transferred between the two small metal spheres.
Please note that the above calculations are based on the given information and assumptions.


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