Question

Закон кулона можно записать в виде F=k⋅q1q2r2, где F – сила взаимодействия зарядов (в ньютонах), q1 и q2 – величины зарядов (в кулонах), k – коэффициент пропорциональности (в Н ⋅ м 2 /Кл 2 ), а r – расстояние между зарядами (в метрах). Пользуясь формулой, найдите величину заряда q1 (в кулонах), если k=9⋅109 Н ⋅ м 2 /Кл 2, q2=0,006 Кл, r=300 м, а F=5,4 Н. пожалуйста решите

Answer 1

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Answer 2

Coulomb's Law and Finding the Value of Charge

Coulomb's Law describes the force of interaction between two charged objects. It can be expressed as:

F = k * q1 * q2 / r^2

Where: - F is the force of interaction between the charges (in Newtons) - q1 and q2 are the magnitudes of the charges (in Coulombs) - k is the proportionality constant (in N·m^2/C^2) - r is the distance between the charges (in meters)

In this case, we are given the values of k, q2, r, and F, and we need to find the value of q1.

Let's substitute the given values into the formula and solve for q1:

F = k * q1 * q2 / r^2

Given: - k = 9 * 10^9 N·m^2/C^2 - q2 = 0.006 C - r = 300 m - F = 5.4 N

Substituting the values:

5.4 N = (9 * 10^9 N·m^2/C^2) * q1 * (0.006 C) / (300 m)^2

Simplifying:

5.4 N = (9 * 10^9 N·m^2/C^2) * q1 * (0.006 C) / 90000 m^2

5.4 N = (9 * 10^9 N·m^2/C^2) * q1 * 0.006 C / 90000 m^2

5.4 N = (54 * 10^9 N·m^2/C^2) * q1 / 90000 m^2

Cross-multiplying:

5.4 N * 90000 m^2 = (54 * 10^9 N·m^2/C^2) * q1

486000 N·m^2 = (54 * 10^9 N·m^2/C^2) * q1

Dividing both sides by 54 * 10^9 N·m^2/C^2:

q1 = 486000 N·m^2 / (54 * 10^9 N·m^2/C^2)

Simplifying:

q1 = 9 * 10^-3 C

Therefore, the value of q1 is 9 * 10^-3 C (coulombs).

Please note that the above solution is based on the given values and the application of Coulomb's Law.