Question

Найти силу взаимодействия зарядов 10 нКл и 9 нКл, если расстояние между ними равно 3см

Answer 1

Дано:
q1=10нКл=10*10^-9Кл
q2=9нКл=9*10^-9Кл
k=9*10^9
r=3см=3*10^-2м
Найти: Fкул
Решение:
Fкул=k*q1*q2/r^2=9*10^9*10*10^-9*9*10^-9/9*10^-4=90*10^-5 Н

Answer 2

По закону Кулона:

$F=k \frac{q1*q2}{r^2}$

$F= \frac{9*10^9*10*10^-9*9*10^-9}{0.0009} = \frac{9}{10000}=0.0009= 9*10^-4$

Ответ: 9*10^-4 H

Answer 3

Calculating the Force of Interaction between Charges

To calculate the force of interaction between the given charges, we can use Coulomb's law, which states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Given: - Charge 1 (q1) = 10 nC - Charge 2 (q2) = 9 nC - Distance (r) = 3 cm = 0.03 m

Coulomb's Law Formula

Coulomb's law can be expressed as: F = k * |q1 * q2| / r^2 Where: - F is the force between the charges - k is Coulomb's constant (k ≈ 8.99 x 10^9 N m^2/C^2) - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

Calculating the Force

Plugging in the given values: F = (8.99 x 10^9 N m^2/C^2) * |10 x 10^-9 C * 9 x 10^-9 C| / (0.03 m)^2

Calculating the force using the given values: F = (8.99 x 10^9) * |90 x 10^-18| / 0.0009 F ≈ 8.99 x 10^9 * 90 / 0.0009 F ≈ 8.99 x 10^9 * 100,000 / 0.0009 F ≈ 8.99 x 10^14 / 0.0009 F ≈ 9.99 x 10^17 N

Therefore, the force of interaction between the charges 10 nC and 9 nC, at a distance of 3 cm, is approximately 9.99 x 10^17 N.