Question

Укажите,что обшего есть между законом Кулона м законом всемирного тяготения. Каков физический смысл коэффициента пропорциональности k в законе Кулона?В каких единицах он выражается?

Answer 1

Закон Кулона F=kq₁q₂/r²    k=1/(4πε₀)  k=9*10⁹ н*м²/кл²
смысл введения k - выразить закон в системе СИ.
Иногда используют ε₀ - электрическую постоянную
примерно равную 8,85*10⁻¹² Кл²/Н*м²

закон всемирного тяготения F=G*m₁*m₂/r²

в том и другом случае сила прямо пропорциональна произведению зарядов в одном случае, масс в другом случае и эта сила обратно пропорциональна квадрату расстояния между зарядами или массами, а сами они принимаются за материальные точки. 

Answer 2

Similarities between Coulomb's Law and Universal Law of Gravitation

Coulomb's Law and the Universal Law of Gravitation share several similarities. Both laws describe the force between two objects, and they are both inverse-square laws. Additionally, they both involve a constant of proportionality.

Coulomb's Law states that the force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. It is given by the equation:

F = k * (|q1 * q2|) / r^2

Where: - F is the force between the charges, - k is the Coulomb's constant, - q1 and q2 are the magnitudes of the charges, and - r is the distance between the charges.

Universal Law of Gravitation describes the force of gravitational attraction between two objects. It is given by the equation:

F = G * (|m1 * m2|) / r^2

Where: - F is the force of gravity between the masses, - G is the gravitational constant, - m1 and m2 are the masses of the objects, and - r is the distance between the centers of the masses.

Physical Meaning of the Proportionality Constant (k) in Coulomb's Law

The physical meaning of the proportionality constant k in Coulomb's Law is that it represents the ability of the medium between the charges to transmit the electric force. The value of k depends on the properties of the medium, such as its permittivity. In a vacuum, the value of k is equal to 8.9875 x 10^9 N m^2/C^2.

Units of the Proportionality Constant (k)

The units of the proportionality constant k in Coulomb's Law can be derived from the equation:

F = k * (|q1 * q2|) / r^2

By rearranging the equation, the units of k can be expressed as:

k = F * r^2 / (|q1 * q2|)

Substituting the units of force (N), distance (m), and charge (C) into the equation, the units of k are:

k = N m^2/C^2

This means that the unit of the proportionality constant k in Coulomb's Law is newton meter squared per coulomb squared (N m^2/C^2).

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