Classical Physics

   

The Reason for the Striking Similarity Between the Formulas of Coulomb's Law and Newton's Law of Gravitation: The Universal Formula of Force

Authors: Mykola Kosinov

It is shown that the similarity of the formulas of Newton's law of gravitation and Coulomb's law is not a coincidence. The reason for the similarity is that these laws are derived from a single law of force. The forces of inertia, gravitation, electric force, and magnetic force are represented by a single generalized law. A universal formula of force is derived for the generalized law of force interaction. Newton's law of gravity, Newton's second law, Coulomb's law of electrostatics, Ampere's law, Lorentz's law of force, and the centripetal force all follow from the universal formula of force as particular results. The interaction constant in the universal formula of force is the fundamental constant of force Fo = 29.0535101 N. This is the electromagnetic interaction force between two electrons. Despite the electromagnetic status of this constant, it enters both the laws of electromagnetism and the formulas of Newton's laws of mechanics. From the universal formula of force, the equation for calculating the Newtonian constant of gravitation G is derived. The formulas for calculating the Newtonian constant of gravitation G include Planck's constant, Sommerfeld's constant, and the fundamental constants of the electron. This is an unexpected result from the universal formula of force that affects the independent status of the constant G. The dependence of the Newtonian constant of gravitation G on the fundamental physical constants opens the way to obtain a more accurate value of the constant G by calculation. In solving the problem of increasing the accuracy of the Newtonian constant of gravitation G, an important role is assigned to large Dirac numbers. The universal formula of force allows one to elegantly and simply obtain the equation of any force interaction law in mechanics and in electromagnetism using the fundamental constant of force. The Universal formula of force will facilitate the study and understanding of the laws of mechanics and the laws of electromagnetism in the educational process

Comments: 17 Pages.

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[v1] 2024-06-22 02:08:36

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