The Basic Law of Dynamics and The Mach Principle
Keywords:Basic Law of Dynamics, Newton’s Second Law, Mach Principle, Equivalence Principle, Inert Mass, Gravitational Mass
The dependences of inertial and gravimetric masses from each other are derived taking into account the response of the Universe to interacting bodies. It was found that the inertial mass depends not only on the size of the corresponding gravitational mass, but also on the force acting on the body, and the relations of the inert and gravitational masses depend not only on the force acting on the body, but also on the gravitational mass of this body. However, if instead of the ratio of inert and gravitational masses we choose the difference of the inverse values of these masses, the resulting formula turns out to be independent of the gravitational mass of the body. A formula for the basic law of dynamics is proposed taking into account the response of the Universe to interacting bodies in accordance with the Mach principle. It is shown that the error from the use of Newton’s second law without taking into account the response of the Universe to interacting bodies in many experiments can exceed the error caused by other factors.
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