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Theorem on the proportionality of inertial and gravitational masses in classical mechanics

Andrew E. Chubykalo, Stoyan J. Vlaev

physics.class-pharXiv:physics/9703031

Abstract

We considered the problem of the proportionality of inertial and gravitational masses in classical mechanics. We found that the kinetic energy of a material mass point m in a circular motion with a constant angular velocity around another material point M depends only on its gravitational mass. This fact, together with the known result that the straight line is a circumference with an infinite radius, allowed us to prove the proportionality between the inertial and gravitational masses.

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