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We present a critical analysis of the classical approaches to energy subjects, based on the work-energy theorem and the conservation of mechanical energy proposed in the courses of the first years of tertiary education. We show how these…

Physics Education · Physics 2025-10-06 Alvaro Suarez , Daniel Baccino , Arturo C. Marti , Martin Monteiro

In standard textbooks of college physics, the Work Energy Theorem is usually presented for inertial frames of references and it is clear that energy is conserved when there is not net work of interaction forces. But what happens when energy…

Classical Physics · Physics 2011-01-04 D. M. Fernández , M. F. Carusela , C. D. El Hasi

This work formulates and gives grounds for general principles and theorems that question the energy function doctrine and its quantum version as a genuine law of nature without borders of adequacy. The emphasis is on the domain where the…

General Physics · Physics 2011-09-23 V. E. Shapiro

It is demonstrated that energy conservation allows for a straight derivation of Newtonian mechanics without an apriori definition of the concept of work. Furthermore it is shown that energy must be depicted as a function of position and…

Classical Physics · Physics 2026-03-03 C. Baumgarten

In some cases, it is possible to show the conservation of energy by using equations of motion in mechanics. By considering these results, some people can think that the conservation of energy is the result of equations of motion or Newton's…

General Physics · Physics 2025-02-21 Vedat Tanriverdi

The study rederives the fundamental equations of fluid flow and examines the inherent relationship between momentum conservation and mechanical energy conservation. It is shown that the material derivative of velocity is to depict the…

Fluid Dynamics · Physics 2023-12-07 Peng Shi

Literature analyzes the way in which Newton's second law can be used when non-inertial rotating systems are used. However, the treatment of the work and energy theorem in rotating systems is not considered in textbooks. In this paper, we…

Classical Physics · Physics 2015-01-20 Diego A. Manjarres , William J. Herrera , Rodolfo A. Diaz

In the present work foundations of the law of the energy conservation and the introduction of particles in the classical electrodynamics are discussed. We pay attention to a logic error which takes place at an interpretation of the…

Classical Physics · Physics 2008-02-03 E. G. Bessonov

From a new perspective, this paper rederives Lagrange's equations. By applying the chain rule of differentiation, the intrinsic relationship between the momentum theorem and the kinetic energy theorem is first established. Subsequently,…

Classical Physics · Physics 2026-05-18 Peng Shi

We discuss the role of the internal forces and how their work changes the energy of a system. We illustrate the contribution of the internal work to the variation of the system's energy, using a pure mechanical example, a thermodynamical…

Physics Education · Physics 2016-06-02 Julio Guemez , Manuel Fiolhais , Lucilia Brito

There are three electromagnetic integrals of motion that can be interpreted as the energy. These are the background energy, the elastic energy and the integral in the torsion field commonly referred to as the energy of the electromagnetic…

General Physics · Physics 2007-05-23 Valery P. Dmitriyev

It is usual in introductory courses of mechanics to develop the work and energy formalism from Newton's laws. On the other hand, literature analyzes the way in which forces transform under a change of reference frame. Notwithstanding, no…

Classical Physics · Physics 2015-01-20 Rodolfo A. Diaz , William J. Herrera , Diego A. Manjarres

Single particle models are sufficient for many topics in introductory physics courses, but become misleading when applied to situations involving changes in internal energy. This paper merges two parallel attempts to reform the teaching of…

Physics Education · Physics 2007-06-29 Matthew L. Greenwolfe

We argue that statistical mechanics of systems with relaxation implies breaking the energy function of systems into two having different transformation rules. With this duality the energy approach incorporates the generalized vortex forces.…

General Physics · Physics 2013-05-23 V. E. Shapiro

In electrostatics, we can use either potential energy or field energy to ensure conservation of energy. In electrodynamics, the former option is unavailable. To ensure conservation of energy, we must attribute energy to the electromagnetic…

History and Philosophy of Physics · Physics 2022-10-07 Charles T. Sebens

In this paper, through a criticism of what we call the paradigmatic view of thermodynamics, we aim at showing a new perspective attained in this matter. The generalization of heat as internal energy (generalization of the kinetic energy…

General Physics · Physics 2007-05-23 Rodrigo de Abreu

The purpose of this brief note is that of discussing the meaning of the uncertainty relations involving energy and time in quantum mechanics by means of a reading of the classical works on the subject. This was written for undergraduate…

Physics Education · Physics 2007-05-23 Gaston Giribet

According to the general theory of relativity, kinetic energy contributes to gravitational mass. Surprisingly, the observational evidence for this prediction does not seem to be discussed in the literature. I reanalyze existing experimental…

General Relativity and Quantum Cosmology · Physics 2011-01-13 S. Carlip

This short report is dedicated to the 40th anniversary of International Journal of Modern Physics A (IJMPA) and Modern Physics Letters A (MPLA). While the report is based on a series of papers[1-8], its content reflects my personal…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Sinya Aoki

In a recent paper, PNAS, 118, e1921529118 (2021), it was argued that while the standard definition of conservation laws in quantum mechanics, which is of a statistical character, is perfectly valid, it misses essential features of nature…

Quantum Physics · Physics 2024-01-26 Yakir Aharonov , Sandu Popescu , Daniel Rohrlich
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