The Experts below are selected from a list of 6432 Experts worldwide ranked by ideXlab platform

Chen Wei-guo - One of the best experts on this subject based on the ideXlab platform.

Koczan, Grzegorz M. - One of the best experts on this subject based on the ideXlab platform.

  • Defining of three-dimensional acceleration and inertial mass leading to the simple form F=MA of relativistic motion equation
    2020
    Co-Authors: Koczan, Grzegorz M.
    Abstract:

    Newton Second Law of dynamics is a Law of motion but also a useful definition of force (F=MA) or inertial mass (M=F/A), assuming a definition of acceleration and parallelism of force and acceleration. In the special theory of relativity, out of these three only the description of force (F=dp/dt) does not raise doubts. The greatest problems are posed by mass, which may be invariant rest mass or relativistic mass or even directional mass like longitudinal mass. This results from breaking the assumption of parallelism of force and standard acceleration. It turns out that these issues disappear if the relativistic acceleration A is defined as a relativistic velocity subtraction formula. This basic fact is obscured by some subtlety related to the calculation of the relativistic differential of velocity. It is based on the direction of force rather than on transformation to a resting system. The reference to a non-resting system generates a (seemingly) different velocity subtraction formula. Thus, the relativistic three-dimensional acceleration is neither rest acceleration, nor four-acceleration, nor standard acceleration. As a consequence, inertial mass in any direction of the force has the same value as relativistic mass. In other words, the concepts of transverse mass and longitudinal mass, which depend on velocity, have been unified. In this work a full relativistic equation is derived for the motion of a body with variable mass whose form confirmed the previously introduced definitions. In addition, these definitions are in line with the general version of the principle of mass and energy equivalence. The work presents a detailed review and discussion of different approaches to the subject in relation to original historical and contemporary texts. On this basis, a proposal is made for consistent definition of relativistic quantities associated with velocity change.Comment: 25 pages, 3 figures, 2 tables, 110 references, 120 equation

Grzegorz Koczan - One of the best experts on this subject based on the ideXlab platform.

  • defining of three dimensional acceleration and inertial mass leading to the simple form f ma of relativistic motion equation
    arXiv: History and Philosophy of Physics, 2019
    Co-Authors: Grzegorz Koczan
    Abstract:

    Newton Second Law of dynamics is a Law of motion but also a useful definition of force (F=MA) or inertial mass (M=F/A), assuming a definition of acceleration and parallelism of force and acceleration. In the special theory of relativity, out of these three only the description of force (F=dp/dt) does not raise doubts. The greatest problems are posed by mass, which may be invariant rest mass or relativistic mass or even directional mass like longitudinal mass. This results from breaking the assumption of parallelism of force and standard acceleration. It turns out that these issues disappear if the relativistic acceleration A is defined as a relativistic velocity subtraction formula. This basic fact is obscured by some subtlety related to the calculation of the relativistic differential of velocity. It is based on the direction of force rather than on transformation to a resting system. The reference to a non-resting system generates a (seemingly) different velocity subtraction formula. Thus, the relativistic three-dimensional acceleration is neither rest acceleration, nor four-acceleration, nor standard acceleration. As a consequence, inertial mass in any direction of the force has the same value as relativistic mass. In other words, the concepts of transverse mass and longitudinal mass, which depend on velocity, have been unified. In this work a full relativistic equation is derived for the motion of a body with variable mass whose form confirmed the previously introduced definitions. In addition, these definitions are in line with the general version of the principle of mass and energy equivalence. The work presents a detailed review and discussion of different approaches to the subject in relation to original historical and contemporary texts. On this basis, a proposal is made for consistent definition of relativistic quantities associated with velocity change.

J. P. Pereira - One of the best experts on this subject based on the ideXlab platform.

  • Testing the Newton Second Law in the regime of small accelerations
    Astronomy & Astrophysics, 2009
    Co-Authors: V. A. De Lorenci, M. Faúndez-abans, J. P. Pereira
    Abstract:

    It has been pointed out that the Newtonian Second Law can be tested in the very small acceleration regime by using the combined movement of the Earth and Sun around the Galactic center of mass. It has been shown that there are only two brief intervals during the year in which the experiment can be completed, which correspond to only two specific spots on the Earth surface. An alternative experimental setup is presented to allow the measurement to be made on Earth at any location and at any time.

V. A. De Lorenci - One of the best experts on this subject based on the ideXlab platform.

  • Testing the Newton Second Law in the regime of small accelerations
    Astronomy & Astrophysics, 2009
    Co-Authors: V. A. De Lorenci, M. Faúndez-abans, J. P. Pereira
    Abstract:

    It has been pointed out that the Newtonian Second Law can be tested in the very small acceleration regime by using the combined movement of the Earth and Sun around the Galactic center of mass. It has been shown that there are only two brief intervals during the year in which the experiment can be completed, which correspond to only two specific spots on the Earth surface. An alternative experimental setup is presented to allow the measurement to be made on Earth at any location and at any time.