Newton’s Second Law on Positive Real Line R_+

Authors

  • Mohd Faudzi Umar Department of Physics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, 35900 Tanjong Malim, Perak, Malaysia
  • Nurisya Mohd Shah Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

DOI:

https://doi.org/10.37134/jsml.vol11.sp.17.2023

Keywords:

classical mechanics, positive real line, Newton’s second law

Abstract

In this work, a classical particle that moves on  will be investigated by using the affine commutator relation which corresponds to the Poisson bracket in classical mechanics where the equation of motions and the Newton’s second law will be modified. Two example of physical systems will be studied further using the modified Newton’s second law namely free particle and harmonic oscillator. The result concludes that for a free particle, the force on  is no longer zero and a linear force due positive real line and fixed momentum. While, classical dynamics on   for simple harmonic oscillator system is a qubic force.

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Author Biography

Nurisya Mohd Shah, Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

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Published

2023-11-09

How to Cite

Umar, M. F., & Mohd Shah, N. (2023). Newton’s Second Law on Positive Real Line R_+. Journal of Science and Mathematics Letters, 11, 158–162. https://doi.org/10.37134/jsml.vol11.sp.17.2023

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