Open Access Open Access  Restricted Access Subscription Access

Review on the Newton’s Second Law of Motion in Special Theory of Relativity

Subhadeep Mukhopadhyay


In this review, the basic features of the special theory of relativity are mentioned in terms of mathematical analysis. The Lorentz matrix is shown by expressing a brief derivation. The length contraction and time dilation are also included and highlighted. Also, the mathematical derivation of relativistic energy is shown. Newton’s laws of motion were invented by Isaac Newton before the invention of the special theory of relativity by Albert Einstein. The relativistic forms of the Newton’s second law of motion in two different cases are shown by mentioning the relevant mathematical derivations. This review work is performed by author in the National Institute of Technology Arunachal Pradesh under the Ministry of Human Resource Development (Government of India).

Keywords: Einstein’s postulates, Special theory of relativity, Relativistic energy, Newton’s second law of motion

Full Text:



D. Chattopadhyay, P. C. Rakshit, “Electricity and Magnetism”, 2012, New Central Book Agency (P) Ltd, Kolkata-700009, India.

S. L. Gupta et al, “Classical Mechanics”, 2003, Pragati Prakashan, Meerut-250001, India.

J. Wudka, “Space-Time, Relativity, and Cosmology”, 2006, Cambridge University Press, United Kingdom.

R. P. Feynman et al., The Feynman Lectures on Physics, 3-Volume Set (Addison-Wesley, USA, 1964).

Albert Einstein, Relativity: The Special and the General Theory, First Edition, 2012, General Press, India.

S. N. Ghoshal, Atomic and Nuclear Physics, Volume 1, S. Chand & Company Ltd, 2001, India.

J. B. Hartle, “Gravity”, Pearson, First Edition, 2016, India.

[8] Isaac Newton, Principia, First Edition, 1687.

Isaac Newton, Principia, Second Edition, 1713.

Isaac Newton, Principia, Third Edition, 1726.

S. Mukhopadhyay, “Special Thoughts in Physics”, OmniScience, Volume 7, Issue 2 (2017) Pages 20-22.


  • There are currently no refbacks.