Exploring the Deviation of the Kinetic Energy Equation in Classical Physics and Theory of Relativity using Taylor Series

Abstract

Isaac Newton’s system of classical physics continued to be the prevalent physics theory until Albert Einstein’s establishment of the theory of relativity, which is now perceived as modern physics. However, what is the essential difference between these theories? And what are the practical implications of these deviations between classical and modern physics? This essay utilizes Taylor Series to examine the difference in the expressions for kinetic energy in both theories. In conclusion, the equation for kinetic energy in classical physics deviates from that of modern physics in terms of its precision: classical physics can be an efficient tool to employ when calculating the energy for low-velocity objects with less accurate results, whereas modern physics is more generally utilized for high-velocity objects with high demand for accuracy.