The Kinetic Energy (K.E.) in Terms of Linear Momentum in Physics: Introducing The Supradip's Ener-mentum Factor — With Detailed Discussion and Significance

This research successfully establishes an analytical bridge between linear momentum (p) and kinetic energy (K.E.) through the introduction of Supradip’s Ener-mentum Factor S_p = p/2m = K.E. /p  . Dimensional analysis confirms that S_p carries the units of velocity (m/s), corresponding directly to half the instantaneous speed of the moving body (v/2). By linearizing the classical quadratic relation into K.E. = p×S_p  , the framework simplifies energy calculations and demonstrates that under constant momentum, both K and S_p are strictly inversely proportional to mass ( m^(-1) ). Executed 'Fully SOLO' within a rapid 3-to-3.5-hour timeframe approximately, this paper provides a clean, pedagogically, and overall valuable formulation for Physics.

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