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Dec 1 at 4:10 comment added Madara Uchiha Yes, Sir. $U_P$ and $U_K$ denote Total Potential Energy and Total Kinetic Energy, respectively. In my book, only the formula $IE = U_P + U_K$ is given. After that, it states, "For ideal gases, $U_P = 0$, and hence $IE = U_K$ only for ideal gases." However, they did not explain the origin of this equation. I was attempting to derive it using a method similar to the one used to derive Electrostatic Potential Energy.
Nov 30 at 20:12 history edited Cleonis CC BY-SA 4.0
Added discussion of the conversions of energy in elastic collision
Nov 30 at 16:34 comment added Madara Uchiha Sir, first of all, thank you for taking the time to read the post—it was indeed lengthy. Sir, is there any way I can intuitively grasp the equation $IE=U_P+U_K$ in alignment with the method I use to understand potential energy? I’ve given it an appreciable amount of thought and reasoning but still can’t seem to find a way to understand it. I can’t skip it either, as it’s a part of my physical chemistry curriculum too.
Nov 30 at 14:53 history answered Cleonis CC BY-SA 4.0