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8.5: "Convertible" and "Translational" Kinetic Energy
https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/08%3A_C8)_Conservation_of_Energy-_Kinetic_and_Gravitational/8.05%3A_Convertible_and_Translational_Kinetic_Energy
The total kinetic energy is the sum of two terms, the first of which, $K_{cm}$ , can never change: it is, in fact, as constant as the total momentum itself, since it involves the center of mass veloc...The total kinetic energy is the sum of two terms, the first of which, $K_{cm}$ , can never change: it is, in fact, as constant as the total momentum itself, since it involves the center of mass velocity, $v_{cm}$ , which is proportional to the total momentum of the system (recall equation (3.3.4)).

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