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Energy is the conserved quantity associated to time-translation invariance and represents the work a system is capable of doing. Use this tag for questions about energy, and consider adding the [energy-conservation] tag if it is specifically about its conservation.
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Relation between the conservation of Energy and the conservation of Momentum?
I also wondered about this - the limitations imposed on solutions of elastic collisions by the dual laws of conservation of both momentum and kinetic energy - and whether there is there a combination of … The plots show the results, post collision, for the velocities of mass 1 ( x axis) and mass 2 (y axis), under conservation of momentum and conservation of kinetic energy. …