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Newtonian analysis of a mechanical system subjected to a velocity dependent force and the existence of conditions to energy conservation

A mechanical system with a velocity-dependent force is analyzed. It is shown that with very particular choices for the resulting force terms it is possible to obtain the result that the total energy of the system is conserved and that it can be divided into three groups, associated with each direction, that hold as individual conservation laws.

energy conservation; velocity-dependent forces; newtonian mechanics


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