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which mathematical equation represents newtons 2nd law. However students who inquire only as far as identifying the equation that represents the ideas of this law frequently misunderstand the interpretation of the right hand side of the equation and make numerous mistakes in problem solving. Where S is the entropy of the system and t is time.
The equality sign applies after equilibration. This is often written in the more familiar form. In this mode of motion Newtons second law is written in one-dimensional approximation as the following differential equation.
M d2x dt2 m dv dt kv.
The mathematical result of both cases is as follows. As expected the result is the same for both. Where S is the entropy of the system and t is time. F d p d t.