- #1
exponent137
- 557
- 33
I heard that proportionality of kinetic energy with square of velocity, ##E_k\propto v^2##, can be derived with help of quadratic forms.
It goes like: we guess that ##E_k\propto v^2## and we assume that momentum ##p\propto v##, then equation is valid in another inertial system. And so on. The we try with ##E_k\propto v^3## and it does not work on this way.(I will not write all equations, for now.)
I think that I understand this principle, but I wish some references, where this is explained. And, I wish a more general explanation, maybe my explanation is too specific.
It goes like: we guess that ##E_k\propto v^2## and we assume that momentum ##p\propto v##, then equation is valid in another inertial system. And so on. The we try with ##E_k\propto v^3## and it does not work on this way.(I will not write all equations, for now.)
I think that I understand this principle, but I wish some references, where this is explained. And, I wish a more general explanation, maybe my explanation is too specific.