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Starting from the classical Newton's second law which, according to ourassumption, is valid in any instantaneous inertial rest frame of body thatmoves in Minkowskian space-time we get the relativistic equation of motion$\vec{F}=d\vec{p}/dt$, where $\vec{p}$ is the relativistic momentum. Therelativistic momentum is then derived without referring to any additionalassumptions concerning elastic collisions of bodies. Lorentz-invariance of therelativistic law is proved without tensor formalism. Some new method of forcetransformation is also presented.

Derivation of the relativistic momentum and relativistic equation of motion from Newton's second law and Minkowskian space-time geometry