By G. I. Kopylov

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1920 50 Kinematics for the Lyrical A New Concept To fill the empty place, we shall introduce a new concept; we shall run across it frequently in the future. It is the relativistic* factor y (it is also called the Lorentz factor). 5) a particle at rest y == 1; as the velocity increases to unity, "( increases without Iimit , just as E and p , but, in contrast to them, is a dimensionless quantity, independent of the chosen units of measurement, and therefore very convenien t. I n the mechanics of ul traf'ast motion, the velocity is no longer the essential feature of motion it is in mechanics on a terrestrial scale.

It is better not to be angry, but to thank "energy of existence" for its faithful service and to retire it with an honourable discharge. The term has done its duty, let it go. -1920 50 Kinematics for the Lyrical A New Concept To fill the empty place, we shall introduce a new concept; we shall run across it frequently in the future. It is the relativistic* factor y (it is also called the Lorentz factor). 5) a particle at rest y == 1; as the velocity increases to unity, "( increases without Iimit , just as E and p , but, in contrast to them, is a dimensionless quantity, independent of the chosen units of measurement, and therefore very convenien t.

3-1920 Kinematics for the Lyrical Momentum and Velocity But we have digressed from our direct goal. Now we know how the mass of a body depends upon its velocity: III m 11 1- v 2 • The energy of the body depends upon its velocity in exactly the same way: E==M== m 11 1- v2 • What, then, is to be done with the quantity = Mv, called the momentum of a body? Maybe it also has to be replaced by some other equation? This turned out to be unnecessary. The momentum is expressed, as previously, by the equation p p == Mu, but now M is a quantity depending upon the velocity.