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I am asking assistance in addressing several questions I have with the relativistic kinetic energy expressions given as {I am sorry for the format of the notations. It was inadvertently distorted.}

and its equivalent presented in the form of a series

The following inconsistencies are observed

#1

Because the Eq. 2 does not lead to infinity, even with

Please explain the contradiction.

#2

Einstein states [1] that “In accordance with the theory of relativity the kinetic energy of a material point of mass

Please explain the contradiction.

REFERENCES:

1. Einstein, A. “Relativity. The special and General Theory.” Barnes & Noble, 2004.

I am asking assistance in addressing several questions I have with the relativistic kinetic energy expressions given as {I am sorry for the format of the notations. It was inadvertently distorted.}

*KE*=*mc*2 [1/sqrt(1-(*v*2/*c*2)) -1] (1)and its equivalent presented in the form of a series

*KE*=*mc*2 +*m*(*v*2/2) + (3/8)*m*(*v*4/*c*2) +(5/16)*m*(*v*6/*c*4) (2)The following inconsistencies are observed

#1

Because the Eq. 2 does not lead to infinity, even with

*v*approaching c, the question arises about the validity of the inference from Eq. 1 that [1] “This expression approaches infinity as the velocity*v*approaches the velocity of light*c*. The velocity must therefore always remain less than c, however great may be the energies used to produce the acceleration.”Please explain the contradiction.

#2

Einstein states [1] that “In accordance with the theory of relativity the kinetic energy of a material point of mass

*m*is no longer given by the well-known expression*m*(*v*2/2) but by the expression (1).” Further, by explaining Eq.2, Einstein [1] notes that “The first term*mc*2 does not contains the velocity, and requires no consideration if we are only dealing with the question as to how the energy of a point-mass depends on the velocity.” To my mind, this statement essentially nullifies any use of the Eq. 1 for the calculation of the kinetic energy of the point mass because both*v*and*c*have to be used in this expression to carry out the calculation.Please explain the contradiction.

REFERENCES:

1. Einstein, A. “Relativity. The special and General Theory.” Barnes & Noble, 2004.

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