22.5. General Theory of Relativity http://www.ck12.org
- Newton’s Equations with the proper transformations
F=
ma
√
1 −v
2
c^2
P=
mv
√
1 −v
2
c^2- The total energyEis defined asE=mc^2 +KE,
whereKEis the kinetic energy of an object andmis its rest mass.- The correct relativistic addition of velocities equation which Einstein (and Lorentz) derived is
vr=v 1 +v 2
1 +v^1 cv 22wherev 1 is the velocity of an inertial frame(S′)measured in the proper frame(S)andv 2 is the velocity of an
object (or light wave) measured with respect(S′). The relative velocityvris with respect to frame(S).