(a) check all of the following that are correct statements, where e stands for γmc2. read each statement very carefully to make sure that it is exactly correct.
the definition k = e - mc2 is valid even for speeds near the speed of light.
the energy principle can be written esys, f = esys, i + wsurr.
the definition of work is w = fxdeltax + fydeltay + fzdeltaz.
at speeds close to the speed of light, kinetic energy is approximately equal to (1/2)mv2.
the definition of work is w = < fxdeltax, fydeltay, fzdeltaz > .
the definition of work is w = |< fxdeltax, fydeltay, fzdeltaz > |.
the energy principle can be written deltaesys = wsurr.
(b) an object with mass 70 kg moved in outer space. when it was at location < 14, -32, -7 > its speed was 11.5 m/s. a single constant force < 240, 400, -120 > n acted on the object while the object moved to location < 19, -40, -12 > m. what is the speed of the object at this final location?