(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.
At speeds close to the speed of light, kinetic energy is approximately equal to (1/2)mv2.
The energy principle can be written Esys = Wsurr.
The definition of work is W = Fxx + Fyy + Fzz.
The energy principle can be written Esys,f = Esys,i + Wsurr.
The definition of work is W = < Fxx, Fyy, Fzz >.
The definition of work is W = |< Fxx, Fyy, Fzz >|
(b) An object with mass 70 kg moved in outer space. When it was at location < 7, -23, -3 > its speed was 13.5 m/s. A single constant force < 180, 470, -180 > N acted on the object while the object moved to location < 12, -28, -9 > m. What is the speed of the object at this final location?
Final speed = m/s