Read each statement very carefully to make sure that it is

Question

(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 E_sys = W_surr.

The definition of work is W = F_xx + F_yy + F_zz.

The energy principle can be written E_sys,f = E_sys,i + W_surr.

The definition of work is W = < F_xx, F_yy, F_zz >.

The definition of work is W = |< F_xx, F_yy, F_zz >|

(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