A train with a total mass of $1200$ tonnes $(1\text{ tonne} = 1000\text{ kg})$ is brought from rest up to a speed of $75\text{ m s}^{-1}$ by a railway engine. What amount of useful work has to be done on the train for it to reach this speed?
- A$1.7 \times 10^6\text{ J}$
- B$3.4 \times 10^6\text{ J}$
- C$1.7 \times 10^9\text{ J}$
- D$3.4 \times 10^9\text{ J}$