A train on a mountain railway is transporting $200$ people with an average mass of $70\,\text{kg}$ up a slope inclined at $30^\circ$ to the horizontal and moving at a speed of $6.0\,\text{m s}^{-1}$. The train itself has a mass of $80\,000\,\text{kg}$. The fraction of the engine’s power that is used to lift the passengers and the train is $40\%$. What is the power of the engine?
- A$1.1\,\text{MW}$
- B$2.8\,\text{MW}$
- C$6.9\,\text{MW}$
- D$14\,\text{MW}$