An engine is pulling a train along a mountain railway track that is inclined at an angle of $30^\circ$ to the horizontal. The train is transporting $200$ passengers, each with an average mass of $70\,\text{kg}$, and it is moving at $6.0\,\text{m s}^{-1}$. The mass of the train itself is $80\,000\,\text{kg}$. Of the power supplied by the engine, $40\%$ is used to lift the train and its passengers. Calculate the power of the engine?
- A$1.1\,\text{MW}$
- B$2.8\,\text{MW}$
- C$6.9\,\text{MW}$
- D$14\,\text{MW}$