An escalator in an underground station is carrying $25$ people and is travelling at a speed of $4.3\,\text{m s}^{-1}$. The mean mass of a person is $78\,\text{kg}$, and the escalator is at an angle of $40^\circ$ to the horizontal. What is the minimum power needed to lift these people?
- A$5.4\,\text{kW}$
- B$6.4\,\text{kW}$
- C$53\,\text{kW}$
- D$63\,\text{kW}$