In an underground station, an escalator is carrying $250$ people while moving at a velocity of $4.3\,\text{m s}^{-1}$. The mean mass of one person is $78\,\text{kg}$, and the escalator is inclined at an angle of $40^\circ$ to the horizontal. What minimum power is needed to raise these people?
- A$54\,\text{kW}$
- B$64\,\text{kW}$
- C$530\,\text{kW}$
- D$630\,\text{kW}$