An aeroplane, when fully loaded, has a total mass of $1.2 \times 10^5\,\text{kg}$ as it rises after take-off. It is ascending at an angle of $23^\circ$ above the horizontal and moving at a speed of $50\,\text{m s}^{-1}$. What is the rate at which its potential energy is increasing at this moment?
- A$2.3 \times 10^6\,\text{J s}^{-1}$
- B$2.5 \times 10^6\,\text{J s}^{-1}$
- C$2.3 \times 10^7\,\text{J s}^{-1}$
- D$2.5 \times 10^7\,\text{J s}^{-1}$