A car with a mass of $1400\,\text{kg}$ is moving along a straight, level road at a steady speed of $25\,\text{m s}^{-1}$. The engine’s output power is $30\,\text{kW}$. The car then moves uphill on a slope of $2^\circ$ to the horizontal, while still keeping the same steady speed. What is the output power of the car’s engine when it is travelling up the slope?
- A$12\,\text{kW}$
- B$31\,\text{kW}$
- C$42\,\text{kW}$
- D$65\,\text{kW}$