A train with a mass of $3.3 \times 10^{6}\ \text{kg}$ is travelling at constant speed up a slope that makes an angle of $0.64^{\circ}$ to the horizontal. The train’s engine has a useful output power of $14\ \text{MW}$. Assume that no frictional forces oppose the train’s motion. Calculate the speed of the train.
- A$0.43\ \text{m s}^{-1}$
- B$4.2\ \text{m s}^{-1}$
- C$39\ \text{m s}^{-1}$
- D$380\ \text{m s}^{-1}$