A car with mass $500\,\text{kg}$ is initially stationary at point X on a slope, as shown. Its brakes are then released and, with the engine switched off, the car rolls downhill. By point Y the car has descended a vertical distance of $30\,\text{m}$ and is travelling at $11\,\text{m s}^{-1}$. Calculate the energy dissipated by frictional forces as the car moves from X to Y?
- A$3.0 \times 10^4\,\text{J}$
- B$1.2 \times 10^5\,\text{J}$
- C$1.5 \times 10^5\,\text{J}$
- D$1.8 \times 10^5\,\text{J}$