1. **Problem:** Determine the total mechanical energy of a 1000 kg car parked on top of a 30 m hill. 2. **Formula:** Total mechanical energy $E = PE + KE$ where $PE = mgh$ and $KE = \frac{1}{2}mv^2$. 3. Since the car is parked, velocity $v=0$, so $KE=0$. 4. Calculate potential energy: $$PE = mgh = 1000 \times 9.8 \times 30 = 294000 \text{ J}$$ 5. Total mechanical energy: $$E = PE + KE = 294000 + 0 = 294000 \text{ J}$$ 6. Convert to kilojoules: $$294000 \text{ J} = 294 \text{ kJ}$$ 7. **Answer:** c. 294 kJ 8. **Why other choices are wrong:** - a. 0 J is incorrect because the car has potential energy due to height. - b. 2.94 J is too small; calculation shows much larger energy. - d. 294 000 kJ is 1000 times too large; correct is 294 kJ.