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This problem concerns a car traveling at constant speed down a hill, with a change in kinetic energy (ΔEk) and gravitational potential energy (ΔEp).

Key concepts to analyze:
- **Constant speed**: When the car moves at constant speed, its kinetic energy remains unchanged. Therefore, the change in kinetic energy (ΔEk) is zero.
- **Gravitational potential energy**: As the car moves downhill, gravitational potential energy decreases. The change in potential energy (ΔEp) is negative, indicating a loss in potential energy.

Now, let's analyze the given choices:

- **A (ΔEk > ΔEp)**: This cannot be correct because ΔEk is zero (constant speed).
- **B (ΔEk = ΔEp)**: This cannot be correct because ΔEk is zero and ΔEp is negative.
- **C (ΔEp > ΔEk)**: This statement could be misleading because ΔEk is zero and ΔEp is negative.
- **D (ΔEk = 0)**: This is the correct statement, as the car moves at constant speed, meaning no change in kinetic energy (ΔEk = 0).

Thus, **Option D** is the correct answer.

Would you like further explanation or details on this? Here are some related questions to consider:

1. How is gravitational potential energy calculated when an object moves down a hill?
2. Why does constant speed imply no change in kinetic energy?
3. How do friction and braking forces balance the potential energy loss in this scenario?
4. What factors could cause a car's speed to increase when moving downhill?
5. How does energy conservation apply in systems with external forces like brakes?

**Tip**: In problems involving constant speed, remember that no net force acts to change the velocity, which implies no change in kinetic energy.

A car travels at constant speed down a hill from P to Q. The change in kinetic energy is ΔEk and the change in gravitational potential energy is ΔEp. Which statement is correct? Options: A: ΔEk > ΔEp, B: ΔEk = ΔEp, C: ΔEp > ΔEk, D: ΔEk = 0

Learn how to determine the relationship between kinetic energy and potential energy for a car traveling at constant speed downhill. The problem covers the concepts of kinetic and potential energy, energy conservation, and the mechanical work-energy principle. Suitable for high school physics students in Grades 9-12.

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