Example 1: Using a Diagram
Question 1
Final answer
As the train enters, it travels uphill, so some of its kinetic energy is transferred to gravitational potential energy. Therefore, the brakes do less work to stop the train.
As the train leaves, it travels downhill, so gravitational potential energy is transferred to kinetic energy. Therefore, the motor does less work to accelerate the train.
Mark scheme points
Any four valid points can score, with no more than three points from either list.
- M1 When entering, kinetic energy is transferred to gravitational potential energy.
- M2 Less work is done by the brakes to stop the train.
- M3 Less braking force is needed.
- M4 The train stops more quickly, or the brakes are needed for less time.
- M5 When leaving, gravitational potential energy is transferred to kinetic energy.
- M6 Less work is done by the motor to accelerate the train.
- M7 Less force is needed from the motor.
- M8 The train accelerates more quickly, or the force is needed for less time to reach a given speed.
Explanation
On the uphill section, gravity opposes the train’s motion. The train gains gravitational potential energy, so the brakes need to remove less kinetic energy. This means less work, and possibly less braking force or braking time.
On the downhill section, gravity helps the train’s motion. Gravitational potential energy is converted into kinetic energy, so the motor supplies less energy to produce the required acceleration. Consequently, the motor does less work and may need to provide less force for less time.
Common mistakes
- Reversing the energy transfers: uphill is kinetic energy to gravitational potential energy; downhill is gravitational potential energy to kinetic energy.
- Saying that the brakes or motor do more work without explaining the energy transfer caused by the slope.
- Describing only a smaller force or shorter time without stating that less work is done.
- Forgetting to discuss both entering the station and leaving the station.