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The potential energy of an object is related to its height above a reference point. In this diagram, the train's potential energy is greatest when it is at the highest point because potential energy is calculated using the formula:

\[
PE = mgh
\]

where:
- \( PE \) is the potential energy,
- \( m \) is the mass of the object (train),
- \( g \) is the acceleration due to gravity, and
- \( h \) is the height above the reference point.

In the image, location **(1)** is the highest point on the track, so the train has the greatest potential energy at location **(1)**.

Would you like further details or have any other questions?

Here are 5 related questions to think about:
1. How is potential energy different from kinetic energy?
2. What happens to the train's potential energy as it moves from position (1) to (3)?
3. Can potential energy ever be negative? If so, under what conditions?
4. How is the speed of the train related to its kinetic energy at position (3)?
5. How would increasing the mass of the train affect its potential energy at position (1)?

**Tip:** Remember, potential energy increases with height but is independent of the speed or velocity of the object at any given point.

The location on the track where the train has the greatest potential energy is: (1) at the highest point of the track.

Understand how to calculate the greatest potential energy of a train on a track by analyzing different positions. This problem involves the formula PE = mgh and key concepts of gravitational potential energy. Suitable for students in Grades 6-8.

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