Data So Clean It’ll Wow You! Cracking the Link Between Potential Energy and Work with Just a Rail and a Marble

Hi, I’m Ken Kuwako, your Science Trainer!

“Anything held up high is packed with energy.”

When it comes to demonstrating potential energy, a pile driver is hands-down the most intuitive and effective tool. The catch? Pile driver kits are pretty pricey.

Mechanical Energy Experiment Apparatus DE-Y2D

I bought one myself, and it really does give clean measurements and makes the concept easy to grasp. But let’s be honest: outfitting eight lab groups with them is a tall order. If you want to keep costs down, the answer is a DIY setup using curtain rails or cable covers. Here’s what that looks like.

The idea is simple: roll a marble down from a height, let it crash into a battery, and measure how far the battery gets pushed. One tricky thing about this experiment is that students may feel like they’re measuring kinetic energy, even though the goal is to measure potential energy. A pile driver has the same quirk, but I’ll admit this setup makes it look even more like a kinetic energy test. Still, the big win is that you can build it yourself, and most schools can gather the materials without much trouble.

What You’ll Need and How to Set It Up

  • A smooth sloped track: You can make one from cable covers or similar materials.
  • Three balls of different masses (a glass marble, an aluminum ball, a brass ball, etc.)

  • A D battery (this is the “cargo” the ball will push)
  • A ruler, tape, and a recording sheet (the worksheet)

Step-by-Step Instructions and Tips for Success

1. Measure the starting height accurately

Before you roll anything, measure the height of the center of the ball.

2. Roll the ball from different heights and measure how far the battery moves

Try four starting heights, for example 5 cm, 10 cm, 15 cm, and 20 cm. It’s really important that students get their eyes down to the level of the ball, crouch if they need to, and let go gently. Why? Because potential energy depends on height, and if the starting height is sloppy, the data won’t be reliable.

Place the battery at the bottom of the slope to serve as your “cargo.” How far can the energy of the ball shove it? By measuring that distance, you’re capturing how much work the ball did. This is the magic moment where invisible energy turns into something you can see and measure!

You can see the experiment in action in this video.

One more tip: when you actually calculate potential energy, what matters is not the height itself but the drop in height.

First, measure from the tabletop to the center of the ball. In this case, it was 3.7 cm.

Next, release the ball from a set height, say 20.0 cm.

That means the drop in height that actually contributes to the potential energy is:

20.0 – 3.7 = 16.3 cm

Surprisingly Clean Results and Analysis

Here’s an example of results from students who actually ran this experiment.

Using these results, I had them draw two kinds of graphs.

Graph 1: Height vs. distance the battery moved (mass held constant)

From bottom to top: the glass marble, the aluminum ball, and the brass ball.

Some students drew a line of best fit, like the one shown on the right, though only 1 of the 16 groups across two classes did.

Graph 2: Mass of the ball vs. distance the battery moved (height held constant)

For example, take the data from the graph above at a height of 12 cm and pull out the distances the battery moved,

then plot them, and you get a graph like this.

Because there were so few data points, some students concluded that the relationship was quadratic, as in the graph on the right.

Most students, though, spotted that the distance is proportional to both height and mass. The trick here is to use balls that are big and heavy.

When the line “potential energy is proportional to height and mass” from their textbook showed up in graphs they had made with their own hands, the students seemed truly convinced.

Worksheet

I’ve also prepared a worksheet for students to record their data and write up their analysis. Feel free to use it!

Work and Energy (Experiment)

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