Conservation of Energy
Lesson notes
Overview
Without friction, kinetic plus potential energy stays constant at every point of the track. This topic is rated beginner and is number 23 of 227 in Physics. Core ideas and first intuitions. No prior knowledge needed.
What you are seeing
The panel above shows an interactive animation of the idea. Every slider changes one quantity so you can see its effect on the outcome. The animation is drawn live from the model, so everything you see responds to the sliders. Press Space to pause, use Restart to replay from the start, and change the speed to slow down quick events.
In depth
Energy cannot be created or destroyed, only converted from one form to another. For a frictionless track the sum of kinetic and potential energy is constant at every point. So the total mechanical energy, KE + PE, tells you the speed anywhere without solving the forces. It is a powerful shortcut: to find the speed at the bottom of a ramp, equate the lost potential energy mgh with the gained kinetic energy ½mv².
Reading the relationship
The expression "KE + PE = constant" is a compact summary of the idea. It uses the symbols K, E, P, c, o, n; name what each one stands for before you start. Notice that it contains a trigonometric function, so the result repeats as the angle goes round. Then use the sliders to see how changing one quantity changes the others.
A guided exploration
1. Run the animation once with the default settings and describe in words what happens. 2. Change one slider at a time and note which quantity responds most. 3. Push each slider to its extreme and decide whether the result still makes sense.
Try this
Start by only moving one slider at a time. Say aloud what you expect, then check.
Common pitfalls
Check units and directions first. Many mistakes come from mixing up a scalar with a vector, or from using a formula outside the conditions where it holds.
How it connects
It builds on “Work and Energy on a Track”, the topic before it in Physics. Once you are comfortable, continue with “Energy Loss to Friction”.
Why it matters
Physics explains how the world moves, heats, shines and interacts, and the same principles power technology around you.
Where you might use it
- Revising “Conservation of Energy” before a class, exam or certification
- Designing vehicles, bridges and devices where motion, forces or waves must be predicted
- Understanding how sensors, lasers and communication links actually work
- Explaining everyday phenomena such as sound, light, heat and orbits
Frequently asked questions
What is Conservation of Energy?
Without friction, kinetic plus potential energy stays constant at every point of the track. It is a beginner topic in Physics.
How do I use the Conservation of Energy simulation?
The panel at the top shows an interactive animation of the idea. Every slider changes one quantity so you can see its effect on the outcome. Move the sliders one at a time, then press Space to pause the animation and look closer.
What does the formula mean?
The expression KE + PE = constant packs the idea into symbols. Name each symbol first, then change one quantity with the sliders and see which others respond.
Who is this topic for?
Core ideas and first intuitions. No prior knowledge needed. If the quiz feels hard, reread the lesson notes and try the previous topic first.
What should I learn before this?
Start with “Work and Energy on a Track”, the previous topic in Physics. Each topic in a subject builds on the ones before it.
How do I track my progress?
Press “Mark as learned” on this page. Progress is stored only in this browser and is never sent anywhere. The Browse page can show topics you have learned or still need to learn.