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Energy

It never gets used up. It just changes form.

A roller coaster climbs slowly, then screams down the hill. A phone charges overnight and runs all day. A sandwich powers your whole afternoon. Each one runs on energy that's stored, moved and changed into something else. On this page you'll learn the main kinds of energy, how to measure it, and the big rule that energy is never created or destroyed.

A roller coaster track with a car at the top of the hill labeled potential energy and a car speeding along the bottom labeled kinetic energy potential energykinetic energy

What is energy?

Energy is the ability to do work or cause change. Anything that moves, heats up, lights up, or makes a sound is using energy.

Scientists measure energy in joules (symbol J). One joule is the energy used when a force of 1 newton pushes something 1 meter. Lifting a small apple about 1 meter off a table takes roughly 1 joule.

Kinetic and potential energy

Kinetic energy is the energy of motion. A rolling bowling ball, a flying baseball, and the wind all have it. The faster and heavier something is, the more kinetic energy it has.

Potential energy is stored energy, waiting to be used. There are several kinds:

  • Gravitational potential energy: stored by height. A book on a high shelf has more than one on the floor.
  • Elastic potential energy: stored by stretching or squashing, like a pulled-back slingshot or a compressed spring.
  • Chemical potential energy: stored in the bonds that hold atoms together, in food, gasoline, wood, and batteries.

Forms of energy

Forms of energy with examples
FormWhat it isExample
ThermalThe motion of the tiny particles in a substance; we feel it as heatA hot cup of cocoa
Light (radiant)Energy that travels as light and other electromagnetic wavesSunlight, a flashlight
SoundVibrations moving through air, water, or solidsA drum, a voice
ElectricalEnergy carried by moving electric chargesLightning, current in a wire
NuclearEnergy stored in the centers (nuclei) of atomsThe Sun, nuclear power plants
ChemicalEnergy stored in chemical bondsFood, batteries, fuel

Energy transformations and conservation

Energy constantly changes from one form to another. That's called an energy transformation. A toaster turns electrical energy into thermal energy. Your muscles turn chemical energy from food into kinetic energy.

The law of conservation of energy says energy cannot be created or destroyed. It can only change form or move from one object to another. If you add up all the energy before and after, the total is the same.

Follow the energy: Sunlight (light) → grows wheat (chemical) → you eat toast (chemical) → you pedal a bike (kinetic) → brakes get warm (thermal).

Work, KE and PE: the math

Work

Work is force times distance

W = F × d

In science, work is done when a force moves something. Work is measured in joules, because doing work transfers energy. If the object doesn't move, no work is done, no matter how hard you push.

Worked example: You push a wagon with 10 N for 3 m. W = 10 N × 3 m = 30 J.

Worked example: You lift a 20 N backpack 1.5 m onto a shelf. W = 20 N × 1.5 m = 30 J.

Kinetic energy

KE = ½ × mass × speed²

KE = ½ m v²

Mass (m) is in kilograms and speed (v) in meters per second. Because speed is squared, doubling the speed makes the kinetic energy four times bigger. That's why fast cars need so much more distance to stop.

Worked example: A 2 kg ball rolls at 3 m/s. KE = ½ × 2 kg × (3 m/s)² = ½ × 2 × 9 = 9 J.

Gravitational potential energy

PE = mass × gravity × height

PE = m g h

Near Earth's surface, g is about 9.8 m/s². Height (h) is in meters.

Worked example: A 2 kg rock sits on a 5 m ledge. PE = 2 kg × 9.8 m/s² × 5 m = 98 J. If it falls, that 98 J turns into kinetic energy (minus a little lost to air resistance).

Efficiency and "wasted" heat

No machine turns all of its energy into the form we want. Some always ends up as thermal energy, usually from friction. We call it "wasted" because it isn't useful, but it isn't destroyed; it just spreads out into the surroundings.

Efficiency is how much of the energy put in comes out as useful energy:

efficiency = useful energy out ÷ total energy in × 100%

Worked example (made-up numbers): Imagine a bulb that uses 100 J of electrical energy and gives out 20 J of light. Its efficiency is 20 ÷ 100 × 100% = 20%. The other 80 J becomes heat. (Real old-style incandescent bulbs turn only about 5% into light; LEDs waste much less.)

Everyday energy

  • Roller coasters: a motor does work to pull the car up the first hill, giving it potential energy. On the way down, potential energy becomes kinetic energy. Each later hill is usually lower, because some energy turns into heat and sound.
  • Bikes: your legs turn chemical energy into kinetic energy. Coasting downhill, gravity adds more. Squeezing the brakes turns kinetic energy into heat in the brake pads.
  • Food Calories: the Calories on a food label measure chemical energy. One food Calorie (a kilocalorie) is about 4,184 joules. Nutrition labels use 2,000 Calories a day as a general guide.
  • Phone batteries: charging stores electrical energy as chemical energy. Using the phone turns it back into electrical energy, then into light, sound, and a little heat. That's why a phone gets warm.

Try it: the roller coaster slider

Set the hill's height and the car's mass. The tool works out the potential energy at the top (PE = m g h), and the speed at the bottom if no energy were lost to friction (all PE becomes KE).

PE at top = 98,000 J · speed at bottom ≈ 19.8 m/s

At the top: PE 100%, KE 0%. The total stays the same all the way down.

Notice: the mass changes the energy, but not the speed at the bottom.

Experiments to try at home

Ask an adult before you start. Work on the floor, away from breakable things, and keep anything that bounces, rolls or stretches away from people's eyes.

Quick quiz

1. What unit do scientists use to measure energy?

2. A stretched rubber band mostly stores which kind of energy?

3. You push a box with 20 N for 5 m. How much work do you do?

4. Where does a roller coaster car have the most kinetic energy?

5. When a bike's brakes stop the bike, where does its kinetic energy go?

6. A 2 kg ball moves at 3 m/s. What is its kinetic energy?

Talk about it

  • Pick one thing you did this morning. Trace its energy back as far as you can. Does it lead to the Sun?
  • If energy is never destroyed, why do people talk about "running out of energy" or "saving energy"?
  • Why might a roller coaster designer make each hill lower than the one before it?

Sources

Credits: All illustrations on this page are original, hand-coded SVG by Galileo. The share image was drawn in code.