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Learn what energy means in physics, how energy relates to work, joules, power, and how to read kWh in everyday electricity use.

---

## Energy Shows Up as Change

When a lamp turns on, water boils, a bicycle moves, or a phone charges, energy is being transferred or transformed. In physics, **energy** is the ability to do work or cause change.

That definition matters because energy is not always visible as an object. We read energy from its effects: an object moves, temperature changes, light appears, sound is produced, or electric charge flows.

```math
\text{energy} \rightarrow \text{ability to do work or cause change}
```

This explanation follows the definition used by the U.S. Energy Information Administration (EIA). You can open EIA's Energy Explained page about energy through [this source link](https://www.eia.gov/energyexplained/what-is-energy/).

## Work as a Way to Measure Energy

Energy is often calculated through **work**. In physics, work happens when a force causes displacement in the direction of that force.

```math
W = F \Delta s
```

From here on, we use the International System of Units (SI) so force, displacement, and energy use one consistent unit system.

Symbol guide:

| Symbol | Meaning | SI unit |
| :----- | :------ | :------ |
| $$W$$ | work or transferred energy | $$\text{J}$$ |
| $$F$$ | force | $$\text{N}$$ |
| $$\Delta s$$ | displacement | $$\text{m}$$ |

Visible text: | Symbol | Meaning | SI unit |
| :----- | :------ | :------ |
| | work or transferred energy | |
| | force | |
| | displacement | |

Suppose you push a box with a force of $$15 \text{ N}$$ until it moves $$2 \text{ m}$$. The energy transferred to the box through work is:

Visible text: Suppose you push a box with a force of until it moves . The energy transferred to the box through work is:

```math
\begin{aligned}
W &= F \Delta s \\
&= 15 \text{ N} \times 2 \text{ m} \\
&= 30 \text{ J}
\end{aligned}
```

So, the box receives $$30 \text{ J}$$ of energy through that push.

Visible text: So, the box receives of energy through that push.

> If a force is applied but the object does not move, the mechanical work on the object is $$0 \text{ J}$$. The person pushing may still feel tired, but that energy does not become mechanical work on the object that stays still.

Visible text: > If a force is applied but the object does not move, the mechanical work on the object is . The person pushing may still feel tired, but that energy does not become mechanical work on the object that stays still.

## Joule Is More Than a Unit Name

In SI, the unit for energy is the joule, with symbol $$\text{J}$$. Because energy can be calculated from force times displacement, a joule can be read as:

Visible text: In SI, the unit for energy is the joule, with symbol . Because energy can be calculated from force times displacement, a joule can be read as:

```math
\begin{aligned}
1 \text{ J}
&= 1 \text{ N} \cdot 1 \text{ m} \\
&= 1 \text{ kg m}^2\text{s}^{-2}
\end{aligned}
```

The National Institute of Standards and Technology (NIST) lists the joule as an SI derived unit for energy, work, and heat. NIST SP $$330$$ section $$2$$ can be opened through the [SI reference](https://www.nist.gov/pml/special-publication-330/sp-330-section-2), while the NIST joule glossary can be opened through the [joule reference](https://www.nist.gov/glossary-term/26261).

Visible text: The National Institute of Standards and Technology (NIST) lists the joule as an SI derived unit for energy, work, and heat. NIST SP section can be opened through the [SI reference](https://www.nist.gov/pml/special-publication-330/sp-330-section-2), while the NIST joule glossary can be opened through the [joule reference](https://www.nist.gov/glossary-term/26261).

## Energy Trails Around Us

Energy moves from a source into a device, then changes into the form we need.

Component: Mermaid
Props:
- title: Follow Energy from Source to Use
- description: Follow everyday examples to see energy changing form and place instead of simply disappearing.
```mermaid
flowchart TD
  A["Energy around us"] --> B["Sunlight to panel"]
  B --> C["Electricity for lamp"]
  A --> D["High water to turbine"]
  D --> C
  A --> E["Food to body"]
  E --> F["Muscles move"]
```

The diagram shows a pattern, not every technical detail. In a solar panel, light energy changes into electrical energy. In hydropower, gravitational potential energy of water changes into turbine motion, then into electrical energy. In the body, chemical energy from food helps muscles do work.

## Power and Energy Are Easy to Mix Up

Energy answers the question *how much capacity to do work is used*. Power answers the question *how quickly energy is used or transferred*.

```math
P = \frac{E}{t}
```

From that equation, energy can be written as:

```math
E = P t
```

The unit of power is the watt, with symbol $$\text{W}$$. One watt means $$1 \text{ J}$$ per $$1 \text{ s}$$.

Visible text: The unit of power is the watt, with symbol . One watt means per .

```math
1 \text{ W} = 1 \text{ J/s}
```

Watch the symbol context: italic $$W$$ usually means work, while upright $$\text{W}$$ means the unit watt.

Visible text: Watch the symbol context: italic usually means work, while upright means the unit watt.

That is why electricity bills use $$\text{kWh}$$, or kilowatt-hour. Even though the unit contains watt, $$\text{kWh}$$ is a unit of energy, not power.

Visible text: That is why electricity bills use , or kilowatt-hour. Even though the unit contains watt, is a unit of energy, not power.

```math
\begin{aligned}
1 \text{ kWh}
&= 1000 \text{ W} \times 1 \text{ h} \\
&= 1000 \text{ J/s} \times 3600 \text{ s} \\
&= 3.6 \times 10^6 \text{ J}
\end{aligned}
```

A $$10 \text{ W}$$ lamp that stays on for $$5 \text{ h}$$ uses:

Visible text: A lamp that stays on for uses:

```math
\begin{aligned}
E &= P t \\
&= 10 \text{ W} \times 5 \text{ h} \\
&= 50 \text{ Wh} \\
&= 0.05 \text{ kWh}
\end{aligned}
```

If the same lamp stays on longer, its energy use increases. If the power is higher, the energy use also increases for the same duration.

## Why This Leads to Renewable Energy

Renewable energy is not just a list of energy sources. Its foundation is a more basic physics question: where does the energy come from, what does it become, and how much of it is actually useful?

| Situation | Physics question |
| :-------- | :--------------- |
| Solar panels are installed on a roof | How much light energy becomes electrical energy? |
| Flowing water turns a turbine | How much water motion energy can be transferred to a generator? |
| Home lamps turn on every night | How much electrical energy is used in $$\text{kWh}$$? |
| Fuel burns inside an engine | How much chemical energy becomes motion and heat? |

Visible text: | Situation | Physics question |
| :-------- | :--------------- |
| Solar panels are installed on a roof | How much light energy becomes electrical energy? |
| Flowing water turns a turbine | How much water motion energy can be transferred to a generator? |
| Home lamps turn on every night | How much electrical energy is used in ? |
| Fuel burns inside an engine | How much chemical energy becomes motion and heat? |

An energy source is called **renewable** when it can be replenished naturally on a human timescale, such as sunlight, wind, flowing water, geothermal heat, and properly managed biomass. An energy source is called **non-renewable** when it forms much more slowly than it is used, such as coal, oil, and natural gas. The classification reference comes from the U.S. Energy Information Administration (EIA), on EIA's Renewable Energy Explained page through [this source link](https://www.eia.gov/energyexplained/renewable-sources/).

The International Energy Agency (IEA) reported that global renewable capacity additions reached nearly $$510 \text{ GW}$$, or $$510$$ gigawatts, in $$2023$$. You do not need to memorize that number here, but it shows why energy, power, and energy transformation matter when discussing the future of electricity. The number comes from IEA's Renewables $$2023$$ report through [this source link](https://www.iea.org/reports/renewables-2023/executive-summary).

Visible text: The International Energy Agency (IEA) reported that global renewable capacity additions reached nearly , or gigawatts, in . You do not need to memorize that number here, but it shows why energy, power, and energy transformation matter when discussing the future of electricity. The number comes from IEA's Renewables report through [this source link](https://www.iea.org/reports/renewables-2023/executive-summary).

These ideas give the basic language for forms of energy, conservation of energy, energy transformation, and why energy demand should be met with cleaner sources.