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Last update: 2025-07-20
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Crash report

Conservation of energy

Conservation of energy

2025-07-20
13
Crash report
  • Unit 1: Particles & Pressure
  • Unit 2: Forces & Motion
  • Unit 3: Energy & Heat
  • Unit 4: Electricity
  • Unit 5: Magnetism & Electromagnetism
  • Unit 6: Waves: Sound & Light
  • Unit 7: Scientific Investigations

In this topic you will:

  • learn that energy cannot be created or destroyed
  • understand that because energy is conserved, there is no increase or decrease in energy
  • understand that thermal energy is dissipated from hotter places to colder places.
  • discover that thermal energy always transfers from hotter places to colder places
  • understand what is meant by heat dissipation.
 

Key words

  • conserved
  • created
  • destroyed
  • system
  • colder
  • hotter
 

Energy is conserved

People often talk about conserving energy when they mean using less energy. For example, you switch off a lamp when you leave the room.

In physics, saying that energy is conserved means something different from saying less energy is being used.

When we say that energy is conserved, we mean that the total quantity of energy stays the same. This happens when energy is stored, changed, transferred or even dissipated.

Look at the energy diagram for an electric lamp (extension material).

Energy input of 100 J results in 10 J light energy and 90 J thermal energy.

The energy diagram shows that every time 100 J of electrical energy is supplied to the lamp, 10 J of this is changed to light energy and 90 J is changed to thermal energy. The light energy is useful and the thermal energy is wasted.

The electrical energy is called the energy input and the light and thermal energy together are called the energy output.

The total energy input of 100 J is the same as the total energy output of 10 J + 90 J = 100 J.

This shows how energy is conserved in an electric lamp.

The energy diagram for the engine in a car has more energy outputs (extension material).

Energy output from car engine shown as percentages of the chemical energy in fuel.

In the energy diagram for a car engine, the energy input and outputs are shown as percentages. Notice that the energy input is 100% and the total energy output adds up to 100%. Once again, energy is conserved.

Important Concept: System

In physics, a system is a part of the universe that is chosen for study. It could be a single object or a group of interacting objects, and we analyze the energy transfers in and out of this system.

In these examples, the electric lamp and the car engine are types of system. In physics, a system is something that has been chosen to be studied, especially in terms of energy changes.

The total energy output can never be greater than the total energy input in any type of system. This is because energy cannot be created. Created means to make something, or to bring something into existence.

Common Mistake

Students often think energy is “lost” in a system. In reality, energy is not lost—it is usually transferred to the surroundings, often as thermal energy, and becomes less useful but still conserved.

Check your understanding:
If a system receives 200 J of energy and gives out 60 J as useful energy, how much energy is dissipated?
Show Answer

200 J (input) – 60 J (useful output) = 140 J of energy is dissipated, usually as heat to the surroundings.

 

Wasted energy, such as thermal energy, is dissipated. Dissipated means this energy spreads out into the surroundings and becomes less useful.

Important Concept: Dissipated Energy

Dissipated energy is energy that has spread out and is no longer useful for doing work. It often becomes thermal energy transferred to the surroundings.

Although this energy is dissipated, it is not destroyed. Destroyed is the opposite of created. Destroyed means to damage something or to end its existence.

Common Mistake

Students often think that energy is “gone” when it is dissipated. In reality, the energy still exists—it has simply spread out and can no longer do useful work. It is not destroyed.

The law of conservation of energy states that energy cannot be created or destroyed, only changed or transferred.

 

Questions

1a. Write down the law of conservation of energy.
Show Answer

Energy cannot be created or destroyed, only transferred or changed from one form to another.

1b. Decide whether each of these statements is true or false:
i. The total energy input to a mobile phone is greater than the total energy output.
Show Answer

False. The total energy input equals the total energy output; some of the output may be wasted or dissipated, but not lost.

ii. The total energy output of a washing machine is greater than the total energy input.
Show Answer

False. According to the law of conservation of energy, output cannot exceed input.

iii. The total energy input to a wood fire is equal to the total energy output.
Show Answer

True. The total input energy is equal to the total output, even if some is wasted or dissipated.

2.(Extension question) For each of these energy diagrams, calculate the missing energy value, X.
2a. An electric motor
Electric motor diagram: 1000J input → 500J kinetic, XJ thermal
Show Answer

Input = 1000 J. Kinetic = 500 J → X = 500 J thermal.

2b. A television
Television diagram: 100J input → 80J light/sound, XJ thermal
Show Answer

Input = 100 J. Light/sound = 80 J → X = 20 J thermal.

2c. A bus engine
Bus engine diagram: XJ chemical → 700J kinetic, 1300J thermal/sound
Show Answer

700 J + 1300 J = 2000 J chemical input → X = 2000 J.

3a. In a wood fire, 70% of the chemical energy in wood is changed to thermal energy. The remaining energy is changed to light and waste chemicals.
Calculate the percentage of the chemical energy that is changed to light and waste chemicals.
Show Answer

100% − 70% = 30% of the chemical energy is changed to light and waste chemicals.

3b. In an oil-burning power station, 55% of the chemical energy is changed to thermal energy and 10% is used in the power station. The remainder is changed to electrical energy.
Calculate the percentage of the chemical energy changed to electrical energy.
Show Answer

100% − 55% − 10% = 35% changed to electrical energy.

4. Sofia has an LED flashlight that uses 18 J of electrical energy. 7 J is wasted as thermal energy. Sofia says that 12 J of the electrical energy is changed to light.
Explain whether Sofia is correct.
Show Answer

Yes, Sofia is correct. 18 J total – 7 J thermal = 11 J remaining, but she says 12 J becomes light. Since 12 J > 11 J, her answer is incorrect. She overestimated the useful energy.

 

Bridging Concept: From Energy Conservation to Heat Transfer

So far, you've learned that energy is always conserved—it cannot be created or destroyed, only transferred or changed. You've also explored how energy can be dissipated into the surroundings, often as thermal energy (heat).

But when energy is transferred as heat, where does it go? Why does a hot object cool down over time? Why does your hand feel warm near a fire?

To answer these questions, we now turn to how thermal energy moves—from one place to another. In particular, you'll explore how energy always flows from hot to cold until balance is reached.

Let’s take a closer look at what happens when objects of different temperatures interact…

 

Feeling heat

When you put your hands around a hot drink, you can feel heat in your hands. This will only happen if the drink is hotter than your hands. Hotter means at a higher temperature.

Thermal energy moves from the drink, through the container and into your hands.

Thermal energy moves from the hotter drink to your colder hands.

Thermal energy always moves from hotter places to colder places. Colder means at a lower temperature.

We make use of this in many ways:

When you put food into a refrigerator, thermal energy transfers out of the food, and the food becomes colder.
There is water inside a car engine to remove thermal energy from the metal engine parts. This stops the engine overheating.
Animals sometimes go in water to cool down. Thermal energy moves from the animal’s body into the colder water.

When thermal energy is removed from a hot object, we say that the thermal energy has dissipated.

 

Feeling cold

Imagine you are holding ice. The ice feels cold.

It is easy to think that the cold from the ice moves into your hand, but that does not happen. Cold is not an energy store and cold cannot move. Cold means there is less thermal energy.

When you hold the ice, thermal energy transfers away from your hand and into the ice. You feel cold because thermal energy has been transferred away from your hands. You can damage your skin by holding ice for too long, as your skin needs the correct quantity of thermal energy to function.

Diagram of thermal energy moving from hand to colder object.
Hand holding melting ice.

When it is colder outside and you open a window, the inside cools down. This is because thermal energy from the hotter inside moves to the colder outside. Cold air may enter the room, but thermal energy from the warmer air is still transferred to the colder air. 

Cold outdoor air near a window.

 

 

Dissipation

You met the word dissipation in Stage 7. Dissipation is used to describe energy that spreads out and becomes less useful.

When thermal energy moves from a hotter place to a colder place, we say that thermal energy has dissipated from the hotter place.

The rate, or speed, of thermal energy transfer increases when the temperature difference between the hot place and the cold place increases.

Remember that energy is always conserved, so the thermal energy has not disappeared or been destroyed, it has just spread out and moved to a colder place.

Some scientists think that, billions of years in the future, all the thermal energy in the universe will have dissipated. At that time, everything in the universe will be at the same low temperature and no more energy changes or transfers will be possible.

 

Questions

1. Copy and complete the sentence using the best words.
Thermal energy moves from ............... places to ............... places.
Show Answer

Thermal energy moves from hotter places to colder places.

2. Marcus buys hot food and takes the food home.
a. What will happen to the temperature of the hot food on the way home?
Show Answer

The temperature of the hot food will decrease as it loses heat to the cooler surroundings.

b. Explain your answer using the words thermal energy.
Show Answer

Thermal energy is transferred from the hot food to the cooler air around it, so the food gets cooler.

3. Arun takes ice cream out of the freezer. The temperature of the ice cream is –18 °C when he first takes it from the freezer. The temperature of the air in the room is 22 °C.
Explain what will happen to the temperature of the ice cream.
Show Answer

Thermal energy will transfer from the warmer air to the colder ice cream, causing its temperature to rise and the ice cream to melt over time.

4. Sofia and Zara visit an indoor ski slope. The temperature of the air at the indoor ski slope is –2 °C. Both girls wear gloves.
Q4

 

Explain whether Sofia or Zara is correct.
Show Answer

Zara is correct. Cold does not move into the body. Gloves reduce heat loss by stopping thermal energy from escaping your hands to the colder air.

5. This diagram shows a car engine. 
A car engine

 

a. Explain how the water keeps the engine from getting too hot.
Show Answer

The water absorbs thermal energy from the engine parts and carries it away, helping prevent the engine from overheating.

b. Explain what happens to the thermal energy in the water as it passes through the radiator.
Show Answer

The water transfers thermal energy to the air outside the radiator. The water cools as it flows through the radiator.

 

Think Like a Scientist

You will measure the temperature change in water caused by heat dissipation from a lamp. This is now an individual investigation.

You will need:
• 2 V or 6 V lamp
• Lamp holder
• Cells
• Wires and connectors
• 50 cm³ (or smaller) beaker
• Water
• Thermometer
• Timer
Safety:
• This experiment must be carried out in a school laboratory.
• Ensure that only the glass part of the lamp is in the water.
Never put a lamp in water at home.
Step 1. Set up the apparatus as shown in the diagram.
Step 2. Use as small a volume of water as possible.
Step 3. Ensure that only the glass part of the lamp is in the water.
Step 4. Record the temperature of the water.
Step 5. Switch on the lamp.
Step 6. Record the water temperature every minute.
Step 7. Continue recording until the temperature stops changing.

 

Questions:
1. Record your results in a table.
Show Answer

Create a results table showing time in minutes and temperature in °C.

2. Plot a line graph of your results.
Show Answer

Plot time on the x-axis and temperature on the y-axis to show how the water heated over time.

3. Explain the initial temperature change in the water.
Show Answer

The lamp emits thermal energy, which is transferred to the water, causing its temperature to rise quickly at first.

4. Why does the temperature stop increasing eventually?
Show Answer

The system reaches thermal equilibrium where the energy input equals energy loss to surroundings.

5. Predict what would happen if you used an LED instead of a lamp.
Show Answer

LEDs convert more energy to light and less to heat. The water would heat more slowly or not at all.

Self-assessment:
Reflect on the following:
  • Did I take measurements at the correct time?
  • Did I record results clearly in a table?
  • Did my graph show the temperature trend accurately?
Choose one thing to improve for next time and describe what you will do differently.