P4.2

Energy adds up

Indicative relationship: Activate 2 · Energy
KS3 science lesson

Energy adds up

Lesson focus: Energy is conserved in a closed even when it spreads into less useful stores.

Learning objective

Construct energy accounts and interpret proportional .

Build on earlier learning

Food and fuels

Calorimetry showed that energy missing from the water reached other parts of the surroundings.

You will be successful when you can…

  • State conservation of energy.
  • Identify stores and pathways.
  • Balance an energy account.
  • Read and check a Sankey diagram.
KEY VOCABULARY

Words that carry the science

system
The object or group of objects chosen for an energy analysis.
energy store
A way energy is held in a system, such as chemical, kinetic or thermal.
transfer pathway
A process transferring energy, such as mechanically, electrically, by heating or by radiation.
conservation of energy
Total energy in a closed system remains constant.
Sankey diagram
A diagram whose arrow widths represent energy quantities.
BUILD YOUR UNDERSTANDING

Choose the system before accounting

01Choose the system before accounting

An energy account begins by defining the . A torch might include the battery, lamp and nearby surroundings.

Stores describe where energy is accounted for. Pathways describe how energy moves between stores: mechanically, electrically, by heating or by radiation.

02Total energy remains constant

Energy cannot be created or destroyed. For a closed system, total energy before equals total energy after.

Energy that seems “lost” has usually spread into thermal stores of the surroundings where it is harder to use for the intended purpose.

03Sankey arrows show quantities

The input arrow splits into useful and dissipated outputs. Their widths must be proportional, and output values must add to the input.

The useful output depends on purpose. Heating from a lamp is usually unwanted, while heating from a kettle is the intended transfer.

A 100 joule input arrow splits into an 18 joule useful radiation arrow and an 82 joule dissipated heating arrow. Output widths add to the input width.100 J input18 J useful82 J dissipated18 J + 82 J = 100 J
Figure · Sankey arrow widths represent quantities. Useful plus dissipated output equals the input when the system account is complete.
Interactive model

Energy stores of a bouncing ball

As the ball falls, energy is transferred from its gravitational store to its kinetic store. Each bounce transfers some to the thermal store of the ball and surroundings. The total never changes.

0.0 m0.5 m1.0 m1.5 m2.0 mgrav.kine.ther.total 9.8 J0.0 s

Controls

2.0 m
0.5 kg
Ball
Gravitational store (mgh)9.80 J
Kinetic store (½mv²)0.00 J
Thermal store (and sound)0.00 J
Total9.80 J

Air resistance is ignored. The share of energy kept at each bounce is illustrative.

WORKED EXAMPLE

Balance a lamp account

A lamp receives 100 J electrically and transfers 18 J usefully by visible radiation.

  1. Define the lamp and surroundings as the system.
  2. Input = 100 J.
  3. Dissipated output = 100 − 18 = 82 J.
  4. Draw output arrows in an 18:82 width ratio.

How to make the reasoning visible: 100 J enters the account and 100 J leaves the device into useful and dissipated pathways.

LEARN BY DOING

Complete energy accounts

Every row must balance.

DeviceInput / JUseful / JDissipated / J
lamp10018?
motor500360?
kettle2400?300
speaker8012?
  1. Complete the missing quantities.

  2. Why can the same heating transfer be useful in one device and dissipated in another?

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

What is conserved?

What does arrow width represent?

Name one transfer pathway.

Apply the idea

A motor receives 250 J and raises a load by 175 J. Account for the rest.

Stretch and challenge

Why does “energy was wasted” need further explanation?

Exam Question Practice

P4.2Explain4 marks

Exam Question Practice

Mark points shown after marking

A device receives 600 J of energy but transfers only 420 J usefully.

(a)

Calculate the energy that is not transferred usefully. Explain why it is not destroyed.

(2)
(b)

Where does this energy go? Explain what “dissipated” means.

(2)

Total for this question: 4 marks

Command word: For , balance the numbers and connect the remainder to real stores or pathways.

Tick when you have worked through it. It shows on My progress and is saved on this device only.