P4.10

Energy and power

Indicative relationship: Activate 2 · Energy
KS3 science lesson

Energy and power

Lesson focus: measures the of transfer, so devices can transfer the same energy in different times.

Learning objective

Calculate power, energy and time using consistent SI units.

Build on earlier learning

Energy dissipation

Efficiency described a fraction of energy; power now describes the rate of transfer.

You will be successful when you can…

  • Define power.
  • Use P = E ÷ t.
  • Convert minutes and kilojoules.
  • Distinguish power from energy.
KEY VOCABULARY

Words that carry the science

power
Rate of energy transfer or rate of doing work.
watt
One joule transferred per second.
kilowatt
One thousand watts.
energy
A conserved quantity measured in joules.
rate
Change in a quantity per unit time.
BUILD YOUR UNDERSTANDING

Power is energy per second

01Power is energy per second

= transferred ÷ time. One equals one joule per second.

A high-power device transfers energy rapidly. It does not necessarily transfer more energy overall because operating time also matters.

02Units must be compatible

Use joules, seconds and watts unless deliberately working in another consistent set. Convert kilojoules to joules and minutes to seconds.

Rearrange to energy = power × time or time = energy ÷ power. Include units at every stage.

03Same work can have different power

Two people climbing the same stairs can increase gravitational stores by the same amount. The person taking less time has the greater average power.

Instantaneous power can vary during a movement; a whole-task calculation gives average power.

Two people raise identical loads through the same height. One takes four seconds and one takes ten seconds, so the same 200 joules corresponds to different powers.200 J in 4 s200 J in 10 s50 W20 W
Figure · Same energy in less time means greater average power. One watt is one joule transferred each second.
Interactive model

Energy and power

Power is how quickly energy is transferred. 1 watt (W) is 1 joule per second. Energy transferred (J) = power (W) × time (s). Bills use kilowatt-hours: 1 kWh is a 1000 W appliance running for an hour.

Kettle3000 WEnergy meter0 kJ0.0 of 5 minThe meter disc spins faster for a more powerful appliance

Controls

Appliance
5 min
Energy transferred3000 W × 300 s = 900000 J
In kilowatt-hours0.250 kWh
Cost (illustrative price)6.3p at 25p per kWh

Power ratings are typical values. Cost = energy (kWh) × price per kWh.

A straight line through the origin: energy increases steadily with time; a steeper line means more power.01234502004006008001000900 kJTime / minutesEnergy / kJ
WORKED EXAMPLE

Calculate kettle power

A kettle transfers 108 kJ in 60 s.

  1. Convert 108 kJ to 108,000 J.
  2. Use P = E ÷ t.
  3. Calculate 108,000 ÷ 60 = 1,800.
  4. State power = 1,800 W or 1.8 kW.

How to make the reasoning visible: The kettle transfers energy at an average of 1.8 kJ each second.

LEARN BY DOING

Compare transfer rates

Convert units before calculating.

DeviceEnergyTimePower
lamp7200 J120 s?
motor45 kJ30 s?
heater360 kJ180 s?
phone18 kJ3600 s?
  1. Calculate all four powers.

  2. Which transfers most energy and which has highest power?

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

Power equation?

One watt equals?

Unit of energy?

Apply the idea

Two motors each transfer 12 kJ. One takes 8 s and one 20 s. Which is more powerful?

Stretch and challenge

Why can a low-power appliance use more energy than a high-power one?

Exam Question Practice

P4.10Calculate5 marks

Exam Question Practice

Mark points shown after marking

A 1.5 kW pump runs for 4 minutes.

Calculate the energy transferred, in joules. Show your working.

(5)
J

Total for this question: 5 marks

Command word: Unit conversions earn the calculation; write them before substituting.

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