IGCSE 0625 / Section 1.7 / Core

Energy, but how fast.

Two motors can lift the same crate to the same shelf, transferring the same energy, yet one finishes in a second and the other takes a minute. The difference is power: not how much energy is moved, but how quickly it is moved.

The key idea

Power is the rate of doing work, or the rate of transferring energy: P = W ÷ t = ΔE ÷ t. It is measured in watts (W), where one watt is one joule per second.

Definition · learn the exact words

Power is the work done, or energy transferred, per unit time.

P = W / t = ΔE / t  (unit: watt, W)

One watt is one joule per second.

Section 01

Same job, different speed.

Set the energy to transfer and the time taken, then run it. The power readout shows how the same energy delivered in less time means a higher power.

Stage 1 · Learn

Check power

Four quick checks on the definition, equation and unit of power. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

Power is defined as the...

Quick check+10 XP

Power is calculated using the equation...

Quick check+10 XP

Power is measured in...

Quick check+10 XP

One watt is equal to...

Section 02

Rate, not amount.

The defining equation and its rearrangement for energy:

P = W ÷ t = ΔE ÷ t  (energy in J, time in s, power in W)
E = P × t
Worked example

A pump does 24000 J of work in 40 s. Find its power output.

Step 1 · Write the equationP = W ÷ t
Step 2 · SubstituteP = 24000 ÷ 40
Step 3 · AnswerP = 600 W
Examiner trap

Power is not the same as energy. Energy, in joules, is the amount transferred; power, in watts, is how quickly it is transferred. Two machines can transfer exactly the same energy while having very different powers, simply because one takes longer than the other. Always divide the energy by the time.

Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 2.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

A motor transfers 600 J of energy in 30 s. Its power is...

Exam style+20 XP

A 1500 W heater runs for 60 s. The energy it transfers is...

Exam style+20 XP

Two cranes lift identical loads to the same height. Crane A takes 10 s, crane B takes 20 s. Compared with crane B, crane A...

Skill unlocked

Power, mastered.

This skill is now lit gold on your star map. Keep the chain going.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
The P = W/t relationship, its unit, rearranging for energy or time, and the difference between power and energy. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Motion, forces and energy challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just power.
Start the unit challenge →