Energy Transferred = Power × Time (E = Pt)

✏️ Paper first! Work out every question on paper before you tap Show solution. Write down every step – the equation, the numbers with units, the rearranging and the answer with its unit. In the exam, if your final answer is wrong you can still get marks for correct working, but only if the examiner can see it.

Course: Combined Science + Separate Physics  |  Tier: Foundation + Higher  |  Equation sheet: given in the exam

The equation

energy transferred = power × time    E = P t

QuantitySymbolUnit
energy transferredEjoules (J)
powerPwatts (W)
timetseconds (s)

Rearranged: P = E ÷ t  |  t = E ÷ P

Use FIFA for every answer

  • F – Formula: write the equation as it appears on the sheet.
  • I – Insert: put in the numbers (convert to standard units first).
  • F – Fix: rearrange to make the unknown the subject.
  • A – Answer: calculate and always give the unit.

Foundation: aim for Q1–8.   Higher: aim for Q4–10. Most questions need rearranging.


Questions

Q1 (F) A 60 W TV is on for 100 s. Calculate the energy transferred.

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F: E = P t
I: E = 60 × 100
F: E is already the subject
A: 6000 J

Q2 (F) A hairdryer transfers 90 000 J in 60 s. Calculate its power.

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F: E = P t
I: 90 000 = P × 60
F: P = 90 000 ÷ 60
A: 1500 W

Q3 (F) A 2000 W kettle transfers 240 000 J. How long is it on?

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F: E = P t
I: 240 000 = 2000 × t
F: t = 240 000 ÷ 2000
A: 120 s

Q4 (F) A 9 kW electric shower transfers 4.32 MJ. How many minutes is it on?

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Convert first: 9 kW = 9000 W; 4.32 MJ = 4 320 000 J
F: E = P t
I: 4 320 000 = 9000 × t
F: t = 4 320 000 ÷ 9000 = 480 s
A: 8 minutes

Q5 (F) A 400 W games console transfers 1.44 MJ. How many hours is it used for?

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Convert first: 1.44 MJ = 1 440 000 J
F: E = P t
I: 1 440 000 = 400 × t
F: t = 1 440 000 ÷ 400 = 3600 s
A: 1 hour

Q6 (F/H) A TV on standby uses 0.5 W. How much energy does it transfer in 24 hours? Give your answer in kJ.

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Convert first: 24 hours = 24 × 3600 = 86 400 s
F: E = P t
I: E = 0.5 × 86 400
F: E = 43 200 J
A: 43.2 kJ

Q7 (F/H) An electric oven transfers 7.2 MJ in 40 minutes. Calculate its power in kW.

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Convert first: 7.2 MJ = 7 200 000 J; 40 minutes = 2400 s
F: E = P t
I: 7 200 000 = P × 2400
F: P = 7 200 000 ÷ 2400 = 3000 W
A: 3 kW

Q8 (F/H) A 3.0 × 106 W wind turbine runs for one day (8.64 × 104 s). Calculate the energy it generates, to 2 significant figures.

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F: E = P t
I: E = 3.0 × 106 × 8.64 × 104
F: E = 2.592 × 1011 J
A: 2.6 × 1011 J (2 s.f.)

Q9 (H) A heater on the 230 V mains draws 8.0 A for 15 minutes. Calculate the energy transferred in MJ.

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Step 1 – power: P = V I = 230 × 8.0 = 1840 W
Step 2 – energy (15 minutes = 900 s)
F: E = P t
I: E = 1840 × 900
F: E = 1 656 000 J
A: 1.656 MJ (≈ 1.66 MJ)

Q10 (H) A 3.0 kW immersion heater warms 150 kg of water by 40 °C. Assuming no energy is wasted, how many minutes does it take? (c = 4200 J/kg °C)

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Step 1 – energy needed: ΔE = m c Δθ = 150 × 4200 × 40 = 25 200 000 J
Step 2 – time
F: E = P t
I: 25 200 000 = 3000 × t
F: t = 25 200 000 ÷ 3000 = 8400 s
A: 8400 ÷ 60 = 140 minutes