Power = Energy Transferred ÷ Time (P = E/t)

✏️ 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

power = energy transferred ÷ time    P = E / t

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

Rearranged: E = P × t  |  t = E ÷ P  |  1 kW = 1000 W

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 desk lamp transfers 1200 J of energy in 60 s. Calculate its power.

Show solution

F: P = E / t
I: P = 1200 ÷ 60
F: P is already the subject
A: 20 W

Q2 (F) A 1500 W hairdryer is used for 120 s. Calculate the energy transferred.

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F: P = E / t
I: 1500 = E ÷ 120
F: E = 1500 × 120
A: 180 000 J

Q3 (F) A 2000 W kettle transfers 360 000 J. How long is it switched on?

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F: P = E / t
I: 2000 = 360 000 ÷ t
F: t = 360 000 ÷ 2000
A: 180 s

Q4 (F) A 3 kW fan heater runs for 10 minutes. Calculate the energy transferred in MJ.

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Convert first: 3 kW = 3000 W; 10 minutes = 600 s
F: P = E / t
I: 3000 = E ÷ 600
F: E = 3000 × 600 = 1 800 000 J
A: 1.8 MJ

Q5 (F) An 800 W microwave transfers 240 kJ to heat a meal. How many minutes does it take?

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Convert first: 240 kJ = 240 000 J
F: P = E / t
I: 800 = 240 000 ÷ t
F: t = 240 000 ÷ 800 = 300 s
A: 5 minutes

Q6 (F/H) A 5 W phone charger needs to transfer 36 kJ to fully charge a phone. How many hours does it take?

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Convert first: 36 kJ = 36 000 J
F: P = E / t
I: 5 = 36 000 ÷ t
F: t = 36 000 ÷ 5 = 7200 s
A: 7200 ÷ 3600 = 2 hours

Q7 (F/H) Four 8 W LED bulbs are left on for 5 hours. Calculate the total energy transferred in kJ.

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Convert first: total power = 4 × 8 = 32 W; 5 hours = 18 000 s
F: P = E / t
I: 32 = E ÷ 18 000
F: E = 32 × 18 000 = 576 000 J
A: 576 kJ

Q8 (F/H) A power station generates 2.0 × 109 W. How much energy does it transfer in one day (8.64 × 104 s)? Give your answer to 2 significant figures.

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F: P = E / t
I: 2.0 × 109 = E ÷ 8.64 × 104
F: E = 2.0 × 109 × 8.64 × 104 = 1.728 × 1014 J
A: 1.7 × 1014 J (2 s.f.)

Q9 (H) A 6.0 kW lift motor raises an 800 kg lift by 15 m. Assuming no energy is wasted, how long does this take? (g = 9.8 N/kg)

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Step 1 – energy: Eₚ = m g h = 800 × 9.8 × 15 = 117 600 J
Step 2 – time
F: P = E / t
I: 6000 = 117 600 ÷ t
F: t = 117 600 ÷ 6000
A: 19.6 s

Q10 (H) A 1.1 kW microwave runs for 3 minutes 45 seconds. Calculate the energy transferred in kJ, to 2 significant figures.

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Convert first: 1.1 kW = 1100 W; 3 min 45 s = 225 s
F: P = E / t
I: 1100 = E ÷ 225
F: E = 1100 × 225 = 247 500 J = 247.5 kJ
A: 250 kJ (2 s.f.)