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Eduqas GCSE Physics (C420P) · Topic 1 — Energy
Mini-Lesson

Energy

This mini-lesson walks you through the whole of Eduqas Topic 1 — Energy: where energy is stored, how it is transferred, the equations you need, conservation & dissipation, and the national and global energy sources that power the world.

gravity store kinetic store a diver falls energy is conserved
A diver leaving the board: their gravitational store empties into their kinetic store as they fall.

Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect ⭐ stars. Look out for the Higher tier flags. Press Start when you're ready.

Stores of energy

Energy is held in stores

You never "use energy up" — you shift it from one store to another. Eduqas names seven energy stores:

🏃kinetic ⛰️gravitational 🪀elastic 🔥thermal 🔋chemical 🧲magnetic electrostatic
Eduqas' seven energy stores. A moving sledge fills its kinetic store; a raised drone fills its gravitational store.

Watch out: "heat", "electrical", "light" and "sound" are not stores — they are transfer pathways. We'll meet those next.

Quick check

Which store?

?A diver stands still on a high platform before jumping. Which energy store has been filled simply by climbing up to the platform?
Pathways of transfer

Four ways energy moves

The Eduqas spec lists four methods of transferring energy between stores:

  • Mechanical work — a force moves an object (pushing, lifting, stretching).
  • Electrical work — charge moves through a potential difference.
  • Heating — energy passes from a hotter to a cooler object.
  • Radiation — e.g. light, infrared or sound carrying energy away.
mains supply electrical work 🍞 radiation thermal store of bread
A toaster: the mains does electrical work on the element, which transfers energy by radiation (infrared) to the bread's thermal store.
Sort it

Name the pathway

Tap the pathway that does the main energy transfer in each case.

Equation 1

Kinetic energy store

Every moving object has energy in its kinetic store. It depends on mass and, much more strongly, on speed:

KE = ½ m v²kinetic energy (J) = ½ × mass (kg) × velocity² (m/s)²

Because velocity is squared, tripling the speed gives nine times the kinetic energy — a key reason braking distances grow so fast.

Worked example

A 1200 kg van travels at 15 m/s.

KE = ½ × 1200 × 15² = ½ × 1200 × 225 = 135 000 J (135 kJ)

Calculate

Your turn — kinetic energy

1A 0.4 kg football is kicked at 12 m/s. Calculate the energy in its kinetic store.
J
Hint: KE = ½ × 0.4 × 12². (12² = 144)
Equation 2

Gravitational potential store

Raise an object and you fill its gravitational store. A change in elevation is a form of mechanical work:

GPE = m g Δhg.p.e. (J) = mass (kg) × gravitational field strength (N/kg) × change in height (m)
height Δh work done lifting → g.p.e.
Use g = 9.8 N/kg on Earth (some questions approximate it to 10).
Worked example

A 0.5 kg drone rises 40 m (g = 9.8 N/kg).

GPE = 0.5 × 9.8 × 40 = 196 J

Calculate

Your turn — gravitational store

2A 25 kg crate is hoisted 6 m up onto scaffolding. Using g = 9.8 N/kg, how much energy is transferred to its gravitational store?
J
Hint: GPE = 25 × 9.8 × 6.
Equation 3

Elastic potential store

Stretch or squash a spring (within its limit of proportionality) and you fill its elastic potential store. Deformation is a form of mechanical work:

EPE = ½ k x²elastic p.e. (J) = ½ × spring constant (N/m) × extension² (m)²
extension x

x is the extension (how much longer the spring gets), not the total length. Like kinetic energy, the extension is squared. The spring force itself is given by F = k x.

Calculate

Your turn — elastic store

3A trampoline spring with spring constant 250 N/m is stretched by an extension of 0.30 m. Calculate the energy in its elastic potential store.
J
Hint: EPE = ½ × 250 × 0.30². (0.30² = 0.09)
Conservation of energy

Energy is never lost

The law of conservation of energy: energy cannot be created or destroyed — only transferred between stores, stored, or dissipated.

On a playground swing, energy moves between the gravitational store (at the top) and the kinetic store (at the bottom):

g.p.e. max k.e. = 0 g.p.e. max k.e. max, g.p.e. min
At the bottom the swing moves fastest — its kinetic store is largest there.

In a perfect (closed) system the totals always balance: g.p.e. lost = k.e. gained. In real life a little is dissipated by air resistance and friction — warming the surroundings.

Quick check

Reading the swing

?Ignoring friction, at which point of its swing does the pendulum bob have the most energy in its gravitational store?
Equation 4 · specific heat capacity

Specific heat capacity

To warm something up you fill its thermal store. How much energy that takes depends on the material's specific heat capacity, c:

Q = m c ΔTenergy (J) = mass (kg) × specific heat capacity (J/kg°C) × temperature change (°C)

The specific heat capacity is the energy needed to raise 1 kg of a substance by 1 °C (without a change of state). Water's is high (4200 J/kg°C), which is why it is slow to heat and slow to cool — handy for central heating.

Measuring c: heat a known mass of a metal block with an electric immersion heater, record the energy supplied and the temperature rise, then calculate c = Q ÷ (m ΔT).

Worked example

Heating 0.8 kg of water (c = 4200) by 25 °C:

Q = 0.8 × 4200 × 25 = 84 000 J (84 kJ)

Calculate

Your turn — heating a metal block

4How much energy is needed to raise the temperature of a 3 kg aluminium block (c = 900 J/kg°C) by 20 °C?
J
Hint: Q = 3 × 900 × 20.
Higher tier · specific latent heat

Changing state

When a substance changes state (melts or boils) its temperature does not change, even though energy is still being transferred. The energy goes into breaking bonds between particles. This is described by the specific latent heat, L:

Q = m Lenergy (J) = mass (kg) × specific latent heat (J/kg)

Higher tier only. Specific latent heat is the energy needed to change the state of 1 kg of a substance with no change in temperature. There is one value for melting (fusion) and a different value for boiling (vaporisation).

Worked example

Melting 0.2 kg of ice (specific latent heat of fusion = 334 000 J/kg):

Q = 0.2 × 334 000 = 66 800 J (66.8 kJ)

Higher · Calculate

Your turn — latent heat

5How much energy is needed to boil away 0.5 kg of water that is already at 100 °C? (specific latent heat of vaporisation = 2 260 000 J/kg)
J
Hint: Q = 0.5 × 2 260 000.
Power

Power is the rate of transfer

Power tells you how quickly energy is transferred (or how quickly work is done):

P = W ÷ Δt  =  E ÷ Δtpower (W) = energy transferred / work done (J) ÷ time (s)

One watt is one joule per second (1 W = 1 J/s). A 1800 W microwave and a 900 W microwave heat the same meal — but the 1800 W one gets there in half the time.

Calculate

Your turn — power

6A winch transfers 9000 J of energy in 45 s lifting a load. Calculate its power output.
W
Hint: P = 9000 ÷ 45.
Dissipation & efficiency

Useful vs wasted energy

In every transfer, some energy is dissipated — spread out to the surroundings (usually by heating) where it is no longer useful. A Sankey diagram shows this: the wider the arrow, the more energy.

input 500 J kinetic 375 J (useful) heat 125 J (wasted)
An electric motor: 375 J of every 500 J supplied becomes useful kinetic energy; the rest heats the windings.
efficiency = useful output ÷ total input(× 100 for a percentage) — always between 0 and 1 (0–100%), no units

That motor's efficiency = 375 ÷ 500 = 0.75 = 75%. Reducing wasted heat would push the efficiency higher.

Calculate

Your turn — efficiency

7An LED lamp is supplied with 50 J of energy and transfers 44 J usefully as light. Calculate its efficiency as a percentage.
%
Hint: (44 ÷ 50) × 100.
Reducing unwanted transfers

Wasting less energy

  • Lubrication — oil between moving parts cuts friction, so less energy is dissipated by heating.
  • Thermal insulation — loft insulation and cavity-wall insulation trap pockets of air, slowing conduction and convection.
  • Double glazing — a layer of trapped air (or a vacuum) between two panes nearly stops conduction through windows.
  • A wall loses energy more slowly when it is thicker and made of a material with a lower thermal conductivity.
thin wall fast loss thick, low-conductivity wall slow loss
Quick check

Keeping the heat in

?Why does the trapped air gap inside a double-glazed window reduce heat loss so effectively?
National & global sources

Where our energy comes from

Over the last 200 years demand for electricity has grown enormously. The big divide is renewable (replaced as fast as it's used) vs non-renewable (a finite store):

Renewable ☀️ solar💨 wind 🌊 tidal🌊 waves 💧 hydro🌋 geothermal 🌱 biomass Non-renewable 🪨 coal🛢️ oil 🔥 natural gas ☢️ nuclear fuel

Trade-offs: fossil fuels (coal, oil, gas) are reliable and release a lot of energy, but emit CO₂ and other greenhouse gases. Nuclear fuel emits no CO₂ and is very energy-dense, but leaves long-lived radioactive waste. Many renewables (solar, wind, waves) are less reliable — they depend on weather or daylight. Biomass is renewable but still releases CO₂ when burned.

Sort it

Renewable or not?

Tap a source, then tap the box it belongs in.

♻️ Renewable

⛽ Non-renewable

Quick check

Choosing a source

?A mountain valley with a fast-flowing river dammed at height wants electricity that is renewable, can be switched on quickly and produces no carbon dioxide as it generates. Which fits best?
Recap

The equations to know

Kinetic store: KE = ½ m v²

Gravitational store: GPE = m g Δh

Elastic store: EPE = ½ k x² (spring force F = k x)

Heating: Q = m c ΔT

Changing state (Higher): Q = m L

Power: P = W ÷ Δt = E ÷ Δt

Efficiency: useful ÷ total (× 100%, no units)

You've covered all of Eduqas Topic 1 — energy changes in a system & the ways energy is stored, conservation & dissipation, national & global energy sources, and energy transfers. Press Finish to see your score.

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