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AQA GCSE Physics (8463) · Topic 4.1 — Energy
Mini-Lesson

Energy

This mini-lesson walks you through the whole of AQA Topic 4.1 — Energy: where energy is stored, how it is transferred, the equations you need, and the energy resources that power the world.

Make a guess: why must a rollercoaster's first hill be the tallest?

  1. Mission 1Why must the first hill be the tallest?
  2. Mission 2Which car holds more energy?
  3. Mission 3Why does iron warm up more than water?
  4. Mission 4Where does the bulb's extra energy go?
  5. Mission 5Why not run everything on wind?

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

Stores of energy

Energy is held in stores

We never "use energy up" — we shift it from one store to another. AQA expects you to recognise these stores:

kinetic moving objects gravitational raised objects elastic potential stretched spring thermal hot objects chemical food, fuels, cells magnetic magnets near each other electrostatic charges near each other nuclear atomic nuclei
The eight energy stores. A moving object fills its kinetic store; a raised object fills its gravitational store.

Energy is conserved: it is never created or destroyed. When an object falls, energy shifts from its gravitational store to its kinetic store. In any real change some energy is also dissipated, usually heating the surroundings.

Watch out: "heat", "electrical" and "light" are not stores — they are ways energy is transferred. We'll meet those next.

Quick check

Which store?

?A drawn-back archery bow is about to fire an arrow. Which energy store has been filled by pulling the string back?
Mission 1 check

Why must the first hill be the tallest?

?A rollercoaster car is pulled to the top of a 40 m hill, then let go. After that, nothing pushes it. Which later hill is the only one it could get over?
Pathways of transfer

Four ways energy moves

Energy is transferred between stores by one of four pathways:

  • Mechanically — a force does work (pushing, pulling, stretching).
  • Electrically — a charge moves through a potential difference.
  • By heating — energy passes from a hotter to a cooler object.
  • By radiation — e.g. light or sound carrying energy away.
mains supply electrically heating element by heating thermal store of the water
A kettle: the mains transfers energy electrically to the element, which transfers it by heating to the water.
Sort it

Name the pathway

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

Mission 2 of 5

Which car holds more energy?

Make a guess: which car holds more energy?

Equation 1

Kinetic energy store

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

Ek = ½ m v²kinetic energy (J) = ½ × mass (kg) × speed² (m/s)²

Because speed is squared, doubling the speed gives four times the kinetic energy — a key reason stopping distances grow so fast.

Worked example

A 1000 kg car travels at 20 m/s.

Ek = ½ × 1000 × 20² = ½ × 1000 × 400 = 200 000 J (200 kJ)

Calculate

Your turn — kinetic energy

1An 8 kg bowling ball rolls at 5 m/s. Calculate the energy in its kinetic store.
J
Hint: Ek = ½ × 8 × 5².
Equation 2

Gravitational potential store

Lift an object up and you fill its gravitational store:

Ep = m g hg.p.e. (J) = mass (kg) × gravitational field strength (N/kg) × height (m)
m m work done lifting it → gravitational store height h
On Earth g ≈ 9.8 N/kg; in the exam the value of g to use is always given.
Worked example

A 2 kg book is lifted 3 m onto a shelf (g = 9.8 N/kg).

Ep = 2 × 9.8 × 3 = 58.8 J

Calculate

Your turn — gravitational store

2A 60 kg climber goes 10 m higher up a cliff. Using g = 9.8 N/kg, how much energy is transferred to her gravitational store?
J
Hint: Ep = 60 × 9.8 × 10.
Mission 2 check

Which car holds more energy?

?An 800 kg car moves at 25 m/s on a flat road. An identical car is parked at the top of a cliff 35 m high. Which car has more energy? Use g = 10 N/kg.
Equation 3

Elastic potential store

Stretch or compress a spring (within its limit of proportionality) and you fill its elastic potential store:

Ee = ½ k e²elastic p.e. (J) = ½ × spring constant (N/m) × extension² (m)²
unstretched pull stretched extension e

e is the extension (how much longer it gets), not the total length. Like kinetic energy, the extension is squared.

Calculate

Your turn — elastic store

3A spring of spring constant 400 N/m is stretched by an extension of 0.2 m. Calculate the energy in its elastic potential store.
J
Hint: Ee = ½ × 400 × 0.2². (0.2² = 0.04)
Conservation of energy

Energy is never lost

The principle of conservation of energy: energy can be transferred, stored or dissipated, but it cannot be created or destroyed.

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

If no energy is dissipated, g.p.e. lost = k.e. gained. In real life a little is dissipated by air resistance and friction — heating the surroundings — but the total energy is still conserved.

Quick check

Reading the swing

?Ignoring friction, at which point of its swing does the pendulum bob have the most energy in its kinetic store?
Mission 3 of 5

Why does iron warm up more than water?

Make a guess: why does iron warm up more than water?

Equation 4 · required practical

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:

ΔE = m c Δθenergy (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. Water's is high (4200 J/kg°C), which is why it is slow to heat and slow to cool.

Required practical: heat a known mass of a block with an electric heater, measuring energy supplied and temperature rise, then calculate c = ΔE ÷ (m Δθ).

Worked example

Heating 0.5 kg of water (c = 4200) by 20 °C:

ΔE = 0.5 × 4200 × 20 = 42 000 J (42 kJ)

Calculate

Your turn — heating water

4How much energy is needed to raise the temperature of 2 kg of water (c = 4200 J/kg°C) by 15 °C?
J
Hint: ΔE = 2 × 4200 × 15.
Mission 3 check

Why does iron warm up more than water?

?A student gives 1 kg of cooking oil and 1 kg of water the same amount of energy. The oil's temperature rises by twice as much. What is the best explanation?
Power

Power is the rate of transfer

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

P = E ÷ t  =  W ÷ tpower (W) = energy transferred (J) ÷ time (s)

One watt is one joule per second (1 W = 1 J/s). A 2000 W kettle and a 1000 W kettle do the same job — but the 2000 W one gets there in half the time.

Calculate

Your turn — power

5A motor transfers 12 000 J of energy in 60 s. Calculate its power output.
W
Hint: P = 12 000 ÷ 60.
Mission 4 of 5

Where does the bulb's extra energy go?

Make a guess: where does a filament bulb's extra energy go?

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.

electrical 100 J in light 10 J (useful) heating the surroundings 90 J (wasted)
An old filament lamp: only about 10 J of every 100 J becomes useful light.
efficiency = useful output ÷ total input(× 100 for a percentage) — always between 0 and 1 (0–100%)

That lamp's efficiency = 10 ÷ 100 = 0.1 = 10%. An LED lamp is several times more efficient, so it wastes far less.

Calculate

Your turn — efficiency

6An electric motor is supplied with 1200 J and transfers 360 J usefully to a kinetic store. Calculate its efficiency as a percentage.
%
Hint: (360 ÷ 1200) × 100.
Mission 4 check

Where does the bulb's extra energy go?

?A filament bulb is supplied with 60 J of energy each second. It gives out 6 J of light each second. What happens to the other 54 J each second?
Reducing unwanted transfers

Wasting less energy

  • Lubrication — oil between moving parts cuts friction, so less energy is dissipated by heating.
  • Thermal insulation — traps energy in the thermal store for longer.
  • A wall loses energy more slowly when it is thicker and made of a material with a lower thermal conductivity.
inside: warm outside: cold fast thin wall, high thermal conductivity slow thick wall, low thermal conductivity
Quick check

Keeping the heat in

?Two houses are identical except for their walls. Which wall will let the thermal store cool down most slowly?
Mission 5 of 5

Why not run everything on wind?

Make a guess: why can't we run everything on wind?

National & global resources

Where our energy comes from

We draw energy from many resources. The big divide is renewable (won't run out on a human timescale) vs non-renewable (finite):

Renewable solar wind tidal water waves hydro-electricity geothermal bio-fuel Non-renewable coal oil natural gas nuclear fuel

Trade-offs: fossil fuels are reliable but release CO₂ (and contribute to climate change). Renewables are cleaner but many (solar, wind, waves) are less reliable — they depend on weather or time of day. Bio-fuel is renewable but still releases CO₂ when burned.

Sort it

Renewable or not?

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

♻️ Renewable

⛽ Non-renewable

Quick check

Choosing a resource

?A remote island wants electricity that is available day and night, whatever the weather, and produces no carbon dioxide as it generates. Which fits best?
Mission 5 check

Why not run everything on wind?

?A town plans to get all its electricity from one wind farm. What is the main problem with this plan?
Recap

The equations to know

Kinetic store: Ek = ½ m v²

Gravitational store: Ep = m g h

Elastic store: Ee = ½ k e²

Heating: ΔE = m c Δθ

Power: P = E ÷ t

Efficiency: useful ÷ total (× 100%)

You've covered the key ideas across the three parts of AQA 4.1 — energy changes in a system, conservation & dissipation, and energy resources. Press Finish to see your score.

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