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OCR Gateway GCSE Physics A (J249) · P7 — Energy
Mini-Lesson

Energy

This mini-lesson covers the whole of OCR Gateway P7 — Energy: how energy is stored and transferred, the conservation of energy in a closed system, the kinetic, gravitational and elastic calculations, plus work, power, dissipation and efficiency.

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 3Same work, so who is more powerful?
  4. Mission 4Where does the bulb's extra energy go?

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

P7.1 · Stores & transfers

Think in stores, not "types"

OCR wants you to describe a system using energy stores and the transfers between them. We never "use energy up" — we shift it from one store to another.

kineticmoving objectsgravitationalraised objectselasticstretched or squashedchemicalfuels, food, batteriesthermalhot objectselectrostaticseparated chargesmagneticmagnets near each othernuclearatomic nuclei
Stores hold energy; transfers move it between them.

Watch out: "electrical", "heating" and "radiation" name how energy is transferred — they are pathways, not stores.

P7.1 · Pathways

Four ways energy is transferred

Whenever a system changes, the energy moves along one of four pathways:

  • Mechanically — a force does work (pushing, pulling, stretching, lifting).
  • Electrically — charge moves through a potential difference (e.g. a current in an appliance).
  • By heating — energy passes from a hotter to a cooler object.
  • By radiation — e.g. light or sound carrying energy away.
mainssupply electrically toasterheating element by heating (and radiation) thermal storeof the bread
A toaster: the mains transfers energy electrically to the element, which transfers it by heating (and radiation) to the bread.
Quick check

Which store fills?

?A wind-up clockwork toy is wound tightly before it is let go. While it is wound up, which energy store has been filled inside the spring?
Sort it

Filling which store?

For each change, tap the store that is being filled (gaining energy).

P7.1a · Conservation

Energy is conserved

The law of conservation of energy: energy can be transferred, stored or dissipated, but it is never created or destroyed.

In a closed system (no energy in or out) the total energy stays the same — there is no net change. Energy just moves between stores.

before chemical 500 J = 500 J after useful 300 J wasted 200 J = 500 J total before = total after (the wasted energy is dissipated to the surroundings)
The total never changes — only how it is shared between stores.

Misconception: energy is not "used up". Even wasted energy still exists — it has just spread out to the surroundings where it is no longer useful.

P7.1b · GPE ⇄ KE

Falling: gravitational store → kinetic store

When an object falls, energy shifts from its gravitational store into its kinetic store. On a swinging pendulum it sloshes back and forth between the two:

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

If we ignore air resistance, the energy leaving the gravitational store equals the energy gained by the kinetic store, so m g h = ½ m v². The mass cancels, so a heavy and a light object reach the same speed after the same drop.

Quick check

Reading the swing

?Ignoring air resistance, a pendulum bob is released from one side. Which statement is correct?
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?
Mission 2 of 4

Which car holds more energy?

Make a guess: which car holds more energy?

P7.1e · Equation 1

Kinetic energy of a moving body

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

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

Because speed is squared, trebling the speed gives nine times the kinetic energy. This is investigated with light gates and trolleys.

Worked example

A 1200 kg car travels at 15 m/s.

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

Calculate

Your turn — kinetic energy

1A 0.5 kg football is kicked so it moves at 12 m/s. Calculate the energy in its kinetic store.
J
Hint: Ek = ½ × 0.5 × 12². (12² = 144)
P7.1e · Equation 2

Energy of an object raised up

Lift an object and you fill its gravitational store. The work done lifting it equals the energy stored:

Ep = m g hg.p.e. (J) = mass (kg) × gravitational field strength (N/kg) × height (m)
h work done lifting = energy into the gravitational store
OCR exam questions give g = 10 N/kg on Earth.
Worked example

A 0.25 kg apple is lifted 1.6 m onto a shelf (g = 10 N/kg).

Ep = 0.25 × 10 × 1.6 = 4 J

Calculate

Your turn — gravitational store

2A 45 kg gymnast climbs 4 m up a rope. Using g = 10 N/kg, how much energy is transferred to her gravitational store?
J
Hint: Ep = 45 × 10 × 4.
Calculate

Your turn — falling object

3A ball is dropped from a height of 5 m. Ignoring air resistance, use ½mv² = mgh with g = 10 N/kg to find its speed just before it lands.
m/s
Hint: mass cancels, so v² = 2gh = 2 × 10 × 5 = 100. Then v = √100.
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.
P7.1e · Equation 3

Energy in a stretched spring

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

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

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

Calculate

Your turn — elastic store

4A spring of spring constant 250 N/m is stretched by an extension of 0.30 m. Calculate the energy in its elastic potential store.
J
Hint: Ee = ½ × 250 × 0.30². (0.30² = 0.09)
Mission 3 of 4

Same work, so who is more powerful?

Make a guess: what makes the sprinter more powerful?

P7.1c–d · Work done

Work done by a force

When a force makes an object move, the force does work — and the work done equals the energy transferred mechanically:

W = F swork done (J) = force (N) × distance moved along the line of the force (m)

One joule is the work done when a force of 1 N moves an object 1 m (1 J = 1 N·m). Pushing with a bigger force, or moving the object further, does more work.

Worked example

A cleaner pushes a trolley with a 30 N force for 8 m.

W = F × s = 30 × 8 = 240 J transferred.

Calculate

Your turn — work done

5A horizontal force of 250 N drags a sledge 6 m across the snow. Calculate the work done by the force.
J
Hint: W = F × s = 250 × 6.
P7.2c · 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). The power rating of an appliance tells you how much energy it transfers each second when in use.

Misconception: a higher power does not mean more total energy — it means the same energy can be transferred in less time. A 2 kW kettle boils the same water as a 1 kW one, but in half the time.

Calculate

Your turn — power

6A crane lifts a load, transferring 90 000 J of energy in 30 s. Calculate its power output.
W
Hint: P = E ÷ t = 90 000 ÷ 30.
Mission 3 check

Same work, so who is more powerful?

?Two electric winches each lift the same load through the same height. Winch A takes 10 s. Winch B takes 25 s. Which winch is more powerful?
Mission 4 of 4

Where does the bulb's extra energy go?

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

P7.2a,d · Dissipation & efficiency

Useful vs dissipated energy

In every transfer, some energy is dissipated — stored in less useful ways (usually spread out by heating). A Sankey diagram shows this: the wider the arrow, the more energy.

input 500 J useful kinetic 375 J wasted (heating) 125 J
This motor: 375 J of every 500 J becomes useful kinetic energy.
efficiency = useful output ÷ total input(× 100 for a percentage) — a ratio between 0 and 1, with no units

That motor's efficiency = 375 ÷ 500 = 0.75 = 75%. Efficiency is always less than 1 (under 100%) and has no units.

Calculate

Your turn — efficiency

7A kettle is supplied with 240 000 J of energy and transfers 204 000 J usefully to the thermal store of the water. Calculate its efficiency as a percentage.
%
Hint: (204 000 ÷ 240 000) × 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?
P7.2f–g · Reducing waste

Reducing unwanted transfers

  • Lubrication — oil between moving parts cuts friction, so less energy is dissipated by heating.
  • Thermal insulation — keeps energy in the thermal store for longer.
  • A building cools more slowly when its walls are thicker and made of a material with a lower thermal conductivity (qualitative only).
fast transfer warmthin wall,high conductivity slow transfer warmthick wall,low conductivity
Quick check

Keeping the heat in

?Two identical houses differ only in their walls. Which house's thermal store will cool down the most slowly?
Higher tier

Increasing efficiency (HT only · P7.2e)

?A geared machine wastes a lot of energy through friction in its bearings. Which change would increase its efficiency the most?
Recap

The P7 equations to know

Kinetic store: Ek = ½ m v²

Gravitational store: Ep = m g h

Elastic store: Ee = ½ k e²

Work done: W = F s (= energy transferred)

Power: P = E ÷ t = W ÷ t

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

You've covered both parts of OCR Gateway P7 — P7.1 Work done (stores, transfers, conservation in a closed system, the energy calculations) and P7.2 Power and efficiency (dissipation, efficiency, reducing unwanted transfers). Press Finish to see your score.

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