At GCSE
At GCSE you calculate kinetic energy (½mv²), gravitational potential energy (mgh), work done (Fd) and efficiency, and compare renewable vs non-renewable energy resources with their environmental impact.
Energy is the topic where Physics most clearly meets everyday life, kinetic and gravitational potential energy, efficiency calculations, and the trade-offs between energy resources. UK exams reliably ask for definitions and worked calculations.
At A-Level the energy stores model is extended with work done, power as the rate of doing work, and efficiency for real devices. Linking changes in store to forces and motion answers consistently scores in the top band.
Energy is stored in different ways, called energy stores. The eight stores you need at GCSE are: kinetic, gravitational potential, elastic, chemical, thermal, nuclear, magnetic and electrostatic. Energy can be transferred between stores by forces (mechanically), by heating, by radiation, or by electrical current.
The key idea is that energy is never created or destroyed, it is only transferred from one store to another. A moving car has kinetic energy; when it brakes, that kinetic energy is transferred to the thermal store of the brakes and surroundings.
The principle of conservation of energy states that energy can be transferred usefully, stored or dissipated, but can never be created or destroyed. The total energy of a closed system remains constant.
In any real process, some energy is transferred to thermal stores (often called wasted energy) by friction or air resistance. This energy is not destroyed, it is dissipated to the surroundings and becomes less useful because it is spread out and harder to use.
Kinetic energy is the energy a moving object has: Ek = ½mv², where m is mass in kg and v is speed in m/s. Doubling speed quadruples kinetic energy because v is squared. The unit is the joule (J).
Gravitational potential energy is the energy an object has because of its position in a gravitational field: Ep = mgh, where m is mass in kg, g is gravitational field strength (≈ 9.8 N/kg on Earth) and h is height in metres. Lifting an object transfers energy from the chemical store of your muscles to the gravitational potential store.
Work is done when a force moves an object through a distance: W = Fd, where F is force in newtons and d is distance in metres (in the direction of the force). The unit is the joule (J), and 1 J = 1 N·m.
Work done is an energy transfer: when you push a box across the floor, you transfer energy from your chemical store to the kinetic store of the box and the thermal store of the box and floor (via friction). The work done against friction increases the thermal store.
Power is the rate at which energy is transferred (or the rate at which work is done): P = E/t = W/t. The unit is the watt (W), where 1 W = 1 J/s. A more powerful device transfers the same amount of energy in less time.
At A-Level, power can also be expressed as P = Fv (force × velocity), useful for problems involving constant-speed motion such as a car on a motorway.
Efficiency measures how much of the input energy is transferred usefully: efficiency = useful energy output / total energy input. As a percentage, multiply by 100. No real device is 100% efficient because some energy is always dissipated to thermal stores by friction or resistance.
For example, an electric motor that uses 200 J of electrical energy and transfers 160 J to kinetic energy has an efficiency of 160/200 = 0.8 or 80%. The remaining 20% is dissipated as heat and sound.
Non-renewable resources (coal, oil, natural gas, nuclear) are finite: they cannot be replenished once used. They are reliable and can respond quickly to demand, but burning fossil fuels releases CO2, contributing to climate change, and nuclear produces radioactive waste.
Renewable resources (wind, solar, hydroelectric, tidal, geothermal, biomass) can be replenished naturally and produce little or no CO2. However, many are intermittent (wind and solar depend on weather) and can have environmental impacts (hydroelectric floods valleys, tidal barrages affect habitats).
At GCSE you calculate kinetic energy (½mv²), gravitational potential energy (mgh), work done (Fd) and efficiency, and compare renewable vs non-renewable energy resources with their environmental impact.
At A-Level the energy stores model is applied more rigorously: power as the rate of doing work (P = Fv), efficiency of real machines, and energy changes in collisions and oscillations. Calculations involving energy transfer in mechanical and thermal systems are common.
Saying energy is lost in a system.
Energy is never lost. It is transferred to less useful stores, usually thermal. Say dissipated, not lost.
Forgetting that doubling speed quadruples KE.
Ek = ½mv². Speed is squared, so doubling v gives four times the kinetic energy, not two times.
Writing efficiency as useful output divided by wasted input.
Efficiency = useful energy output / TOTAL energy input. Wasted energy is part of the total input.
Confusing energy and power.
Energy (J) is the total amount transferred. Power (W) is the rate of transfer. A 100 W bulb on for 10 s transfers 1000 J.
Saying renewable energy produces no CO2 at all.
Biomass combustion releases CO2, and manufacturing solar panels and turbines has a carbon footprint. Most renewables have very low CO2 compared to fossil fuels, but not zero.
Writing work done = force × time.
Work done = force × distance (in the direction of the force). Force × time gives impulse, which is a different quantity.
Original exam-style prompts. Answer out loud or in writing first, then open the answer to check your wording.
Ek = ½mv² = ½ × 2 × 5² = ½ × 2 × 25 = 25 J.
Ep = mgh = 5 × 9.8 × 3 = 147 J.
Efficiency = useful output / total input = 800/1000 = 0.8 = 80%.
Some energy is always transferred to thermal stores by friction or air resistance; this energy is dissipated to the surroundings; it cannot be recovered as useful energy, so useful output is always less than total input.
Ek = ½mv² = ½ × 1200 × 20² = 600 × 400 = 240,000 J = 240 kJ.
Renewable resources can be replenished naturally and will not run out (e.g. wind); non-renewable resources are finite and cannot be replaced once used (e.g. coal); renewable resources produce far less CO2 than fossil fuels.
E = Pt = 1500 × (2 × 60) = 1500 × 120 = 180,000 J = 180 kJ.
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Q: Write the equation for kinetic energy.
A: Ek = ½ × m × v² (mass in kg, speed in m/s, energy in J).
Q: Define power.
A: Power is the rate of energy transfer (or rate of doing work): P = E/t. Measured in watts (1 W = 1 J/s).
Q: Calculate the GPE gained by a 60 kg person climbing 5 m. (g = 9.8 N/kg)
A: Ep = mgh = 60 × 9.8 × 5 = 2940 J.
Q: State the principle of conservation of energy.
A: Energy can be transferred between stores but cannot be created or destroyed; the total energy of a closed system is constant.
Some energy is always transferred to thermal energy stores by friction or air resistance, dissipating to the surroundings and becoming less useful.
Energy (joules) is the total amount transferred. Power (watts) is the rate at which it is transferred. A 100 W bulb on for 10 s transfers 1000 J.
Renewables produce far less CO2 and won't run out, but they can have higher upfront costs, variable output (wind, solar) and habitat impacts (hydro, tidal).
Kinetic store of moving air → kinetic store of rotating blades → kinetic store of generator rotor → electrical store via electromagnetic induction.
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