Physics · Paper 1

CP3 · Conservation of energyTopic 3 — Conservation of energy

Energy stores, conservation, efficiency, thermal transfers and energy resources.

Revise the key ideas

Energy stores and transfers

  • Energy is measured in joules (J). It cannot be created or destroyed: total energy in a closed system remains constant.
  • The eight stores are kinetic, thermal/internal, chemical, gravitational potential, elastic potential, nuclear, magnetic and electrostatic.
  • Energy transfers occur mechanically (forces doing work), electrically (moving charges), by heating and by radiation such as light or infrared. Sound can also carry energy away.
  • A battery-powered motor transfers energy electrically from the battery’s chemical store to a moving object's kinetic store and thermal stores.
  • A falling object transfers energy from its gravitational potential store to its kinetic store. Air resistance also transfers energy to thermal stores in the object and surroundings.
  • Useful transfers achieve the intended purpose. Unwanted transfers often heat the surroundings or produce sound. Dissipated energy is spread out and becomes less useful, but has not been destroyed.
  • A Sankey diagram represents transfers with arrow widths proportional to energy. Input equals total useful and unwanted output; read values and units carefully.
    Proportional Sankey bands100 J entering splits into 25 J useful light and 75 J unwanted heating. Band thickness is proportional to energy.100 J input25 J light75 J heating
    Energy conservation: 100 J = 25 J + 75 J. Arrow shafts show the proportions.

Calculating stored energy and efficiency

  • Change in gravitational potential energy = mass × gravitational field strength × change in vertical height, ΔGPE = mgΔh. Use kg, N/kg and m to obtain J.
    Gravitational energy changeA 2 kg mass raised vertically 3 m gains 60 J for g 10 N/kg.2 kg2 kgΔh = 3 mΔGPE = 2 × 10 × 3 = 60 J
    Use the vertical height change, not the length of a slope.
  • A 2 kg object raised 3 m in g = 10 N/kg gains 60 J. The reference level is chosen for the calculation; energy depends on a change in height.
  • Kinetic energy = ½mv², with mass in kg and speed in m/s. Squaring speed means doubling speed quadruples kinetic energy at unchanged mass.
  • A 4 kg object moving at 5 m/s has kinetic energy ½ × 4 × 25 = 50 J.
  • Efficiency = useful energy transferred ÷ total energy supplied. It has no unit and is a fraction between 0 and 1. Multiply by 100 to express it as a percentage.
  • A lamp supplied 100 J and transferring 25 J by useful light has efficiency 0.25, or 25%. The remaining 75 J is transferred in unwanted ways.
  • Lubrication reduces friction and unwanted heating in moving machinery. Insulation reduces unwanted thermal transfers. Both can improve efficiency for the intended task.

Heating and insulation

  • Heating normally transfers energy from a hotter region to a cooler region. Temperature is not the same quantity as energy; heating can raise temperature or cause a change of state.
  • In conduction, energy passes between neighbouring particles; free electrons also transfer energy efficiently in metals. Material does not flow along the conductor as a whole.
  • Convection happens in fluids (liquids and gases). A warmer region usually becomes less dense and rises. Cooler, denser fluid sinks to take its place, setting up a convection current.
    Convection circulationWarm fluid rises on the left, crosses the top, cools and sinks on the right.Warm fluid rises; cooler fluid sinks
    Convection transfers energy by bulk movement of fluid.
  • Infrared radiation transfers energy without needing a material to travel through (a medium). It can travel through a vacuum, unlike conduction and convection.
  • A low thermal conductivity makes a material a good thermal insulator. For otherwise identical walls, greater thickness reduces the rate of conduction.
  • A larger temperature difference across a wall increases the rate of energy transfer; a higher thermal conductivity also increases that rate.
  • Trapped air in cavity-wall insulation and double glazing reduces conduction; small pockets limit convection. Unfilled large air spaces can still allow convection.
    Insulated wallTwo walls enclose small air pockets in insulating material.WallWallAirAirAirAirAirAirAirAirAirTrapped air limits conduction and convection
    Small air pockets inhibit large convection currents.
  • Loft insulation, thick low-conductivity walls and double glazing reduce cooling. Draught proofing reduces transfers by moving air. Shiny surfaces can reduce infrared absorption and emission.

Non-renewable resources

  • Fossil fuels are coal, oil and natural gas. They form over very long times and are used faster than they are replaced, making them non-renewable.
  • Combustion transfers energy from chemical stores; electricity generation often uses heating to make steam that drives turbines and generators.
  • Burning fossil fuels releases carbon dioxide, contributing to climate change. Some fuels also cause air pollution and habitat damage during extraction.
  • Nuclear fuels such as uranium are non-renewable. Nuclear reactions release energy for heating and electricity generation with low operational carbon dioxide emissions.
  • Nuclear generation produces radioactive waste requiring secure management; accidents, decommissioning costs and lifecycle emissions must be considered. Low operational emissions do not mean no environmental impacts.

Renewable resources and choices

  • Renewable resources are replaced naturally quickly enough for continued use. Examples include wind, solar, tides, hydroelectricity, geothermal energy and biofuels grown and replaced sustainably.
  • Wind turbines transfer kinetic energy of air; hydroelectricity uses water dropping from a higher level; tidal systems use tidal water movements. These can drive generators.
  • Solar cells transfer energy electrically from sunlight; solar heating warms water. Their output varies with sunlight and weather.
  • Geothermal heating uses energy from hot rocks. Biofuels release energy by combustion; plant growth can take up carbon dioxide, but farming, processing, transport and land-use changes affect net emissions.
  • Resource reliability differs: wind and solar are variable, tides are predictable, stored-water hydroelectricity can respond quickly, and geothermal can provide steadier output in suitable locations.
  • Compare cost, start-up time, availability, land use, habitat impacts, pollution, waste and reliability. No single resource is best in every location.
    Resource comparisonsResource, Reliability, Key concern; Wind, Variable, Habitats/noise; Solar, Day/weather, Land/materials; Tidal, Predictable, Estuary habitats; Nuclear, Steady supply, Waste storageResourceReliabilityKey concernWindVariableHabitats/noiseSolarDay/weatherLand/materialsTidalPredictableEstuary habitatsNuclearSteady supplyWaste storage
    Use several criteria rather than a single advantage.
  • Energy use changes with demand, price, technology and environmental priorities. Use the data in a question to describe trends without inventing causes or treating a correlation as proof.

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