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GCSE/Physics/Edexcel

CP3Conservation of energy — KE, GPE, EPE, energy stores, efficiency, dissipation, Sankey diagrams

Notes

Conservation of Energy

The Principle of Conservation of Energy

Energy cannot be created or destroyed; it can only be transferred from one store to another.

This is one of the most fundamental laws of physics and applies to every process — no exceptions.

Energy Stores

Edexcel 1PH0 uses the energy stores and pathways model:

StoreFormulaKey variables
Kinetic energy (KE)KE = ½mv²m in kg, v in m/s
Gravitational potential energy (GPE)GPE = mghm in kg, g in N/kg, h in m
Elastic potential energy (EPE)EPE = ½ke²k = spring constant (N/m), e = extension (m)
Thermal (internal)Temperature × mass × specific heat
Chemical(food, fuel, batteries)
Nuclear(radioactive decay, fission)

Energy Transfers

Energy transfers between stores via pathways:

  • Mechanical (forces doing work)
  • Electrical (current in a circuit)
  • Heating (thermal conduction, convection, radiation)
  • Radiation (light, sound, EM waves)

Work done = force × distance (in the direction of the force): W = Fd (unit: joule, J = N m)

When a resultant force does work on an object, it changes its kinetic energy: W = ΔKE.

Efficiency

Efficiency = useful output energy ÷ total input energy × 100%

Or using power: efficiency = useful output power ÷ total input power.

A machine with 80% efficiency wastes 20% as heat/sound. No real machine is 100% efficient due to friction and heating effects.

Sankey diagrams show energy flow: arrow width represents the amount of energy. The useful output arrow and waste arrow(s) branch from the main input arrow.

Example: A light bulb uses 100 J of electrical energy → 10 J light (useful) + 90 J heat (wasted). Efficiency = 10/100 = 10%.

Core Practical 3 — Investigating specific heat capacity

Equipment: electric heater, metal block (aluminium), joulemeter (or ammeter + voltmeter + stopwatch), thermometer, insulating jacket, digital balance.

Method:

  1. Measure mass of block (m).
  2. Place heater and thermometer in the holes of the block.
  3. Record initial temperature. Switch on heater. Record temperature every minute for 10 minutes.
  4. Record energy supplied: E = V × I × t from joulemeter.
  5. Calculate c: E = mcΔT → c = E ÷ (m × ΔT).

Sources of error: heat lost to surroundings (use insulating jacket); thermal contact between thermometer and block. Repeat and average for reliability.

GPE–KE Transfers

A falling object converts GPE to KE (ignoring air resistance): mgh = ½mv² → v = √(2gh)

Example: ball dropped from 5 m: v = √(2 × 9.8 × 5) = √98 ≈ 9.9 m/s at ground.

In reality, some GPE converts to thermal energy due to air resistance.

AI-generated · claude-opus-4-7 · v3-edexcel-physics

Practice questions

Try each before peeking at the worked solution.

  1. Question 18 marks

    KE and GPE calculation — falling object

    Edexcel 1PH0 Paper 1

    A 2 kg ball is dropped from a height of 20 m. Assume no air resistance and g = 9.8 N/kg.

    (a) Calculate the GPE of the ball at the top. (2 marks)
    (b) Calculate the speed of the ball just before it hits the ground. (3 marks)
    (c) In practice, the ball hits the ground at 18 m/s. Calculate the energy dissipated due to air resistance. (3 marks)

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    AI-generated · claude-opus-4-7 · v3-edexcel-physics

  2. Question 27 marks

    Efficiency and Sankey diagram

    Edexcel 1PH0 Paper 1

    An electric motor is supplied with 500 J of electrical energy. It produces 350 J of useful kinetic energy.

    (a) Calculate the efficiency of the motor. (2 marks)
    (b) State how much energy is wasted and describe the form it takes. (2 marks)
    (c) Draw and label a Sankey diagram for this motor. (3 marks)

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    AI-generated · claude-opus-4-7 · v3-edexcel-physics

  3. Question 36 marks

    Specific heat capacity — Core Practical 3

    Edexcel 1PH0 Paper 1

    A student heats a 0.5 kg aluminium block using an electric heater. The heater supplies 9000 J of energy. The temperature of the block rises from 20°C to 56°C.

    (a) Calculate the specific heat capacity of aluminium from these results. (3 marks)
    (b) The actual specific heat capacity of aluminium is 900 J/kg°C. Calculate the percentage error in the student's result. (2 marks)
    (c) Suggest one improvement to reduce heat loss in the experiment. (1 mark)

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    AI-generated · claude-opus-4-7 · v3-edexcel-physics

  4. Question 45 marks

    Spring EPE and work done

    Edexcel 1PH0 Paper 1

    A spring has a spring constant of 40 N/m. It is compressed by 0.15 m.

    (a) Calculate the elastic potential energy stored in the spring. (2 marks)
    (b) When released, the spring launches a 0.02 kg ball. Calculate the maximum speed of the ball, assuming all EPE converts to KE. (3 marks)

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    AI-generated · claude-opus-4-7 · v3-edexcel-physics

Flashcards

CP3 — Conservation of energy — KE, GPE, EPE, energy stores, efficiency, dissipation, Sankey diagrams

8-card SR deck for Edexcel Physics topic CP3

8 cards · spaced repetition (SM-2)