Conservation & Dissipation of Energy (Oxford AQA IGCSE Physics)

Revision Note

Leander Oates

Expertise

Physics

Conservation of Energy

What is the conservation of energy?

  • The law of conservation of energy states that

Energy can be transferred usefully, stored, or dissipated, but cannot be created or destroyed

  • This means the total amount of energy in a closed system remains constant 

  • The total energy transferred into an open system must be equal to the total energy transferred out of the system

Example 1: a bat hitting a ball

A bat striking a ball

Bat striking a ball transfers energy, for IGCSE & GCSE Physics revision notes
Energy transfers taking place when a bat hits a ball
  • The moving bat has energy in its kinetic store

    • Some of that energy is usefully transferred mechanically to the kinetic store of the ball

    • Some of that energy is transferred from the kinetic store of the bat to the thermal store of the ball mechanically due to the impact of the bat on the ball

    • Some of that energy is dissipated by heating to the thermal store of the bat, the ball, and the surroundings

Energy flow diagram for a bat striking a ball

Energy flow diagram summarising transfers for IGCSE & GCSE Physics revision notes
The energy flow diagram shows the useful energy transfers and the wasted energy transfers

Example 2: boiling water in a kettle

Energy transfers as a kettle boils water

Boiling a kettle, for IGCSE & GCSE Physics revision notes
The kettle boils water by transferring energy from the thermal store of the filament to the thermal store of the water
  • When an electric kettle boils water, energy is transferred electrically from the mains supply to the thermal store of the heating element inside the kettle

    • As the heating element gets hotter, energy is transferred by heating to the thermal store of the water

    • Some of the energy is transferred to the thermal store of the plastic kettle

    • Some energy is dissipated to the thermal store of the surroundings due to the air around the kettle being heated

Example 3: trampoline

A person bouncing on a trampoline

Energy transfers of a person bouncing on a trampoline, for IGCSE & GCSE Physics revision notes
Energy is transferred from the elastic potential store of the trampoline as the fabric is stretched, to the kinetic store of the person when they are in motion to the gravitational potential store of the person as they gain height
  • Whilst jumping, the person has energy in their kinetic store

    • When the person lands on the trampoline, most of that energy is transferred to the elastic potential store of the trampoline as the fabric is stretched

  • That energy is transferred usefully back to the kinetic store of the person as they bounce upwards

    • Energy is transferred from the kinetic store of the person to the gravitational potential store of the person as they gain height 

    • Some of the energy is dissipated by heating to the thermal store of the surroundings (the person, the trampoline and the air)

  • The useful energy transfers taking place are:

elastic potential energy ➝ kinetic energy ➝ gravitational potential energy

Worked Example

The diagram shows a rollercoaster going down a track.

The rollercoaster takes the path 1 → 2 → 3 → 4.

A roller coaster track with 4 sections labelled 1 to 4. The track begins with a downward slope labelled 1, the rollercoaster cart is positioned at the top of the slope ready to roll down it. The track then does a loop the loop, the upward side of the loop is labelled 2, the downward side of the loop is labelled 3. The track then levels off to a horizontal section at ground level, this section is labelled 4

Which statement about the energy changes that occur for the rollercoaster down this track is true?

A.     EK → EP → EP → EK

B.     EK → EP → EK → EP

C.     EP → EK → EK → EP

D.     EP → EK → EP → EK

Answer: D

  • At point 1:

    • The rollercoaster is raised above the ground, therefore it has energy in its gravitational potential store

    • As it travels down the track, energy is transferred mechanically to its kinetic store 

  • At point 2:

    • Energy is transferred mechanically from the kinetic store to the gravitational potential store

    • As the kinetic energy store empties, the gravitational potential energy store fills

  • At point 3:

    • Energy is transferred mechanically from the gravitational potential store to the kinetic store

  • At point 4:

    • The flat terrain means there is no change in the amount of energy in its gravitational potential store, the rollercoaster only has energy in its kinetic store

    • The kinetic energy store is full

  • In reality, some energy will also be transferred to the thermal energy store of the tracks due to friction, and to the thermal energy store of the surroundings due to sound

  • We say this energy is dissipated to the surroundings

    • The total amount of energy in the system will be constant

    • Total energy in = total energy out

Exam Tip

It is helpful to think of energy stores as beakers and the total energy in the system as water. The water can be poured from one beaker into another as energy is transferred between stores. 

You may not always be given the energy transfers that happen in a system in exam questions. By familiarising yourself with the energy stores and transfer pathways, you can relate these to the question situation. For example, a ball rolling down a hill transfers energy mechanically from the ball's gravitational potential energy store to its kinetic energy store, whilst a spring transfers energy mechanically from its elastic potential energy store to its kinetic energy store.

Dissipated Energy

  • When energy is transferred only part of it may be usefully transferred

    • Unintended or wasted energy transfers are inevitable

    • There is no such thing as a perfect energy transfer

  • Most wasted energy transfers result in the heating of objects and their surroundings

    • We say this energy is dissipated (spread out) to the thermal store of the surroundings

An electric kettle boiling water

Boiling a kettle, for IGCSE & GCSE Physics Revision Notes
The useful energy transfer for a kettle is from the thermal store of the filament to the thermal store of the water
  • Useful energy transfer of a kettle

    • Energy is transferred by heating from the thermal store of the heating element in the kettle to the thermal store of the water

  • Wasted energy transfers of a kettle

    • Energy is transferred from the thermal store of the water to the thermal store of the kettle casing

    • Energy is transferred from the thermal store of the kettle casing to the thermal store of the surroundings and the temperature of the air in the room will increase slightly

    • Energy is transferred from the thermal store of the water to the thermal store of the surroundings as water evaporates

  • Energy transfers are deemed useful if they have a purpose or contribute to a process

    • The purpose of a kettle is to heat water so the energy transfer to the thermal store of the water is useful

  • Energy transfers are deemed wasted if the energy can no longer be used for that purpose

    • The energy transferred to the air surrounding the kettle does not heat the water, therefore this energy is wasted

Energy & Friction

  • Work done against air resistance, frictional forces, and resistance in wires all result in heating

  • Energy is transferred to the thermal store of the surroundings increasing the temperature of the air particles and surrounding objects 

  • Once energy is in the thermal store of the surroundings, it can not be 'gathered' for any specific use

  • Therefore, it is referred to as wasted energy

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Leander Oates

Author: Leander Oates

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.