Energy in Materials

Physics: AQA A Level, topic 4.2.3

Energies in Spring Systems

In a simple spring system under a load, the spring oscillates. The total energy of the system remains constant, but the components of this energy (kinetic, gravitational potential and elastic potential) can vary.

Total energy

Total energy

  • A spring system obeys the law of conservation of energy.
  • The total energy at all points in an oscillation is the same.
Elastic potential energy

Elastic potential energy

  • Elastic potential energy stored in a spring is:
  • E=12FΔLE = \frac{1}{2} F \Delta L
  • This is equal to the area under a force-extension graph.
  • Using Hooke's law (F=kΔLF = k\Delta L):
  • E=12k(ΔL)2E = \frac{1}{2} k (\Delta L)^2

Energy Conservation in Transport Design

Safety features of vehicles rely on specific material properties.

Energy issues

Energy issues

  • In an impact (such as a car crash), a great deal of energy can be transferred to the passengers.
  • This could cause significant injury. Vehicles are designed to redirect this energy away from passengers.
Crumple zones

Crumple zones

  • Crumple zones are parts of a vehicle which permanently deform.
  • Crumple zones show plastic behaviour.
  • The energy of impact is redirected towards plastically deforming the crumple zones. So people are less likely to be injured.

Test yourself on Energy in Materials

  • Which statements are true about an oscillating spring?

  • Explain how the energy of a spring varies as it oscillates.

  • Which statements about crumple zones are true?

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