19.1 Energy Stored in a Spring

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🌟 Flashcard Summary: Work Done & Elastic Potential Energy

Work is done whenever a force causes an object to move in the direction of the force. When this happens, energy is transferred from one form to another.

  • Stretching a material → e.g. chemical energy in muscles → elastic potential energy
  • Pushing a vehicle → chemical energy in muscles → kinetic energy of the moving vehicle
  • A force that stretches or compresses a spring → energy stored in the spring

Elastic potential energy (also called elastic strain energy) is the energy stored when a spring or elastic material is stretched or compressed.


🔢 Elastic Potential Energy Equation

Elastic potential energy stored in a spring:

E = ½ k e2

  • E = elastic potential energy (J)
  • k = spring constant (N/m) — how stiff the spring is
  • e = extension or compression (m)

📏 Units to Remember

  • Energy → joules (J)
  • Spring constant → newtons per metre (N/m)
  • Extension → metres (m)

Exam tip: If extension is given in centimetres, always convert to metres before using the equation.


Key Physics GCSE Takeaways

  • Work done means energy is transferred
  • Stretching or compressing stores energy elastically in the material
  • Stiffer springs (larger k) store more energy
  • Doubling the extension quadruples the energy stored

Course overview

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