Elastic Potential Energy (Edexcel GCSE Combined Science: Physics): Revision Note

Elastic Potential Energy

• When a spring is stretched or compressed by a force, work is done by the spring

• Work done is the transfer of energy

  • The energy is transferred to its elastic potential energy store

When a spring is stretched or compressed, there is work done and elastic potential energy is stored

• Elastic potential energy is defined as:

  The energy stored in an elastic object when work is done on the object

• Provided the spring is not inelastically distorted (i.e has not exceeded its limit of proportionality), the work done on the spring and its elastic potential energy stored are equal

• The work done, or the elastic potential energy stored, while stretching or compressing a spring can be calculated using the equation:

E = ½ kx²

• Where:

  • E = elastic potential energy (energy transferred in stretching) in joules (J)

  • k = spring constant in newtons per metre (N/m)

  • x = extension in metres (m)

The elastic potential energy in a stretched spring depends on its spring constant and extension

• This equation is only for springs that have not been stretched beyond their limit of proportionality

  • The term x² means that if the extension is doubled then the work done is quadrupled

  • This is because 2² = 4