GCSE Combined Science (AQA)

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Calculating Elastic Potential Energy

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Forces Forces and elasticity

Calculating Elastic Potential Energy

2:13 Elastic Potential Energy
Spec 4.1.1.1 4.1.1.2 4.5.3
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  • Elastic potential energy in a spring is calculated using its extension and spring constant.
  • Elastic potential energy is stored during deformation due to work done and becomes kinetic energy when released.
  • The formula for elastic potential energy: \( \text{E}_e = \frac{1}{2} k e^2 \).
  • The spring constant (k) represents the proportionality between force and extension.
  • The equation applies to springs before their limit of proportionality.
  • Elastic potential energy is measured in joules, the spring constant in newtons per meter, and extension in meters.
  • This equation is used in exams to calculate elastic potential energy.
  • Example: A catapult with a spring constant of 15 kN/m and compressed by 0.8 meters.
  • Convert spring constant to 15,000 N/m for calculations.
  • Calculate energy using the formula: \( \text{E}_e = \frac{1}{2} \times 15,000 \times (0.8)^2 \).
  • Result: 4,800 joules of elastic potential energy.

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