Title: Potential Energy of a Spring Subtitle: Understanding Elastic Potential Energy Presented by: [ sagarika prusty ] Date: [01.09.2025]
What is Potential Energy? Stored energy due to an object's position or configuration Two common types: Gravitational Potential Energy Elastic Potential Energy
Applications of Spring Potential Energy Trampolines Car suspensions This Photo by Unknown Author is licensed under CC BY-SA
Mechanical watche Bow and arrow
wind-up cars
Springs and Elastic Materials Springs store energy when compressed or stretched Follow Hooke’s Law for small deformations F = - kx F : restoring force k : spring constant x : displacement from equilibrium
How Work is Done on a Spring Work is needed to stretch or compress a spring This work is stored as potential energy Directly related to the displacement of the spring
Elastic Potential Energy Formula integrating Hooke's Law Work done = ∫ F dx = ∫ kx dx Work done = Potential Energy stored Hooke’s Law explains the restoring force
Test Your Understanding What happens to the potential energy if you double the displacement? A spring has a spring constant of 100 N/m. How much energy is stored when stretched 0.2 m?