Calculadora de Energia Potencial Elástica
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
U = ½·k·x²
About this calculator
The Elastic Potential Energy Calculator determines the energy stored in a spring or elastic material when deformed. The formula used is U = ½ * k * x², where U is the elastic potential energy (in joules), k is the spring constant (in N/m), and x is the deformation (in meters). The energy is proportional to the square of the deformation, meaning the more you stretch or compress the spring, the greater the stored energy.
This tool is useful in various contexts, such as mechanical engineering for designing damping systems, in toys that use springs (like slingshots or toy cars), and in physics experiments to demonstrate energy conservation. For example, calculating the energy stored in a vehicle's suspension spring helps evaluate the system's behavior under load.
Important precautions: the formula assumes the spring obeys Hooke's Law (deformation proportional to force) and that there is no permanent deformation. Make sure to use consistent units: the spring constant must be in N/m and deformation in meters. Also, note that elastic potential energy is always positive, regardless of whether the spring is compressed or stretched.
Frequently asked questions
What is elastic potential energy?
It is the energy stored in an elastic object (like a spring) when it is deformed by stretching or compressing. The greater the deformation or the stiffer the spring, the more energy is stored.
How do I calculate the elastic potential energy of a spring?
Use the formula U = ½ * k * x², where k is the spring constant (in N/m) and x is the deformation (in meters). Multiply 0.5 by the constant and the square of the deformation.
What units should I use for the spring constant and deformation?
The spring constant (k) must be in newtons per meter (N/m) and deformation (x) in meters (m). The result will be in joules (J), the SI unit of energy.
Can elastic potential energy be negative?
No, elastic potential energy is always positive because it depends on the square of the deformation. Whether the spring is compressed or stretched, x² is positive.
Does this calculator work for springs that do not follow Hooke's Law?
No, it assumes the spring obeys Hooke's Law (linear deformation). For nonlinear springs, the formula is not valid and a more complex model would be needed.