Energia Cinética (γ−1)mc²
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The (γ−1)mc² Kinetic Energy calculator is an online tool that allows calculating the kinetic energy of particles moving at speeds close to the speed of light. Kinetic energy is a measure of the energy associated with an object's motion. In the context of Einstein's special relativity theory, the kinetic energy of a particle is given by the formula K = (γ−1)mc², where γ is the Lorentz factor, m is the particle's mass, and c is the speed of light in a vacuum.
The Lorentz factor, γ, is a dimensionless quantity that describes the degree of relativity of a particle. It is defined as γ = 1 / sqrt(1 - v²/c²), where v is the particle's velocity. The closer the particle's velocity is to the speed of light, the greater the value of γ. The kinetic energy is then calculated as K = (γ−1)mc², which represents the energy associated with the particle's motion.
This calculator is useful in cases where it is necessary to calculate the kinetic energy of high-energy particles, such as in particle accelerators or astrophysical phenomena. However, it is essential to be careful with the units used and ensure that the input values are consistent with the expected units. Additionally, it is crucial to remember that special relativity theory only applies to particles moving at speeds close to the speed of light.
When using this calculator, it is essential to consider the common precautions related to the precision of the input values and the limitations of special relativity theory. Furthermore, it is vital to understand the context in which the kinetic energy is calculated and ensure that the results are correctly interpreted.
Frequently asked questions
What is the Lorentz factor (γ)?
The Lorentz factor is a dimensionless quantity that describes the degree of relativity of a particle. It is defined as γ = 1 / sqrt(1 - v²/c²), where v is the particle's velocity and c is the speed of light in a vacuum.
What is the difference between classical and relativistic kinetic energy?
Classical kinetic energy is given by the formula K = (1/2)mv², while relativistic kinetic energy is given by the formula K = (γ−1)mc². Relativistic kinetic energy takes into account the effects of Einstein's special relativity theory.
When to use the (γ−1)mc² Kinetic Energy calculator?
Use this calculator when you need to calculate the kinetic energy of particles moving at speeds close to the speed of light, such as in particle accelerators or astrophysical phenomena.
What are the expected units for the input values?
The expected units are: mass (m) in kg, velocity (v) in m/s, and speed of light (c) in m/s. Make sure that the input values are consistent with these units.