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Relativistic Kinetic Energy Calculator

This calculator is designed for physics students and professionals who need to compute the kinetic energy of a particle moving at relativistic speeds. By entering the mass and velocity, you can determine the kinetic energy using Einstein’s relativistic formula.

Relativistic Kinetic Energy: 0 J

Data Source and Methodology

All calculations are rigorously based on the principles outlined in Einstein's Theory of Special Relativity. For more detailed information, refer to this Wikipedia article.

The Formula Explained

\[ KE = (\gamma - 1) \cdot m \cdot c^2 \] where \(\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\)

Glossary of Terms

  • Mass (m): The mass of the object in kilograms.
  • Velocity (v): The velocity of the object in meters per second.
  • Speed of Light (c): Approximately \(3 \times 10^8\) m/s.
  • Relativistic Kinetic Energy (KE): The energy of the object due to its motion at relativistic speeds.

How It Works: A Step-by-Step Example

Consider an object with a mass of 1 kg moving at 250,000,000 m/s. Using the formula, you can calculate its relativistic kinetic energy.

Frequently Asked Questions (FAQ)

Why does kinetic energy increase with speed?

As an object moves faster, it gains more energy due to its motion, which is reflected in its kinetic energy.

What is the significance of relativistic kinetic energy?

Relativistic kinetic energy becomes significant when dealing with speeds approaching the speed of light, where traditional Newtonian physics no longer apply.

Tool developed by Ugo Candido. Content reviewed by the PhysicsCalculatorDomain Expert Team.
Last reviewed for accuracy on: October 15, 2023.

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