Kinetic Energy (Relativistic)

📊 advanced

$$K = (\gamma - 1)mc^2$$

Calculates kinetic energy when speeds approach the speed of light.

Variables & Units

$\gamma$

Lorentz factor

Unit: Dimensionless

$m$

Rest mass

Unit: Kilogram ($kg$)

Key Information

📐 Derived From

Difference between total energy and rest mass energy.

💡 Example

Kinetic energy of a proton in a particle accelerator.

🔧 Applications

High-energy physics and cosmic ray studies.

⚠️ Constraints

Approaches $1/2 mv^2$ at low speeds.

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