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Relativistic Kinetic Energy Calculator

Physics
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Calculates the kinetic energy of an object moving at relativistic speeds, considering the effects of special relativity.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Rest Mass (kg) and Velocity (fraction of c) in the units shown.

Step 2

Read Lorentz Factor (γ), Speed of Light (m/s), Rest Energy (J), Total Energy (J), and Kinetic Energy (J) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Electron (v = 0.8c)

Rest Mass (kg): 0.0000000000000000000000000000009109 kg; Velocity (fraction of c): 0.8 c

Lorentz Factor (γ): 1.666666667; Speed of Light (m/s): 299,792,458 m/s; Rest Energy (J): 0.00000000000008186760923 J; Total Energy (J): 0.0000000000001364460154 J; Kinetic Energy (J): 0.00000000000005457840615 J

Proton (v = 0.6c)

Rest Mass (kg): 0.0000000000000000000000000016726 kg; Velocity (fraction of c): 0.6 c

Lorentz Factor (γ): 1.25; Speed of Light (m/s): 299,792,458 m/s; Rest Energy (J): 0.0000000001503257912 J; Total Energy (J): 0.000000000187907239 J; Kinetic Energy (J): 0.0000000000375814478 J

High Speed (v = 0.99c)

Rest Mass (kg): 1 kg; Velocity (fraction of c): 0.99 c

Lorentz Factor (γ): 7.08881205; Speed of Light (m/s): 299,792,458 m/s; Rest Energy (J): 89,875,517,870,000,000 J; Total Energy (J): 637,110,654,100,000,000 J; Kinetic Energy (J): 547,235,136,200,000,000 J

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