Physics

Relativistic Kinetic Energy Calculator

Find kinetic energy at relativistic speeds.

Parameters Live Compute
Calculated Output
Kinetic energy (J) 116,313,061,026,193,200
Formula: KE = (γ − 1)·m·c²
Step-by-Step Breakdown
1. Values used:
2. Rest mass = 1
3. Velocity (fraction of c) = 0.9 c
4.
5. Kinetic energy = 116,313,061,026,193,200J
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At high speeds, kinetic energy grows far faster than the classical ½mv² predicts.

The math behind it

KE = (γ − 1)·m·c². As v approaches c, the energy needed approaches infinity.

Worked Example

1 kg at 0.9c → about 1.17 × 10¹⁷ J.

Frequently Asked Questions

Why can't we reach light speed?

It would require infinite energy for any mass.

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