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sci.relativistic-kinetic-energy Calculator
Calculates relativistic kinetic energy KE = (γ − 1)mc², where γ = 1/√(1−v²/c²), replacing the classical ½mv² at high speeds. At v = 0.9c, γ = 2.29 — relativistic KE is 130% higher than classical prediction.
Inputs
Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Speed Fraction C
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Results
Lorentz factor gamma
A dimensionless multiplier applied in the calculation.
relativistic KE (J)
The value at the specified point or condition.
classical KE (J)
The classification assigned based on the computed value.
relativistic momentum (kg·m/s)
Product of mass and velocity (kg·m/s). Conserved in all collisions — total momentum before equals total after. More mass or more speed makes stopping harder.
KE = (γ-1)mc²
Reference formula or conversion factor shown for context.