E = mc² Calculator — Mass to Energy
Convert any mass into its equivalent rest energy using E = mc², with step-by-step working and comparisons to familiar energy scales like TNT and the Hiroshima bomb.
Einheit
Energy if all mass were fully converted — E = mc²
Convert mass to kilograms
Multiply by c² (≈ 8.9876 × 10¹⁶ J/kg)
Rest energy E = mc²
- 1
Convert to kilograms
1 g × 0.001 = 0,001 - 2
Rest energy E = m × c²
0,001 kg × 8.9876 × 10¹⁶ J/kg = 89.875.517.873.681,7700c² ≈ 8.9876 × 10¹⁶ J/kg — the exact value of (299 792 458 m/s)².
Wie funktioniert dieser Rechner?
E = mc² converts mass to energy by multiplying kilograms by c² ≈ 9 × 10¹⁶. Just 1 gram stores roughly 9 × 10¹³ J — about 21 kilotons of TNT. Real nuclear reactions convert only a fraction. Enter any mass in kg, g, lb or oz to see the step-by-step calculation and energy comparisons.
Formel
How this is calculated
Einstein's special relativity establishes that mass and energy are interconvertible, linked by E = mc² where c is the exact speed of light (299,792,458 m/s). Because c² is about 8.99 × 10¹⁶ J/kg, even a small mass stores an enormous energy: 1 gram stores roughly 9 × 10¹³ J, equivalent to about 21 kilotons of TNT. The calculator converts your input to kilograms using exact factors (1 g = 10⁻³ kg; 1 lb = 0.45359237 kg; 1 oz = 0.02834952 kg), multiplies by c² to get the result in joules, then converts to kilowatt-hours (1 kWh = 3.6 × 10⁶ J), tons of TNT (1 ton = 4.184 × 10⁹ J) and Hiroshima bomb equivalents (≈ 6.3 × 10¹³ J).
The step-by-step panel shows each intermediate stage — the unit conversion, the c² multiplication and the final energy — so you can verify the arithmetic at every stage. This is valuable for physics students checking worked examples and for anyone wanting to understand where the large numbers come from.
The value computed is the total rest energy assuming complete mass-to-energy conversion, a theoretical maximum. Real nuclear processes convert only a fraction: fission about 0.1 %, fusion about 0.7 %, and matter–antimatter annihilation the full 100 %. This calculator does not model partial or partial-efficiency conversions.
Häufige Fragen
Because c² ≈ 9 × 10¹⁶ m²/s². Even 1 gram (0.001 kg) multiplied by this factor gives roughly 9 × 10¹³ joules — the explosive yield of a nuclear weapon. The speed of light is already huge; squaring it makes the factor astronomical.
Only in principle. E = mc² gives the theoretical maximum if all mass were converted. Fission converts about 0.1 % of the fissile mass, fusion about 0.7 %. Full conversion requires matter–antimatter annihilation, which demands antimatter.
The exact defined value: c = 299,792,458 m/s, giving c² = 8.987551787 × 10¹⁶ J/kg exactly.
Auch bekannt als
TG we-Calculate Editorial Team. (2026). E = mc² Calculator — Mass to Energy [Online calculator]. TG we-Calculate. https://we-calculate.com/de/calculator/emc2-calculator
TG we-Calculate Editorial Team. "E = mc² Calculator — Mass to Energy." TG we-Calculate. 2026. https://we-calculate.com/de/calculator/emc2-calculator.
TG we-Calculate Editorial Team, "E = mc² Calculator — Mass to Energy," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/de/calculator/emc2-calculator
@misc{wecalculate_emc2_calculator, title = {E = mc² Calculator — Mass to Energy}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/de/calculator/emc2-calculator}}, year = {2026}, note = {TG we-Calculate} }
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