E = mc² Calculator
One gram of mass is equivalent to 89875500000000 J of energy, from E = mc², about the energy of 21.5 kilotonnes of TNT.
89875517873681.8 J
- In kJ
- 89875517870 kJ
- In MJ
- 89875517.87 MJ
- In cal
- 21480764310000 cal
- In kcal
- 21480764310 kcal
- In Wh
- 24965421630 Wh
- TNT equivalent (1 t TNT = 4.184 GJ)
- 21480.76431 t TNT
- In MeV
- 5.609588604 × 10²⁶ MeV
- c (exact)
- 299,792,458 m/s
Step-by-step solution
- E = m × c²
- E = 0.001 × c²
- E = 89875517870000 J
E = mc² Formula
E = m c²
E energy (J), m mass (kg), c = 299,792,458 m/s exactly
Worked Example
Converting 1 gram of mass entirely into energy:
- E = m × c²
- E = 0.001 × c²
- E = 89875517870000 J
In MJ: 89875517.87 MJ · In cal: 21480764310000 cal · In kcal: 21480764310 kcal · In Wh: 24965421630 Wh · TNT equivalent (1 t TNT = 4.184 GJ): 21480.76431 t TNT · In MeV: 5.609588604 × 10²⁶ MeV · c (exact): 299,792,458 m/s
Atomic mass unit
One unified atomic mass unit (1 u = 1.66054 × 10⁻²⁷ kg) is equivalent to 931.494 MeV, the conversion nuclear physicists use for reaction energies.
More Modern Physics Calculators
-
Photon Energy Calculator
E = h f = h c / λ
h = 6.62607015 × 10⁻³⁴ J·s, c = 299,792,458 m/s (both exact), f frequency, λ wavelength
Example: A photon of green light with a wavelength of 500 nm: Photon energy E = 2.47968 eV.
-
Half-Life Calculator
N = N₀ (½)^(t / T½)
N amount left, N₀ initial amount, t elapsed time, T½ half-life; λ = ln 2 / T½
Example: 100 g of carbon-14 (half-life 5730 years) after 11,460 years: Amount remaining N = 25.
-
de Broglie Wavelength Calculator
λ = h / p = h / (m v) = h / √(2 m K)
h Planck constant, p momentum, m mass, v speed, K kinetic energy (= qV after acceleration through V volts)
Example: An electron accelerated from rest through 100 V: de Broglie wavelength λ = 0.122643 nm.
Frequently asked questions
Does a nuclear reactor turn all its fuel into energy?
No. Fission releases about 0.09 % of the fuel’s mass as energy, and fusion about 0.7 %. Only matter–antimatter annihilation converts all of it.
What is the mass defect?
A nucleus weighs less than its separate protons and neutrons. The missing mass times c² is the binding energy released when it forms.
Sources
- CODATA Recommended Values of the Fundamental Physical Constants: 2018, National Institute of Standards and Technology .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). E = mc² Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/mass-energy-equivalence-calculator/
IEEE
Scientific Converters, "E = mc² Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/mass-energy-equivalence-calculator/