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physics

Mass-Energy Equivalence Calculator

Convert any mass into its equivalent rest energy using Einstein’s E = m·c².

Rest Energy
89,875,517,873,681.77 J
E = m·c² where c = 3×10⁸ m/s.
Energy (kWh)
24,965,421.6316 kWh
Kilotons of TNT
21.4808 kt

How it works

  1. 1Enter the mass in kilograms (metric) or pounds (imperial) — the toggle switches unit systems.
  2. 2The calculator converts your input to kg and applies E = m·c², where c = 299,792,458 m/s.
  3. 3Results appear in joules, kilowatt-hours, and kilotons of TNT to convey the enormous scale.

Use cases

  • Physics students exploring special relativity and mass–energy equivalence.
  • Science communicators illustrating how much energy is locked inside ordinary matter.
  • Researchers estimating theoretical energy yields in nuclear or particle physics.

Frequently asked questions

What is the formula used?

Einstein’s mass–energy equivalence: E = m·c², where m is mass in kilograms and c is the speed of light (≈ 3×10⁸ m/s). The result E is in joules.

How much energy is in a tiny mass?

The amounts are staggering. Just 1 gram (0.001 kg) converts to E = 0.001 × (3×10⁸)² ≈ 9×10¹³ J — roughly 21.5 kilotons of TNT. This is why nuclear reactions, which convert only a tiny fraction of mass, release so much energy.

Does this apply to everyday objects?

Yes — every object has rest energy m·c². But extracting it requires matter–antimatter annihilation or similar exotic processes. Chemical reactions convert only about one part in ten billion of the mass-energy, which is why E = m·c² matters for nuclear physics, not burning a log.

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