Erg to Megajoule

Astrophysics literature built decades of reference data in CGS units before SI became dominant. Key constants like solar luminosity (3.828 × 10³³ erg/s) and supernova energy (10⁵¹ erg, called a "foe") are baked into textbooks and databases. Switching to SI would require rewriting thousands of reference values, so the field maintains CGS by convention.

A core-collapse supernova releases roughly 3 × 10⁵³ ergs total, of which about 99% escapes as neutrinos. The visible light and kinetic energy of the ejected shell account for about 10⁵¹ ergs — a unit so common in astrophysics it has its own name: one "foe" (ten to the Fifty-One Ergs). In joules, that is 10⁴⁴ J, or the Sun's total output over 10 billion years.

An erg per second is the CGS unit of power, equivalent to 10⁻⁷ watts. Astronomers quote stellar luminosities in ergs per second because the numbers align well with astrophysical scales: the Sun emits 3.846 × 10³³ erg/s, and supernovae peak at ~10⁴³ erg/s. Using watts would give the same exponents minus seven — less tidy for a field that already juggles 40-digit numbers daily.

CGS (centimeter-gram-second) is a metric system that predates SI, formalised in the 1870s. It derives mechanical units from cm, g, and s: force in dynes (g·cm/s²) and energy in ergs (dyne·cm). CGS was standard in physics until the mid-20th century, and its Gaussian variant remains preferred in electromagnetism and astrophysics because Maxwell's equations take a simpler form.

One erg is 10⁻⁷ joules — roughly the kinetic energy of a mosquito in flight or the energy of a single grain of sand falling one centimeter. You would need about 10 million ergs to equal one joule, or 42 billion ergs to match the energy in a single dietary Calorie. The erg is useful precisely because atomic and astronomical quantities span so many orders of magnitude.

About 34.2 MJ per liter (roughly 131 MJ per US gallon). Diesel is slightly higher at ~38.6 MJ/L. This energy density is why fossil fuels remain hard to replace — a Tesla Model 3 battery weighing 480 kg stores about 216 MJ, while 6 liters of petrol (roughly 4.5 kg) store the same energy content.

Natural gas is sold by energy content rather than volume because the heating value per cubic meter varies with gas composition. In Australia, billing is in MJ; in the UK and US, it is in therms or kWh. One cubic meter of pipeline-quality natural gas holds about 38–39 MJ. Using megajoules lets suppliers and customers compare across different gas sources fairly.

A 1,500 kg car at 110 km/h (about 30.6 m/s) carries ½ × 1500 × 30.6² ≈ 0.70 MJ of kinetic energy. Double the speed and the energy quadruples to 2.8 MJ. This is why highway crashes are so much more destructive than city collisions — and why braking distance scales with the square of speed.

One kilowatt-hour equals exactly 3.6 megajoules (1,000 W × 3,600 s = 3,600,000 J). This conversion pops up constantly in energy-sector work: a power plant producing 1,000 MWh per day delivers 3,600,000 MJ. The 3.6 factor is worth memorising for anyone comparing electrical and thermal energy.

A typical US home uses about 30 kWh/day of electricity (108 MJ) plus another 100–200 MJ of natural gas for heating and hot water — so roughly 200–300 MJ total. A well-insulated European passive house might get by on 50–70 MJ/day. Solar panels on a rooftop generate about 15–25 MJ per panel per day depending on location.