An erg is the amount of work done by a force of one dyne exerted for a distance of one centimeter. In the CGS base units, it is equal to one gram centimeter-squared per second-squared
And joule is SI unit of work done or energy equals work done by force of 1N for a displacement of 1m.
So converting cgs to SI unit.
1erg=10−3N×(10−2m)2×1s=10−7J.
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