Erg

An erg is a unit for energy:

$\text{<mrow data-mjx-texclass="ORD"><mn>1</mn>erg</mrow>}=1\frac{\text{g}\cdot {\text{<mrow data-mjx-texclass="ORD">cm</mrow>}}^2}{{\text{s}}^2}$

This can be shown to be equal to exactly 10^-7 joules:

$\frac{\text{<mrow data-mjx-texclass="ORD"><mn>1</mn>g</mrow>}\times {\text{<mrow data-mjx-texclass="ORD"><mn>1</mn>cm</mrow>}}^2}{{\text{<mrow data-mjx-texclass="ORD"><mn>1</mn>s</mrow>}}^2}\times \frac{\text{<mrow data-mjx-texclass="ORD"><mn>1</mn>kg</mrow>}}{\text{<mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn>g</mrow>}}\times \frac{{\text{<mrow data-mjx-texclass="ORD"><mn>1</mn>m</mrow>}}^2}{{\text{<mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn><mn>0</mn>cm</mrow>}}^2}=10^{-7}\text{J}$

The erg is a miniscule amount of energy, often compared to the work it takes for a mosquito to take off.

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