The kinetic energy of a moving object is given by the formula $E_k = \frac{1}{2}mv^2$. If mass $m$ is measured in grams and velocity $v$ is measured in centimeters per second, the energy is measured in ergs. How many ergs are equal to $1\text{ Joule}$? (Note that $1\text{ Joule} = 1\text{ kilogram} \cdot \frac{\text{meter}^2}{\text{second}^2}$, $1\text{ kilogram} = 1000\text{ grams}$, and $1\text{ meter} = 100\text{ centimeters}$)