The spring of a spring balance is $9\mathrm{.}0$ cm long when there is no weight on the$$ balance, and it is $10\mathrm{.}5$ cm long with $6\mathrm{.}0$ N hung from the balance. How much work is done in stretching the spring from a length of $10\mathrm{.}0$ cm to $12\mathrm{.}0$cm$?$