$($a$)$ Calculate Earth$$s mass given the acceleration due to gravity at the North Pole is $9\mathrm{.}830$ m$/$s$29\mathrm{.}830$ m$/$s$2$ and the radius of the Earth is $6371$ km from center to pole.

$($b$)$ Compare this with the accepted value of $5\mathrm{.}9791024$kg$5\mathrm{.}9791024$kg$.$