A $2\mathrm{.}25$ kg solid, uniform disk rolls without slipping across a level surface, translating at $3\mathrm{.}50$ m$/$s$.$ If the disk's radius is $0\mathrm{.}230$ m$,$ find the following.

HINT

$($a$)$

the disk's translational kinetic energy $($in J$)$

J

$($b$)$

the disk's rotational kinetic energy $($in J$)$

J