A $150$ kg disk on a frictionless surface experiences a force of $100$ N $.$ If it starts its motion from rest and rolls with no slip, the angular velocity after five rotations will be given by: $($Take the radius of gyration of about its mass center as $k_G=0\mathrm{.}5m)$

$($A$)9\mathrm{.}33ra\frac{d}{s}$

$($B$)5\mathrm{.}39ra\frac{d}{s}$

$($C$)14\mathrm{.}85ra\frac{d}{s}$

$($D$)1\mathrm{.}27ra\frac{d}{s}$