Question $17(3\mathrm{.}5$ points$)$

A $1\mathrm{.}20{10}^3-kg$ truck rounds an unbanked curve on the highway at a speed of $20\mathrm{.}0\frac{m}{s}.$ If the maximum frictional force between the surface of the road and all four of the tires is$,7\mathrm{.}00{10}^{3}N,$ calculate the minimum radius of curvature $r_{\text{m}\text{i}\text{n}}$ for the curve to prevent the truck from skidding off the road.

$1330$ m

$68\mathrm{.}6$ m

$2330$ m

$78\mathrm{.}2$ m