The unbanked arc $($flat$)$ of a turn on a race track has a radius of $220$ m$.$ If the race cars have masses of $1,029$ kg$.$ The track is designed so that the maximum speed is $25\mathrm{.}32$ m$/$s$.$ What is the minimum coefficient of friction μ between the track and the tires? To the nearest $0\mathrm{.}01$ s $($ use $10$ m$/\mathrm{s\; 2}$ for gravity$)$ .