Physics

Problem

A race car negotiates a curve of radius

r = 80\,\text{m}

banked at

\theta = 37^{\circ}

. The track surface offers a high coefficient of static friction

\mu = 0.5

. Determine the maximum speed the car can have without skidding outwards. (Take

\tan 37^{\circ} = 0.75

g = 10\,\text{m/s}^{2}