You are advisor to a race car team. Their car is going around an unbanked race track that has a variety

of curves in it. The coefficient of friction of the tires is 0.4, meaning that 0.4 mg is the maximum force the tires can exert on the car. They ask you to tell them what is the maximum speed they should drive the car around the sharpest curve which has a nearly circular arc with a radius of curvature r = 50m.

Show a visual representation of the forces.