Answer to Question #200738 in Classical Mechanics for Jake

Question

Tom is driving a car with a mass of 1100kg. He takes it to a racetrack to see how fast he can go around the corner. If there is a banked Curve of 25 degrees and the coefficient of friction between the car and the road is 0.6, what is the fastest Tom can travel?

Answer 1

$F_1=F_2,$

$F_1=\frac{mv^2}{r},$

$F_2=\mu N=\frac{\mu m g}{\cos\alpha},$

$v=\sqrt{\frac{\mu gr}{\cos \alpha}}=\sqrt{6.5r}~\frac ms.$