Answer to Question #200738 in Classical Mechanics for Jake

Question #200738

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?


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Expert's answer
2021-05-31T17:17:18-0400

F1=F2,F_1=F_2,

F1=mv2r,F_1=\frac{mv^2}{r},

F2=μN=μmgcosα,F_2=\mu N=\frac{\mu m g}{\cos\alpha},

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


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