A 1,8000-kg SUV rounds a flay (unbanked) curve with a radius of 90m. the average

Question

A 1,8000-kg SUV rounds a flay (unbanked) curve with a radius of 90m. the average coefficients of kinetic and static friction between the tire of the car and the road are static coefficient = 0.85 and kinetic coefficient = 0.65 respectively. (a) What is the net force (magnitude and direction) acting on the car when it is driving at 21.0 m/s? (b) What is the maximun driving speed for the car? (c) Which friction (static or kinetic) provides the centripetal force needed for the car to stay in the curve and is the maximum driving speed depending on the mass of the SUV?

Explanation / Answer

We can use the centripetal force mv^2/r to find the force on the car, and by setting the centripetal force equal to the maximum fricitonal force we can find the maximum velocity as follows:

So the net force on the car is 88200 N and its maximum velocity is 23.94 m/s. It's kinetic friction which provides the centripetal force since its moving.

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