007 (part 1 of 2) A car of mass 691 kg travels around a flat, circular race trac

Question

007 (part 1 of 2) A car of mass 691 kg travels around a flat, circular race track of radius 143 m. The coefficient of static friction between the wheels and the track is 0.186. The acceleration of gravity is 9.8 m/s^2. What is the maximum speed v that the car can go without flying off the track? Answer in units of m/s. 008 (part 2 of 2) The same car now travels on a straight track and goes over a bill with radius 145 in at the top. What is the maximum speed that the car can go over the hill without leaving the road? Answer in units of m/s.

Explanation / Answer

For circular motion centripetal force= friction

so, mv2/r= 0.186 mg

v= 16.14 m/s

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