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A car of mass 409 kg travels around a flat, circular race track of radius 156m. The coefficient of static friction between the wheels and track is 0.207. the acceleration of gravity is 9.9 m/s squared. What is the maximum speed v that the car can go without flying off the track. Answer in units m/s.

The same car now travels on a straight track and goes over a hill with radius of 110m 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.

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