Consider a 1100 kg car executing a r= 99 m radius turn that is banked upwards at an angle of θ= 19∘
(a) If the road is extremely slippery (frictionless), calculate the exact speed that the car needs in order to make the turn, in m/s.
(b) If the road against the tires has a coefficient of static friction of 0.25, what is the maximum speed that the car can have and still make the turn? (That is, any larger speed would have the car slide out of the turn)
(c) If the road against the tires has a coefficient of static friction of 0.25, what is the minimum speed that the car can have and still make the turn? (That is, any smaller speed would have the car slide into the turn)