First we'll start by looking at the forces acting on the car. There is the centripetal force causing the car to turn in a circle, the weight of the car and the normal force. In this case, the centripetal force is due to the friction between the car and the road. If the centripetal force is greater than the force of friction, the car won't be able to make the turn.
Mathematically this can be expressed using Newton's 2nd Law
Centripetal acceleration is equal to
Combining all of these together we get:
Looking up the value for
Plugging in what we know:
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