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  3. 3 a mountain road has turn with radius of curvature...

Question: 3 a mountain road has turn with radius of curvature...

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3) A mountain road has turn with radius of curvature of 88 m. This turn is banked (tilted) so that it is easier for cars to make the turn, even in icy conditions.

a) Assuming that the ice reduces the coefficient of friction to zero, what angle should the road
be banked to so that a car can make the turn driving at 25 mph?

b) Now a reckless thrill-seeker drives on the road in the summertime. The coefficient of friction between their tires and the road is 0.8. How fast can they take the turn without skidding? Give in mph.

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