The exit from Highway 101 to Embarca Road has a cloverleaf interchange, where cars turn around...

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The exit from Highway 101 to Embarca Road has a cloverleaf interchange, where cars turn around a banked curve of radius 45.0 m. The bank angle is 2 degrees, and the coefficient of static friction between the road and tires is 0.700. (a) What is the maximum speed at which the car can traverse the curve without slipping? Give your answer in symbolic form. (b) What is the maximum speed in mph on the banked road? (c) What is the maximum speed in mph if the road were flat (unbanked)? (d) What is the maximum speed in mph if the road were banked but if the tires lost all friction with the road? (e) This question could save your life! What if you decide to slam on the brakes while you are going around the turn? What is the maximum speed for the turn without the car slipping on the road? Assume a flat road (0= 0), = 0.7, and a braking acceleration of a = 4.6 m/s² Hint: the force of friction not only has to keep the car moving in a circle but also slow the car down. That means F = F, (-) - F, 2, where 2 is in the direction of motion tangential to the radial coordinate. The magnitude of the friction force is now Fr= √²+F2. This is why you should slow down before you enter the turn! The exit from Highway 101 to Embarca Road has a cloverleaf interchange, where cars turn around a banked curve of radius 45.0 m. The bank angle is 2 degrees, and the coefficient of static friction between the road and tires is 0.700. (a) What is the maximum speed at which the car can traverse the curve without slipping? Give your answer in symbolic form. (b) What is the maximum speed in mph on the banked road? (c) What is the maximum speed in mph if the road were flat (unbanked)? (d) What is the maximum speed in mph if the road were banked but if the tires lost all friction with the road? (e) This question could save your life! What if you decide to slam on the brakes while you are going around the turn? What is the maximum speed for the turn without the car slipping on the road? Assume a flat road (0= 0), = 0.7, and a braking acceleration of a = 4.6 m/s² Hint: the force of friction not only has to keep the car moving in a circle but also slow the car down. That means F = F, (-) - F, 2, where 2 is in the direction of motion tangential to the radial coordinate. The magnitude of the friction force is now Fr= √²+F2. This is why you should slow down before you enter the turn!

Answer rating: 100% (QA)

To answer the questions provided we need to apply the principles of circular motion and the forces involved when a car turns on a banked curve a What is the maximum speed at which the car can traverse ... View the full answer