Brake or turn? Figure 6-45 depicts an overhead view of a car's path as the car travels
Question:
Brake or turn? Figure 6-45 depicts an overhead view of a car's path as the car travels toward a wall. Assume that the driver begins to brake the car when the distance to the wall is d = 107 m, and take the car's mass as m = 1400 kg, its initial speed as v0 = 35 m/s, and the coefficient of static friction as ?s = 0.50. Assume that the car's weight is distributed evenly on the four wheels, even during braking.(a) What magnitude of static friction is needed (between tires and road) to stop the car just as it reaches the wall?(b) What is the maximum possible static friction fx max?(c) If the coefficient of kinetic friction between the (sliding) tires and the road is ?k = 0.40, at what speed will the car hit the wall? To avoid the crash, a driver could elect to turn the car so that it just barely misses the wall, as shown in the figure.(d) What magnitude of frictional force would be required to keep the car in a circular path of radius d and at the given speed v0?(e) Is the required force less than, fs max so that a circular path ispossible?
Transcribed Image Text:
Car path Wall
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In Physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. In this video, the concept of force and torque is demonstrated with the practical application of changing the flat tire of the car.