Flying Circus of Physics Brake or turn? The figure 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 = 109 m, and take the car's mass as m = 1430 kg, its initial speed as vo = 39.0 m/s, and the coefficient of static friction as μ = 0.500. Assume that the car's weight is distributed evenly on the four wheels, even during braking. (a) What magnitude of frictional force is needed (between tires and road) to stop the car just as it reaches the wall? (b) What is the maximum possible static friction fs, max? (c) If the coefficient of kinetic friction between the (sliding) tires and the road is uk = 0.410, 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 vo? (a) Number i (b) Number i (c) Number i (d) Number i Car path Units Units Units Units Wall

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
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Flying Circus of Physics Brake or turn? The figure 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=109 m, and take the car's mass as m=1430 kg, its initial speed as v0=39.0 m/s, and the coefficient of static friction as μS=0.500. Assume that the car's weight is distributed evenly on the four wheels, even during braking. (a) What magnitude of frictional force is needed (between tires and road) to stop the car just as it reaches the wall? (b) What is the maximum possible static friction fS, max? (c) If the coefficient of kinetic friction between the (sliding) tires and the road is μk=0.410, 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? (a) Number Units (b) Number Units (c) Number Units (d) Number i Units

Flying Circus of Physics
Brake or turn? The figure 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 = 109 m, and take the car's mass as m = 1430 kg, its initial
speed as vo = 39.0 m/s, and the coefficient of static friction as μ = 0.500. Assume that the car's weight is distributed
evenly on the four wheels, even during braking. (a) What magnitude of frictional force is needed (between tires and
road) to stop the car just as it reaches the wall? (b) What is the maximum possible static friction fs, max? (c) If the
coefficient of kinetic friction between the (sliding) tires and the road is uk = 0.410, 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 vo?
(a) Number
i
(b) Number i
(c) Number i
(d) Number i
Car path
Units
Units
Units
Units
Wall
Transcribed Image Text:Flying Circus of Physics Brake or turn? The figure 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 = 109 m, and take the car's mass as m = 1430 kg, its initial speed as vo = 39.0 m/s, and the coefficient of static friction as μ = 0.500. Assume that the car's weight is distributed evenly on the four wheels, even during braking. (a) What magnitude of frictional force is needed (between tires and road) to stop the car just as it reaches the wall? (b) What is the maximum possible static friction fs, max? (c) If the coefficient of kinetic friction between the (sliding) tires and the road is uk = 0.410, 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 vo? (a) Number i (b) Number i (c) Number i (d) Number i Car path Units Units Units Units Wall
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