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 = 1410 kg, its initial speed as vo = 38.0 m/s, and the coefficient of static friction as μ = 0.530. 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 = 0.440, 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 Units Units Units Units Car path Wall

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 = 1410 kg, its initial speed as vo = 38.0 m/s, and the coefficient of static friction as μ = 0.530. 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 = 0.440, 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 Units Units Units Units Car path Wall

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 10PQ: A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large...

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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

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 = 1410 kg, its initial speed as v₁ = 38.0 m/s, and
the coefficient of static friction as µ = 0.530. 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 = 0.440,
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
(b) Number
(c) Number
(d) Number
M.
IN
D
Units
Units
Units
Units
Car path
Wall

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