Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 6, Problem 58P
Brake or turn? Figure 6- 44 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 µs = 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 ƒs, max? (c) If the coefficient of kinetic friction between the (sliding) tires and the road is µk = 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, so that the car moves in a quarter circle and then parallel to the wall? (e) Is the required force less than ƒs, max so that a circular path is possible?
Figure 6-44 Problem 58.
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A car of mass m = 1100 kg is traveling down a θ = 14 degree incline. When the car's speed is v0 = 13 m/s, a mechanical failure causes all four of its brakes to lock. The coefficient of kinetic friction between the tires and road is μk = 0.45.
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VO
S
m
Mk
Answers:
t =
X=
D
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Chapter 6 Solutions
Fundamentals of Physics Extended
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