A car is traveling at 50 mi/h on a straight horizontal highway. TI on the brakes to stop the car. a) When the road is dry, the coeffic road and tires is µ, = 0.6. Calculate the minimum distance (in can come to rest. b) On a rainy day, when the road is wet, th

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Chapter1: Units, Trigonometry. And Vectors
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15. A car is traveling at 50 mi/h on a straight horizontal highway. The driver suddenly slams
on the brakes to stop the car. a) When the road is dry, the coefficient of friction between
road and tires is µ, = 0.6. Calculate the minimum distance (in meters) in which the car
can come to rest. b) On a rainy day, when the road is wet, the coefficient of friction
between road and tires is µ, = 0.1. What is the minimum stopping distance (in meters)
now?
Comment: Modern cars are equipped with anti-lock braking systems (ABS). The ABS
prevents the wheels from completely locking up. When the wheels lock up completely,
they begin to slide on the road and thus experience kinetic friction. When the wheels do
not lock up completely, they experience rolling friction. In this context, rolling friction
can be approximated as static friction.
Transcribed Image Text:15. A car is traveling at 50 mi/h on a straight horizontal highway. The driver suddenly slams on the brakes to stop the car. a) When the road is dry, the coefficient of friction between road and tires is µ, = 0.6. Calculate the minimum distance (in meters) in which the car can come to rest. b) On a rainy day, when the road is wet, the coefficient of friction between road and tires is µ, = 0.1. What is the minimum stopping distance (in meters) now? Comment: Modern cars are equipped with anti-lock braking systems (ABS). The ABS prevents the wheels from completely locking up. When the wheels lock up completely, they begin to slide on the road and thus experience kinetic friction. When the wheels do not lock up completely, they experience rolling friction. In this context, rolling friction can be approximated as static friction.
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