As a city planner, you receive complaints from local residents about the safety of nearby roads...

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Physics

As a city planner, you receive complaints from local residentsabout the safety of nearby roads and streets. One complaintconcerns a stop sign at the corner of Pine Street and 1st Street.Residents complain that the speed limit in the area (55 mph) is toohigh to allow vehicles to stop in time. Under normal conditionsthis is not a problem, but when fog rolls in visibility can reduceto only 155 ft. Since fog is a common occurrence in this region,you decide to investigate. The state highway department states thatthe effective coefficient of friction between a rolling wheel andasphalt ranges between 0.689 and 0.770, whereas the effectivecoefficient of friction between a skidding (locked) wheel andasphalt ranges between 0.450 and 0.617. Vehicles of all typestravel on the road, from small VW bugs weighing 1070 lb to largetrucks weighing 8550 lb. Considering that some drivers will brakeproperly when slowing down and others will skid to stop, calculatethe minimum and maximum braking distance needed to ensure that allvehicles traveling at the posted speed limit can stop beforereaching the intersection. minimum braking distance: ft maximumbraking distance: ft Given that the goal is to allow all vehiclesto come safely to a stop before reaching the intersection,calculate the maximum desired speed limit. maximum speed limit: mphWhich factors affect the soundness of your decision? Precipitationfrom the fog can lower the coefficients of friction. Newton'ssecond law does not apply to this situation. Drivers cannot beexpected to obey the posted speed limit. Reaction time of thedrivers is not taken into account.

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3.6 Ratings (420 Votes)
Given Rolling friction coefficient range is 0689 0770 Skidding friction range is 0450 0617 Visibility length 155 ft 47244 m Initial speed u 55 mph 24585 ms Solution F ma Since in our case friction is the one force acting on the car mg ma a    See Answer
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