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With its tires on the verge of slipping, a certain vehicle moves at a constant 50.0 mph as it rounds a horizontal unbanked curve that has a radius of curvature of 0.100 km. What is the maximum speed in mph with which this car can safely round a second horizontal unbaked curve of radius 0.150 km if the coefficient of static friction (us) between this vehicle's tires and the road surface is the same in both cases? Although this is a multiple-choice question that you will answer on Bb and I will not be collecting the details of your work, I urge you to follow the steps outlined below to solve it. We will do the FBD of the car together in class before the problem is due. NB: 1609 m = 1 mile. (a) Use the GFS method to show and explain each step of your work. (b) Draw a sketch of this vehicle rounding an unbanked curve. Next, draw and label the FBD of this vehicle rounding an unbanked curve. Your FBD must include all the external forces acting on the vehicle. Each external force must be represented by an arrow that is properly labeled. Be sure to show explicitly the x and y coordinate system you will use. We will do this part of the problem together in class. (c) Clearly and neatly write Newton's standard Second Law equations for when the vehicle is rounding the first curve. Be sure to use standard variables that clearly associate these equations with the first curve (e.g., v1 and r1). Next, simplify these equations using the Given information and then solve for the coefficient of static friction (us) to three significant figures. (d) Modify the Second Law equation you obtained in part (c) for the first curve so that it now uses standard variables that represent the second curve (e.g., v2 and r2). Next, solve for v2, being sure to express your answer in mph to three significant figures. 38.0 mph 32.4 mph 61.1 mph 18.0 mph 43.0 mph

With its tires on the verge of slipping, a certain vehicle moves at a constant 50.0 mph as it rounds a horizontal unbanked curve that has a radius of curvature of 0.100 km. What is the maximum speed in mph with which this car can safely round a second horizontal unbaked curve of radius 0.150 km if the coefficient of static friction (us) between this vehicle's tires and the road surface is the same in both cases? Although this is a multiple-choice question that you will answer on Bb and I will not be collecting the details of your work, I urge you to follow the steps outlined below to solve it. We will do the FBD of the car together in class before the problem is due. NB: 1609 m = 1 mile. (a) Use the GFS method to show and explain each step of your work. (b) Draw a sketch of this vehicle rounding an unbanked curve. Next, draw and label the FBD of this vehicle rounding an unbanked curve. Your FBD must include all the external forces acting on the vehicle. Each external force must be represented by an arrow that is properly labeled. Be sure to show explicitly the x and y coordinate system you will use. We will do this part of the problem together in class. (c) Clearly and neatly write Newton's standard Second Law equations for when the vehicle is rounding the first curve. Be sure to use standard variables that clearly associate these equations with the first curve (e.g., v1 and r1). Next, simplify these equations using the Given information and then solve for the coefficient of static friction (us) to three significant figures. (d) Modify the Second Law equation you obtained in part (c) for the first curve so that it now uses standard variables that represent the second curve (e.g., v2 and r2). Next, solve for v2, being sure to express your answer in mph to three significant figures. 38.0 mph 32.4 mph 61.1 mph 18.0 mph 43.0 mph

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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With its tires on the verge of slipping, a certain vehicle moves at a constant 50.0 mph as it rounds a horizontal unbanked curve that has a radius of curvature of 0.100 km. What is the maximum speed in mph with which this car can safely round a second horizontal unbaked curve of radius 0.150 km if the coefficient of static friction (us) between this vehicle's tires and the road surface is the same in both cases? Although this is a multiple-choice question that you will answer on Bb and I will not be collecting the details of your work, I urge you to follow the steps outlined below to solve it. We will do the FBD of the car together in class before the problem is due. NB: 1609 m = 1 mile. (a) Use the GFS method to show and explain each step of your work. (b) Draw a sketch of this vehicle rounding an unbanked curve. Next, draw and label the FBD of this vehicle rounding an unbanked curve. Your FBD must include all the external forces acting on the vehicle. Each external force must be represented by an arrow that is properly labeled. Be sure to show explicitly the x and y coordinate system you will use. We will do this part of the problem together in class. (c) Clearly and neatly write Newton's standard Second Law equations for when the vehicle is rounding the first curve. Be sure to use standard variables that clearly associate these equations with the first curve (e.g., v1 and r1). Next, simplify these equations using the Given information and then solve for the coefficient of static friction (us) to three significant figures. (d) Modify the Second Law equation you obtained in part (c) for the first curve so that it now uses standard variables that represent the second curve (e.g., v2 and r2). Next, solve for v2, being sure to express your answer in mph to three significant figures. 38.0 mph 32.4 mph 61.1 mph 18.0 mph 43.0 mph
Transcribed Image Text:With its tires on the verge of slipping, a certain vehicle moves at a constant 50.0 mph as it rounds a horizontal unbanked curve that has a radius of curvature of 0.100 km. What is the maximum speed in mph with which this car can safely round a second horizontal unbaked curve of radius 0.150 km if the coefficient of static friction (us) between this vehicle's tires and the road surface is the same in both cases? Although this is a multiple-choice question that you will answer on Bb and I will not be collecting the details of your work, I urge you to follow the steps outlined below to solve it. We will do the FBD of the car together in class before the problem is due. NB: 1609 m = 1 mile. (a) Use the GFS method to show and explain each step of your work. (b) Draw a sketch of this vehicle rounding an unbanked curve. Next, draw and label the FBD of this vehicle rounding an unbanked curve. Your FBD must include all the external forces acting on the vehicle. Each external force must be represented by an arrow that is properly labeled. Be sure to show explicitly the x and y coordinate system you will use. We will do this part of the problem together in class. (c) Clearly and neatly write Newton's standard Second Law equations for when the vehicle is rounding the first curve. Be sure to use standard variables that clearly associate these equations with the first curve (e.g., v1 and r1). Next, simplify these equations using the Given information and then solve for the coefficient of static friction (us) to three significant figures. (d) Modify the Second Law equation you obtained in part (c) for the first curve so that it now uses standard variables that represent the second curve (e.g., v2 and r2). Next, solve for v2, being sure to express your answer in mph to three significant figures. 38.0 mph 32.4 mph 61.1 mph 18.0 mph 43.0 mph
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