College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Textbook Question
Chapter 5, Problem 65GP
Designing a banked roadway You need to design a banked curve for a highway in which cars make a
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Students have asked these similar questions
A circular curve of highway is designed for traffic moving at 60 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 150 m, what is the correct angle of banking of the road? (b) If the curve were not banked, what would be the minimum coefficient of friction between tires and road that would keep traffic from skidding out of the turn when traveling at 60 km/h?
A car rounds an unbanked curve of radius 60 m. If the coefficient of static friction between the road and car is 0.66, then answer the following questions. a) what force provides centripetal force? -weight of the car
-normal force on the car from the road
-force of static friction
b) what is the maximum speed at which the car transverse the curve without slipping? V max = m/s
A civil engineer designs a banked road that needs to have a curvature of 38 meters. If the angle is designed to be 18 degrees
a) calculate the speed (in m/s and in mph) at which the car must go in order not to skid even on icy conditions.
b) If the speed is required to be lower, should the road be banked at higher or lower angle? Explain.
Chapter 5 Solutions
College Physics
Ch. 5 - Review Question 5.1 How do we know that the sum of...Ch. 5 - Review Question 5.2 Why is it true that when an...Ch. 5 - Review Question 5.3 Show that the two expressions...Ch. 5 - Review Question 5.4 Think back to Example 5.5 ...Ch. 5 - Review Question 5.5 A friend says he has heard...Ch. 5 - Which of the objects below is accelerating? Object...Ch. 5 - The circle in Figure Q5.2 represents the path...Ch. 5 - One of your classmates drew a force diagram for a...Ch. 5 - Why is it difficult for a high-speed car to...Ch. 5 - How does a person standing on the ground explain...
Ch. 5 - 6. A pilot performs a vertical loop-the-loop at...Ch. 5 - 7. Why is the following an inaccurate statement...Ch. 5 - 8 Two point-like objects P and Q are undergoing...Ch. 5 - Compare the magnitude of the normal force of a car...Ch. 5 - If you put a penny on the center of a rotating...Ch. 5 - Where on Earths surface would you expect to...Ch. 5 - 12. What observational data might Newton have used...Ch. 5 - What observations combined with his second and...Ch. 5 - What would happen to the force exerted by the Sun...Ch. 5 - James fixes a camera on a tripod and takes several...Ch. 5 - Your friend says that an object weighs less on...Ch. 5 - Your friend says that when an object is moving in...Ch. 5 - Describe three everyday phenomena that are...Ch. 5 - 19. Two identical cars are moving with equal...Ch. 5 - 20. Astronauts on the space station orbiting Earth...Ch. 5 - 21. In the movies you often see space stations...Ch. 5 - 22. Give one example of a situation in which an...Ch. 5 - Name a planet on which you would weigh less than...Ch. 5 - A motorized cart is moving at a constant speed...Ch. 5 - 1. Mountain biker While mountain biking, you first...Ch. 5 - * You swing a rock tied to a string in a vertical...Ch. 5 - * Loop-the-loop You ride a roller coaster with a...Ch. 5 - 4. You start an old record player and notice a bug...Ch. 5 - 5. Determine the acceleration of Earth due to its...Ch. 5 - The Moon is an average distance of 3.8108 m from...Ch. 5 - Aborted plane landing You are on an airplane that...Ch. 5 - BIO Ultracentrifuge You are working in a biology...Ch. 5 - 9. * EST A tire-pressure monitoring system warns...Ch. 5 - Imagine that you are standing on a horizontal...Ch. 5 - 11. * Rolling is a combination of linear and...Ch. 5 - 14. * Consider the scenario described in Problem...Ch. 5 - 15. * You want to determine the radial...Ch. 5 - 16. Ferris wheel You are sitting on a rotating...Ch. 5 - 17. * EST Estimate the radial acceleration of the...Ch. 5 - * EST Estimate the radial acceleration of the toe...Ch. 5 - 19. * Is it safe to drive your 1600-kg car at...Ch. 5 - 20. * You are fixing a broken rotary lawn mower....Ch. 5 - * Your car speeds around the 80-m-radius curved...Ch. 5 - How fast do you need to swing a 200-g ball at the...Ch. 5 - 23. ** A small ball is attached by a string to a...Ch. 5 - A coin rests on a record 0.15 m from its center....Ch. 5 - 25. * Roller coaster ride A roller coaster car...Ch. 5 - * A person sitting in a chair (combined mass 80...Ch. 5 - 27. * A car moves around a 50-m-radius highway...Ch. 5 - 28. * A 20.0-g ball is attached to a 120-cm-long...Ch. 5 - 29. A 50-kg ice skater goes around a circle of...Ch. 5 - * A car traveling at 10 m/s passes over a hill on...Ch. 5 - 31. A 1000-kg car is moving at 30 m/s around a...Ch. 5 - * Equation Jeopardy 1 Describe using words, a...Ch. 5 - ** Banked curve raceway design You need to design...Ch. 5 - * A circular track is in a horizontal plane, has a...Ch. 5 - 36. ** Design a quantitative test for Newton’s...Ch. 5 - 37. * Your friend says that the force that the Sun...Ch. 5 - Determine the gravitational force that (a) the Sun...Ch. 5 - 39. * (a) What is the ratio of the gravitational...Ch. 5 - 40. ** EST Estimate (a) the average distance...Ch. 5 - 41. * EST The average radius of Earth s orbit...Ch. 5 - * The Moon travels in a 3.8105-km-radius orbit...Ch. 5 - 43. * Determine the ratio of Earth’s gravitational...Ch. 5 - 44. * Determine the magnitude of the gravitational...Ch. 5 - 45. * When you stand on a bathroom scale here on...Ch. 5 - 46. The free-fall acceleration on the surface of...Ch. 5 - 47.* A satellite moves in a circular orbit a...Ch. 5 - 48. * Mars has a mass of kg and a radius of m....Ch. 5 - 49. * Determine the speed a projectile must reach...Ch. 5 - 50. ** Determine the distance above Earth’s...Ch. 5 - 51. *Determine the period of an Earth satellite...Ch. 5 - 52. * A spaceship in outer space has a doughnut...Ch. 5 - 53. * Using the velocity change method from...Ch. 5 - 54. * Loop-the-loop You have to design a...Ch. 5 - ** A Tarzan swing Tarzan (mass 80 kg) swings at...Ch. 5 - 56. * (a) If the masses of Earth and the Moon were...Ch. 5 - 57. * EST Estimate the radial acceleration of the...Ch. 5 - 58. ** EST Estimate the force exerted by the tire...Ch. 5 - 59. ** EST Estimate the maximum radial force that...Ch. 5 - 60. * EST Estimate the force exerted by the wheel...Ch. 5 - Lucia's bathroom scale on the equator reads 110 lb...Ch. 5 - ** Demolition An old building is being demolished...Ch. 5 - 65. Designing a banked roadway You need to design...Ch. 5 - * Evaluation question You find the following in a...Ch. 5 - 67. * Suppose that Earth rotated much faster on...Ch. 5 - 68. * On Earth, an average person’s vertical jump...Ch. 5 - 69. * You read in a science magazine that on the...Ch. 5 - 70. * Determining the forces between powders and...Ch. 5 - ** Isabel notices that if she places a small...Ch. 5 - Texas Motor Speedway On October 28, 2000 Gil de...Ch. 5 - Texas Motor Speedway On October 28, 2000 Gil de...Ch. 5 - Texas Motor Speedway On October 28, 2000 Gil de...Ch. 5 - Texas Motor Speedway On October 28, 2000 Gil de...Ch. 5 - Texas Motor Speedway On October 28, 2000 Gil de...Ch. 5 - Halley's Comet Edmond Halley was the first to...Ch. 5 - Halley's Comet Edmond Halley was the first to...Ch. 5 - Halley's Comet Edmond Halley was the first to...Ch. 5 - Halley's Comet Edmond Halley was the first to...Ch. 5 - Halley's Comet Edmond Halley was the first to...Ch. 5 - Halley's Comet Edmond Halley was the first to...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen below. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components—friction parallel to the road (this must supply the centripetal force) and the vertical normal force (which must equal the system’s weight). (a) Show that (as defined as shown) is related to the speed vand radius of curvature rof the turn in the same way as for an ideally banked roadway—that is, =tan1(v2/rg) . (b) Calculate for a 12.0-m/s turn of radius 30.0 m (as in a race).arrow_forwardA car rounds a banked curve as discussed in Example 6.4 and shown in Figure 6.5. The radius of curvature of the road is R, the banking angle is , and the coefficient of static friction is s. (a) Determine the range of speeds the car can have without slipping up or down the road. (b) Find the minimum value for s such that the minimum speed is zero.arrow_forwardA crate of eggs is located in the middle of the flatbed of a pickup truck as the truck negotiates a curve in the flat road. The curve may be regarded as an arc of a circle of radius 35.0 in. If the coefficient of static friction between crate and truck is 0.600, how fast can the truck be moving without the crate sliding?arrow_forward
- As a skater forms a circle, what force is responsible for making her turn? Use a free body diagram in your answer.arrow_forwardA bead slides freely along a curved wire lying on a horizontal surface at constant speed as shown by Figure 5.14. (a) Draw the vectors representing the force exerted by the wire on the bead at points , , and . (b) Suppose the bead in Figure 5.14 speeds up with constant tangential acceleration as it moves toward the right. Draw the vectors representing the force on the bead at points , , and .arrow_forwardA curve of radius 120 m is banked at an angle of 10∘10∘. If an automobile with wheels with μs=0.90μs=0.90 is to round this curve without skidding, what is the maximum permissible speed? What is the minimum permissible speed? Explain your logic carefully!arrow_forward
- Why do airplanes bank when they turn? How would you compute the banking angle given the airspeed and radius of the turn? [Hint: Assume an aerodynamic “lift” force acts perpendicular to the wings.arrow_forwardMohamad is driving a car around a turn of radius r = 20 m. The road is on a banked curve of 30 degrees. If the coefficient of static friction is 0.35, what is the maximum speed that Mohamad can safely make the turn?arrow_forwardCircular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. a.Find the y component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. b. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. c. Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ. d. Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v. e.Now assume that the car is moving at 15 m/s and the radius of the track is 130 m. What is the angle θ in degrees?arrow_forward
- If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).(a) Calculate the ideal speed to take a 85 m radius curve banked at 15°. 14.947 m/s (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 15.0 km/h?arrow_forwardWhy are NASCAR tracks banked, angled up, on the curves? a) A banked track provides a normal force to supplement friction as a radial force. b) Banking reduces the amount of static friction necessary between the tires and the track at a particular speed. c) A banked curve allows cars to safely drive faster than an unbanked curve. d) All of the above is correct Please explain answerarrow_forwardA sport car moves around a banked curve at just the right constant speed v so that no friction is needed to make turn. During the turn, the driver (mass m) feels as though she weighs x times her actual weight. Find the magnitude of the net force on the driver during the turn in terms of m,g and x. Fnet? b) Find the radius of the turn.arrow_forward
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