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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A banked highway is designed for traffic moving at v = 96 km/h. The radius of the curve r = 311 m.
a.)Write an equation for the tangent of the highway's angle of banking. Give your equation in terms of the radius of curvature r, the intended speed of the turn v, and the acceleration due to gravity g.
b)What is the angle of banking of the highway? Give your answer in degrees.
A car enters a level, unbanked semi-circular hairpin turn of 300 m radius at a speed of 40 m/s. The
coefficient of friction between the tires and the road is μ-0.25. If the car maintains a constant speed
of 40 m/s, it will
a attept to dg into the road suface.
b. arrive safely at the end of the semicircle.
c. tend to veer toward the center of the semicircle.
d. tend to veer toward the outside of the circle.
e. veer toward the center for the first quarter-circle, then veer toward the outside for the second quarter-
circle
A curve of radius 180 m is being designed in a new highway to allow cars travelling at 70 km/hr to round the curve with zero frictional forces.
a.) At what angle must the road be banked?
b.) What is the minimum coefficient of friction that will allow a car to successfully go around the curve at 30 km/hr?
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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- 5A) How fast in RPM must a Centrifuge rotate if a particle 12 cm from the axis of rotation is to experience an acceleration of 120,000 g’s ? Draw the forces in a schematic please. 5B) How many RPM would a 25 m diameter Ferris Wheel need to make for the passenger to feel weightless at the topmost point. Draw Schematic and show all applied forces at the top of the wheel.arrow_forwardA curve of radius 1.80x10^2m is being designed in a new highway to allow cars travelling at 70.0 km/h to round the curve with zero frictional forces. a.)at what angle must the road be banked? b.)what is the minimum coefficient of friction that will allow a car to successfully go around the curve at 30.0 km/h?arrow_forwardA highway curve with a radius 900.0 ft is to be banked so that a car traveling 55.0 mph will not skid sideways even in the absence of friction. a)At what angle should the curve be banked?arrow_forward
- 16. A banked circular road is designed for traffic moving at 60.0 km/h, radius of the curve is 200.0 m. Draw FBD and find angle. It is a stormy night and cars are traveling at 40.0 km/h. What is minimum coefficient of friction that will allow cars to negotiate turn without sliding?arrow_forwardA civil engineer is designing a banked curve on a highway. The banked curve is designed to allow the cars to move safely in a horizontal circle. a) Assume no friction. What will happen to the ideal speed of a car on the curve when the banking angle between the road and the horizontal is increased. Use formula to support your explanation. b) If friction exist, what will happen to the maximum speed of a car when the coefficient of friction between the tires and the road is larger. Use formula to support your explanation.arrow_forwardA 5000 kg car is traveling in a horizontal circular path with a speed of 25 m/s on a banked curve. The radius of the curve is 60 m. Friction is negligible. a. Find the horizontal part of the normal force from the road acting on the car. b. Find the vertical part of the normal force from the road acting on the car.arrow_forward
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- Question: A) A car is driving too fast on a flat non-banked curve. The car cannot stay on the road. What path will the car take as it leaves the road? See Image. B) The driver wants to go faster around the same curve mentioned above and not run off the road. He adds sandbags to his car to make it weigh more so that the friction force between the tires and the road will be increased. Will this work? Explain your answer.arrow_forwardWhy do airplanes bank when they turn? How would you compute the banking angle given the airspeed and radius of the turn?arrow_forwardA pickup truck negotiates an unbanked 41 m radius curve at 26 m/s. a.) Calculate the minimum coeficient of friction needed to negotiate the curve.arrow_forward
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