College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 5, Problem 34P
** Banked curve raceway design You need to design a banked curve at the new circular Super 100 Raceway. The radius of the track is 800 m, and cars typically travel at speed 160 mi /h. What feature of the design ensures that all racecars can move around the track safely in any weather? (a) Provide a quantitative answer. (b) List your assumptions and describe whether the number you provided will increase or decrease if the assumption is not valid.
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Velocity Task
Introduction: The pedal of a bicycle is attached to a crank arm that revolves when the
pedal is pushed by a person's foot. As the crank arm turns, it pulls a chain that is
attached to the rear wheel of the bicycle, causing the bicycle to move forward.
O
18 cm
16 cm
A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank arm
is 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedaling
the bicycle such that the crank arm rotates once every second.
Questions:
1. Write an equation that models the vertical position of the foot with respect to the
ground, starting from the lowest point, as the crank arm turns.
2. What is the rate of change of the vertical position of the foot when it is at the
midline? Explain your answer
3. How fast, in kilometres per hour, is the bicycle moving?
4. Determine an equation that would model the foot's position when the cyclist is
traveling 5 km/h. Compare this equation to your equation from…
Under good conditions, a car can travel at a maximum speed of vmax around a particular unbanked curve. In the aftermath of an ice storm, however, driving at that same speed will cause the car to slide off the road. Which of the statements below best describes why this is true?
a.
The friction force is no longer strong enough to balance the centripetal force and give the car zero acceleration.
b.
The friction force is needed to do negative work on the car to reduce the car’s kinetic energy.
c.
The friction force no longer provides a strong enough unbalanced force to change the car’s velocity quickly enough to stay on the curve.
d.
The car “floats” on the ice reducing the gravitational force which is what keeps the car on the road.
e.
[All of the above.]
Two banked curves have the same radius. Curve A is banked at 11.4 °, and curve B is banked at an angle of 16.5 °. A car can travel
around curve A without relying on friction at a speed of 19.2 m/s. At what speed can this car travel around curve B without relying on
friction?
Number i
Units
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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