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 22P
How fast do you need to swing a 200-g ball at the end of a string in a horizontal circle of 0.5-m radius so that the string makes a
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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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- An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P5.60). The coefficient of static friction between person and wall is s, and the radius of the cylinder is R. (a) Show that the maximum period of revolution necessary to keep the person from falling is T=(42Rs/g)1/2. (b) If the rate of revolution of the cylinder is made to be somewhat larger, what happens to the magnitude of each one of the forces acting on the person? What happens in the motion of the person? (c) If the rate of revolution of the cylinder is instead made to be somewhat smaller, what happens to the magnitude of each one of the forces acting on the person? What happens in the motion of the person?arrow_forwardA roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each vertical loop, instead of being circular, is shaped like a teardrop (Fig. P5.22). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0 in high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the care have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having teardrop-shaped loops.arrow_forwardA string under a tension of 50.0 N is used to whirl a rock in a horizontal circle of radius 2.50 m at a speed of 20.4 m/s on a fricitonless surface as shown in Figure P6.25. As the string is pulled in, the speed of the rock increases. When the string on the table is 1.00 m long and the speed of the rock is 51.0 m/s, the string breaks. What is the breaking strength, in newtons, of the string? Figure P6.25arrow_forward
- Modern roller coasters have vertical loops like the one shown in Figure 6.38. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g? Figure 6.38 Teardrop-shaped loops are used in the latest roller coasters so that the radius of curvature gradually decreases to a minimum at the top. This means that the centripetal acceleration builds from zero to a maximum at the top and gradually decreases again. A circular loop would cause a jolting change in acceleration at entry, a disadvantage discovered long ago in railroad curve design. With a small radius of curvature at the top, the centripetal acceleration can more easily be kept greater than g so that the passengers do not lose contact with their seats nor do they need seat belts to keep them in place.arrow_forwardThe pilot of an airplane executes a loop-the-loop maneuver in a vertical circle. The speed of the airplane is 300 mi/h at the top of the loop and 450 mi/h at the bottom, and the radius of the circle is 1 200 ft. (a) What is the pilots apparent weight at the lowest point if his true weight is 160 lb? (b) What is his apparent weight at the highest point? (c) What If? Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the seat on his body.arrow_forwardA satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 163 N.arrow_forward
- The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in Figure 7.13b. The speed of the airplane is 2.00 102 m/s, and the radius of the circle is 3.20 103 m. (a) What is the pilot's apparent weight at the lowest point of the circle if his true weight is 712 N? (b) What is his apparent weight at the highest point of the circle? (c) Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the scat on his body. Under what conditions does this occur? (d) What speed would have resulted in the pilot experiencing weightlessness at the top of the loop?arrow_forwardStay Dry! You tie a cord to a pail of water and swing the pail in a vertical circle of radius 0.600 m. What minimum speed must you give the pail at the highest point of the circle to avoid spilling water?arrow_forwardTo keep the forces on the riders within allowable limits, many loop-the-loop roller coaster rides are designed so that the loop is not a perfect circle but instead has a larger radius of curvature at the bottom than at the top. Explain.arrow_forward
- A 1.5kg rock is tied to the end of a 1.25m string and is swung in a vertical circle at a constant speed of 4.5 m·s−1. If the string breaks when the tension is 135 N, calculate the maximum speed that the rock can be swung without breaking the string?arrow_forwardexplain: A roller-coaster car has a mass of 1200 kg when fully loaded with passengers. as the car passes over the top of a circular hill of radius 22m, its speed is not changing. At the top of the hill, what is the magnitude of the normal force (FN) on the car from the track if the car's speed is v=12m/s?arrow_forwardA 5.41kg ball is attached to the top of a vertical pole with a 2.41 m length of massless string. The ball is struck, causing it to revolve around the pole at a speed of 4.67m/s in a horizontal circle with the string remaining taut. Calculate the angle, between 0° and 90°, that the string makes with the pole. Take g=9.81 m/s2. What is the tension of the string?arrow_forward
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Newton's First Law of Motion: Mass and Inertia; Author: Professor Dave explains;https://www.youtube.com/watch?v=1XSyyjcEHo0;License: Standard YouTube License, CC-BY