College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 5, Problem 1P
Mountain biker While mountain biking, you first move at constant speed along the bottom of a trail’s circular dip and then at constant speed across the top of a circular hump. Assume that you and the bike are a system. Determine the direction of the acceleration at each position and construct a force diagram for each position (consistent with the direction of the acceleration). Compare at each position the magnitude of the force of the surface on the bike with the force Earth exerts on the system.
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Below are a number of situations involving circular motion. In each case, identify the source of the force needed to keep the objects in question moving in their circular paths.
Question k
A spring lift context
You are still working on your prototype spring lift. A block is placed at the end of a compressed spring (without being attached to it). The mechanism is triggered, which propels the block up the ramp, towards a roller conveyor. Now you want to calibrate the speed of your lift, to decide what kind of spring to use.
Information
The mass of the block is known.The block is initially at rest.The angle of inclination of the ramp is known.The distance travelled by the block is known.There is friction between the block and the ramp: the kinetic coefficient of friction is known.The spring constant is known.The initial compression of the spring is known.
Schematization
Represents the initial and final states of the system, identifying an upward y+ axis for the block.
Modelization
Create a model for the block's final speed in m/s (at the top of the ramp), given the known parameters only. Do not integrate.
Then test your model with the following values:
Block mass: 5.1 kg…
The small 0.6 kg block slides on the circular path of radius 3 m. in the vertical plane. The speed of the block is 5 m/s as it passes point A and 4 m/s as it passes point B.
a. Determine the normal force exerted on the block by the surface at point A.
b. Determine the normal force exerted on the block by the surface at point B.
c. Determine the total acceleration of the block at B.
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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