College Physics: Explore And Apply, Volume 2 (2nd Edition)
2nd Edition
ISBN: 9780134862910
Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic
Publisher: PEARSON
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Chapter 2, Problem 19CQ
In what reasonable ways can you represent or describe the motion of a car traveling from one stoplight to the next? Construct each representation of the moving car.
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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Chapter 2 Solutions
College Physics: Explore And Apply, Volume 2 (2nd Edition)
Ch. 2 - Review Question 2.1 What does the statement...Ch. 2 - Review Question 2.2 Is the following statement...Ch. 2 - Review Question 2.3 Eugenia says that to find the...Ch. 2 - Review Question 2.4 Jade went hiking between two...Ch. 2 - Review Question 2.5 A position- versus-time graph...Ch. 2 - Review Question 2.6 Why is the following statement...Ch. 2 - Review Question 2.7 (a) Give an example in which...Ch. 2 - Review Question 2.8 Explain qualitatively, without...Ch. 2 - Review Question 2.9 A cars motion with respect to...Ch. 2 - Match the general elements or physics knowledge...
Ch. 2 - Which group of quantities below consists only of...Ch. 2 - Which of the following are examples of time...Ch. 2 - A student said. The displacement between my dorm...Ch. 2 - An object moves so that its position depends on...Ch. 2 - 6. Choose the correct approximate...Ch. 2 - Figure Q2.7b shows the position-versus-time graph...Ch. 2 - Oilver takes two identical marbles and drops the...Ch. 2 - 9. Your car is traveling west at 12 m/s. A...Ch. 2 - Which velocity-versus-time graph in Figure Q2.10...Ch. 2 - 11. Azra wants to determine the average speed of...Ch. 2 - A sandbag hangs from a rope attached to a rising...Ch. 2 - An apple falls from a tree. It hits the ground at...Ch. 2 - 14. You have two small metal balls. You drop the...Ch. 2 - Which of the graphs in Figure Q2.15 represent the...Ch. 2 -
16. You throw a small ball upward and notice the...Ch. 2 - Figure Q2.17 shows vectors E,F, and G. Draw the...Ch. 2 - Peter is cycling along an 800-m straight stretch...Ch. 2 - In what reasonable ways can you represent or...Ch. 2 - What is the difference between speed and velocity?...Ch. 2 - 21. What physical quantities do we use to describe...Ch. 2 - 22. Devise stories describing each of the motions...Ch. 2 - 23. For each of the position-versus-time graphs in...Ch. 2 - Figure Q2.24 shows velocity-versus-time graphs for...Ch. 2 - Can an object have a nonzero velocity and zero...Ch. 2 - 26. Can an object at one instant of time have zero...Ch. 2 - 27. Your little sister has a battery-powered toy...Ch. 2 - You throw a ball upward. Your friend says that at...Ch. 2 - A car starts at rest from a stoplight and speeds...Ch. 2 - * You are an observer on the ground. (a) Draw two...Ch. 2 - 3. * A car is moving at constant speed on a...Ch. 2 - 4. * A hat falls off a man’s head and lands in the...Ch. 2 - 5 Figure P2.5 shows several displacement vectors...Ch. 2 - 6. Figure P.26 shows an incomplete motion diagram...Ch. 2 - 7. * You drive 100 Km east do some sightseeing and...Ch. 2 - * Choose an object or reference and a set of...Ch. 2 - The scalar x-component of a displacement vector...Ch. 2 - 10. * You recorded your position with respect to...Ch. 2 - * You need to determine the time interval (in...Ch. 2 - A speedometer reads 65 ml/h. (a) Use as many...Ch. 2 - 13. Convert the following record speeds so that...Ch. 2 - 15. * BIO A kidnapped banker looking through a...Ch. 2 - 16 * Some computer scanners scan documents by...Ch. 2 - 18. * Your friend’s pedometer shows that he took...Ch. 2 - During a hike, two friends were caught in a...Ch. 2 - 20. Light travels at a speed of m/s in a vacuum....Ch. 2 - 21. Proxima Centauri is light-years from Earth....Ch. 2 - * Spaceships traveling to other planets in the...Ch. 2 - 23. ** Figure P2.23 shows a velocity-versus-time...Ch. 2 - 24. * Table 2.9 shows position and time data for...Ch. 2 - 25. * Table 2.10 shows position and time data for...Ch. 2 - 26 * You are walking to your physics class at...Ch. 2 - * Gabriele enters an east-west straight bike path...Ch. 2 - * Jim is driving his car at 32 m/s (72 mi/h) along...Ch. 2 - 29. * You hike two-thirds of the way to the top or...Ch. 2 - 30. * Olympic champion swimmer Michael Phelps swam...Ch. 2 - 31. * A car makes a 100-Km trip. it travels the...Ch. 2 - * Jane and Bob see each other when 100m apart....Ch. 2 - 34. A car starts from rest and reaches the speed...Ch. 2 - A truck is traveling east at +16 m/s (a) The...Ch. 2 - 36. Bumper car collision on a bumper car ride,...Ch. 2 - A bus leaves an intersection accelerating at +2.0...Ch. 2 - A jogger is running at +4.0 m/s when a bus passes...Ch. 2 - 39. * The motion of a person as seen by another...Ch. 2 - While cycling at a speed of 10 m/s, a cyclist...Ch. 2 - * EST To his surprise, Daniel found that an egg...Ch. 2 - 42. BIO Squid propulsion Lolliguncula brevis squid...Ch. 2 - Dragster record on the desert In 1977, Kitty ONell...Ch. 2 - * Imagine that a sprinter accelerates from rest to...Ch. 2 - 45. ** Two runners are running next to each other...Ch. 2 - 46. * Meteorite hits car in 1992, a 14-kg...Ch. 2 - 47. BIO Froghopper jump A spittlebug called the...Ch. 2 - 48. Tennis serve The fastest server in women’s...Ch. 2 - 49. * Shot from a cannon in 1998, David...Ch. 2 - Col. John Stapps final sied run Col. John Stapp...Ch. 2 - 51. * Sprinter Usain Bolt reached a maximum speed...Ch. 2 - ** Imagine that Usain Bolt can reach his maximum...Ch. 2 - * A bus is moving at a speed of 36 km/h. How far...Ch. 2 - * EST You want to estimate how fast your car...Ch. 2 - * In your car, you covered 2.0 m during the first...Ch. 2 - 56. (a) Determine the acceleration of a car in...Ch. 2 - You accidentally drop an eraser out the window of...Ch. 2 - 58. * What is the average speed of the eraser in...Ch. 2 - 59. You throw a tennis ball straight upward. The...Ch. 2 - 60. While skydiving, your parachute opens and you...Ch. 2 - * After landing from your skydiving experience,...Ch. 2 - * You are standing on the rim of a canyon. You...Ch. 2 - 63. * You are doing an experiment to determine...Ch. 2 - EST Cliff divers Divers in Acapulco fall 36m from...Ch. 2 - 65. * Galileo dropped a light rock and a heavy...Ch. 2 - * A person holding a lunch bag is moving upward in...Ch. 2 - * A parachutist falling vertically at a constant...Ch. 2 - A diagram representing the motion of two cars is...Ch. 2 - Use the velocity-versus-time graph lines in Figure...Ch. 2 - * While babysitting their younger brother, Chrisso...Ch. 2 - 72. ** An object moves so that its position...Ch. 2 - * The positions of objects A and B with respect to...Ch. 2 - * Two cars on a straight road at time zero are...Ch. 2 - 75. * Oliver drops a tennis ball from a certain...Ch. 2 - 76. * BIO EST Water striders Water striders are...Ch. 2 - 77. You are traveling in your car at 20 m/s a...Ch. 2 - * You are driving a car behind another car. Both...Ch. 2 - 79. * A driver with a 0.80-s reaction time applies...Ch. 2 - 80. ** Some people in a hotel are dropping water...Ch. 2 - s acceleration if hitting an unprotected zygomatic...Ch. 2 - 82 ** EST A bottle rocket burns for 1.6s. After it...Ch. 2 - 83. * Data from state driver’s manual The state...Ch. 2 - 85. * Car A is heading east at 30 m/s and Car B is...Ch. 2 - BIO Head injuries in sports A research group at...Ch. 2 - BIO Head injuries in sports A research group at...Ch. 2 - BIO Head injuries in sports A research group at...Ch. 2 - BIO Head injuries in sports A research group at...Ch. 2 - BIO Head injuries in sports A research group at...Ch. 2 - Automatic sliding doors The first automatic...Ch. 2 -
Automatic sliding doors The first automatic...Ch. 2 - Automatic sliding doors The first automatic...Ch. 2 - Automatic sliding doors The first automatic...Ch. 2 - Automatic sliding doors The first automatic...Ch. 2 - Automatic sliding doors The first automatic...
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