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A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?

A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The polar coordinates of a point are 4π/34π/3 and 5.50 m. What are its Cartesian coordinates?

A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?

E Homeworks – 2022 Spring Te x = Ch. 2 Problems - University P x Bb Take Test: Homework - Chapt x E Question 29 - Google Docs b My Questions | bartleby x + A openstax.org/books/university-physics-volume-1/pages/2-problems < University Physics Volume 1 Problems E Table of contents Search this book E My highlights Problems 65. Find the angles that vector D = (2.0i – 4.0j +k)m makes with the x-, y-, and z- axes. Additional Problems 66. Show that the force vector D = (2.0i – 4.0j +k)N is orthogonal to the force vector Ğ = (3.0î + 4.03 + 10.0k)N. Challenge Problems Motion Along a Straight Line 67. Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following •4 Motion in Two and Three vector products: (а) А х С, (b) Аx F. (с) D x С, (d) А х (F+ 2C), (e) і х В, (0 јx В. (9) (31 – j) × B, and (h) B x B. Dimensions •5 Newton's Laws of Motion •6 Applications of Newton's Laws 68. Find the cross product à x Č for (a) à = 2.0î – 4.03 +k and Č = 3.0î + 4.0ĵ + 10.0k, (b) A = 3.0î + 4.0j + 10.0k and Č = 2.0î – 4.0ĝ + k, (c) Ả = -3.0î – 4.03 and Č = -3.0î + 4.0j. and (d) Č = -2.0î + 3.0} + 2.0k and Å = -9.03. •7 Work and Kinetic Energy •8 Potential Energy and Conservation of Energy 69. For the vectors in the earlier figure, find (a) (A x F) · D, (b) (Ã × F) · (Ď × B), and (c) (Ā . F)(Ď × B). •9 Linear Momentum and Collisions • 10 Fixed-Axis Rotation 70. (a) If A x F = B x F, can we conclude A = B? (b) If A · F = B - F, can we conclude A = B? (c) If FA = BF, can we conclude Á = B? Why or why not? • 11 Angular Momentum %3D • 12 Static Equilibrium and Elasticity • 13 Gravitation >14 Fluid Mechanics < Previous Next > • Waves and Acoustics WE Question 29.docx Show all 12:13 AM P Type here to search L 29°F 后 3/14/2022 近
Transcribed Image Text:E Homeworks – 2022 Spring Te x = Ch. 2 Problems - University P x Bb Take Test: Homework - Chapt x E Question 29 - Google Docs b My Questions | bartleby x + A openstax.org/books/university-physics-volume-1/pages/2-problems < University Physics Volume 1 Problems E Table of contents Search this book E My highlights Problems 65. Find the angles that vector D = (2.0i – 4.0j +k)m makes with the x-, y-, and z- axes. Additional Problems 66. Show that the force vector D = (2.0i – 4.0j +k)N is orthogonal to the force vector Ğ = (3.0î + 4.03 + 10.0k)N. Challenge Problems Motion Along a Straight Line 67. Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following •4 Motion in Two and Three vector products: (а) А х С, (b) Аx F. (с) D x С, (d) А х (F+ 2C), (e) і х В, (0 јx В. (9) (31 – j) × B, and (h) B x B. Dimensions •5 Newton's Laws of Motion •6 Applications of Newton's Laws 68. Find the cross product à x Č for (a) à = 2.0î – 4.03 +k and Č = 3.0î + 4.0ĵ + 10.0k, (b) A = 3.0î + 4.0j + 10.0k and Č = 2.0î – 4.0ĝ + k, (c) Ả = -3.0î – 4.03 and Č = -3.0î + 4.0j. and (d) Č = -2.0î + 3.0} + 2.0k and Å = -9.03. •7 Work and Kinetic Energy •8 Potential Energy and Conservation of Energy 69. For the vectors in the earlier figure, find (a) (A x F) · D, (b) (Ã × F) · (Ď × B), and (c) (Ā . F)(Ď × B). •9 Linear Momentum and Collisions • 10 Fixed-Axis Rotation 70. (a) If A x F = B x F, can we conclude A = B? (b) If A · F = B - F, can we conclude A = B? (c) If FA = BF, can we conclude Á = B? Why or why not? • 11 Angular Momentum %3D • 12 Static Equilibrium and Elasticity • 13 Gravitation >14 Fluid Mechanics < Previous Next > • Waves and Acoustics WE Question 29.docx Show all 12:13 AM P Type here to search L 29°F 后 3/14/2022 近
BB Homeworks - 2022 Spring Te x = Ch. 2 Problems - University P x Bb Take Test: Homework - Chapt x E Question 29 - Google Docs b My Questions | bartleby x + A openstax.org/books/university-physics-volume-1/pages/2-problems < University Physics Volume 1 Problems E Table of contents E My highlights Search this book the Cartesian coordinate system as vector F = (-2980.0i + 8200.0j)N, where i and j denote directions to the east and north, respectively. Find the magnitude and direction of the pull. Problems Additional Problems 41. A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector? Challenge Problems 3 Motion Along a Straight Line >4 Motion in Two and Three Dimensions •5 Newton's Laws of Motion Path 2 6 Applications of Newton's Laws >7 Work and Kinetic Energy >8 Potential Energy and Conservation of Energy S= 5.0 km •9 Linear Momentum and Collisions Path 1 40 > 10 Fixed-Axis Rotation 11 Angular Momentum > 12 Static Equilibrium and Elasticity • 13 Gravitation > 14 Fluid Mechanics • Waves and Acoustics 42. The polar coordinates of a point are 4n/3 and 5.50 m. What are its Cartesian coordinates? 43. Two points in a plane have polar coordinates P (2.500 m, 7/6) and P2 (3.800 m, 2n/3). Determine their Cartesian coordinates and the distance between them in the Cartesian coordinate system. Round the A JUnits distance to a nearest centimeter. B|Conversion Factors 44. A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system at the lower left-hand corner of the screen and the horizontal direction to the right as the +x-direction. If its coordinates are (2.000 m, 1.000 m), (a) how far is it from the corner of the screen? (b) C |Fundamental Constants D|Astronomical Data What is its location in polar coordinates? E |Mathematical Formulas F (Chemistry 45. Two points in the Cartesian plane are A(2.00 m, -4.00 m) and B(-3.00 m, 3.00 m). Find the distance between them and their polar coordinates. G|The Greek Alphabet W Question 29.docx Show all 12:12 AM P Type here to search L 29°F 3/14/2022 近
Transcribed Image Text:BB Homeworks - 2022 Spring Te x = Ch. 2 Problems - University P x Bb Take Test: Homework - Chapt x E Question 29 - Google Docs b My Questions | bartleby x + A openstax.org/books/university-physics-volume-1/pages/2-problems < University Physics Volume 1 Problems E Table of contents E My highlights Search this book the Cartesian coordinate system as vector F = (-2980.0i + 8200.0j)N, where i and j denote directions to the east and north, respectively. Find the magnitude and direction of the pull. Problems Additional Problems 41. A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector? Challenge Problems 3 Motion Along a Straight Line >4 Motion in Two and Three Dimensions •5 Newton's Laws of Motion Path 2 6 Applications of Newton's Laws >7 Work and Kinetic Energy >8 Potential Energy and Conservation of Energy S= 5.0 km •9 Linear Momentum and Collisions Path 1 40 > 10 Fixed-Axis Rotation 11 Angular Momentum > 12 Static Equilibrium and Elasticity • 13 Gravitation > 14 Fluid Mechanics • Waves and Acoustics 42. The polar coordinates of a point are 4n/3 and 5.50 m. What are its Cartesian coordinates? 43. Two points in a plane have polar coordinates P (2.500 m, 7/6) and P2 (3.800 m, 2n/3). Determine their Cartesian coordinates and the distance between them in the Cartesian coordinate system. Round the A JUnits distance to a nearest centimeter. B|Conversion Factors 44. A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system at the lower left-hand corner of the screen and the horizontal direction to the right as the +x-direction. If its coordinates are (2.000 m, 1.000 m), (a) how far is it from the corner of the screen? (b) C |Fundamental Constants D|Astronomical Data What is its location in polar coordinates? E |Mathematical Formulas F (Chemistry 45. Two points in the Cartesian plane are A(2.00 m, -4.00 m) and B(-3.00 m, 3.00 m). Find the distance between them and their polar coordinates. G|The Greek Alphabet W Question 29.docx Show all 12:12 AM P Type here to search L 29°F 3/14/2022 近
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