2nd Edition

ISBN: 9780134862897

Author: ETKINA

Publisher: PEARSON

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Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Textbook Question

Chapter 4, Problem 42P

* Ski rope tow You agree to build a backyard rope tow to pull your siblings up a 20-m slope that is tilted at 15° relative to the horizontal. You must choose a motor that can pull your 40-kg sister up the hill Determine the force that the rope should exert on your sister to pull her up the hill at constant velocity.

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Chapter 4, Problem 41P

Chapter 4, Problem 43P

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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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simple diagram to illustrate the setup for each law- coulombs law and biot savart law

Chapter 4 Solutions

COLLEGE PHYSICS:VOL.1

Ch. 4 - Review Question 4.1 When does a vector have a...Ch. 4 - Review Question 4.2 The x- and y-components of...Ch. 4 - Review Question 4.3 What is the force of friction...Ch. 4 - Review Question 4.4 For problems involving objects...Ch. 4 - Review Question 4.5 Why do we need to resolve the...Ch. 4 - Review Question 4.6 You read in this section that...Ch. 4 - 1. A car accelerates along a road. Identify the...Ch. 4 - 2. A person pushes a 10-kg crate exerting a 200-N...Ch. 4 - Compare the ease of pulling a lawn mower and...Ch. 4 - 4. You simultaneously release two balls: one you...

Ch. 4 - You shoot an arrow with a bow. The following is...Ch. 4 - In what reference frame does a projectile launched...Ch. 4 - In Table 4.6 we found that the two balls touched...Ch. 4 - 8. While running at constant velocity, how should...Ch. 4 - 9. You hold a block on a horizontal, frictionless...Ch. 4 - 10. In the process described in the previous...Ch. 4 - Suppose that two blocks are positioned on an...Ch. 4 - 12. A box containing some stones is resting on a...Ch. 4 - For the following two questions, the answer...Ch. 4 - 14. A block is resting on a rough inclined...Ch. 4 - 15. A box with a heavy television set in it...Ch. 4 - 16. How can an Atwood machine be used to determine...Ch. 4 - 17. Your friend is on Rollerblades holding a...Ch. 4 - Explain why a car starts skidding when a driver...Ch. 4 - 19. Explain why old tires need to be replaced. Ch. 4 - 20. Explain how friction helps you to walk. Ch. 4 - 21. Explain why you might fall forward when you...Ch. 4 - Explain why you might fall backward when you slip.Ch. 4 - Explain why the tires of your car can spin out...Ch. 4 - You throw two identical balls simultaneously at...Ch. 4 - 25. Your friend says that the vertical force...Ch. 4 - Your friend says that a projectile launched at an...Ch. 4 - An object of mass m1 placed on an inclined plane...Ch. 4 - 28 An object of mass m1 placed on an inclined...Ch. 4 - 29. A horse is pulling a sled. If the force...Ch. 4 - 30. If you kick a block so that it starts moving...Ch. 4 - Determine the x- and y-components of each force...Ch. 4 - 2. Determine the x- and y-components of each force...Ch. 4 - * Determine the x- and y-components of each...Ch. 4 - 4 * The x- and y-components of several unknown...Ch. 4 - * The x- and y-scalar components of several...Ch. 4 - 6. * Three ropes pull on a knot shown in Figure...Ch. 4 - * Figure P4.7 shows an unlabeled force diagram for...Ch. 4 - For each of the following situations, draw the...Ch. 4 - * Write Newtons second law in component form for...Ch. 4 - For the situations described here, construct a...Ch. 4 - * Write Newtons second law in component form for...Ch. 4 - Apply Newtons second law in component form for the...Ch. 4 - Apply Newtons second law in component form for the...Ch. 4 - 14. * Equation Jeopardy 1 The three sets of...Ch. 4 - * You exert a force of 100 N on a rope that pulls...Ch. 4 - 16. * You exert a force of a known magnitude F on...Ch. 4 - * Olympic 100-m dash start At the start of his...Ch. 4 - 18. * Your own accelerometer A train has an...Ch. 4 - * EST Finn and Hazel are using a battery-powered...Ch. 4 - A 91.0-kg refrigerator sits on the floor. The...Ch. 4 - A 60-kg student sitting on a hardwood floor does...Ch. 4 - Car stopping distance and friction A car traveling...Ch. 4 - 23. * A 50-kg box rests on the floor. The...Ch. 4 - 24. * Marsha is pushing down and to the right on a...Ch. 4 - * You want to determine the coefficient of kinetic...Ch. 4 - * A wagon is accelerating to the right. A book is...Ch. 4 - s. Determine an expression for the minimum...Ch. 4 - * A car has a mass of 1520 kg. While traveling at...Ch. 4 - m/s2 when pulled by a rope exerting a 120-N force...Ch. 4 - 30. ** A crate of mass m sitting on a horizontal...Ch. 4 - * EST You absentmindedly leave your book bag on...Ch. 4 - 32. * Block 1 is on a horizontal surface with a...Ch. 4 - 33. * You want to use a rope to pull a 10-kg box...Ch. 4 - 34. * A car with its wheels locked rests on a...Ch. 4 - 35. Olympic skier Olympic skier Tina Maze skis...Ch. 4 - * Another Olympic skier Bode Miller. 80-kg...Ch. 4 - * A book slides off a desk that is tilted 15...Ch. 4 - * Helge, Steve, and Heidi are sitting on a sled on...Ch. 4 - 40. * When traveling on an airplane you get meals...Ch. 4 - 41. Skier A 52-kg skier starts at rest and slides...Ch. 4 - 42. * Ski rope tow You agree to build a backyard...Ch. 4 - 43. * Soapbox racecar A soapbox derby racecar...Ch. 4 - 44. * A person is pushing two carts that are...Ch. 4 - 45. * BIO Whiplash Experience A car sitting at...Ch. 4 - Iditarod race practice The dogs of four-time...Ch. 4 - angle above the horizontal. The other end of the...Ch. 4 - * Rope 1 pulls horizontally, exerting a force of...Ch. 4 - * Three sleds of masses m1,m2,m3 are on a smooth...Ch. 4 - 50. ** Repeat Problem 4.49 , only this time with...Ch. 4 - 51. * A skier is moving down a snowy hill with an...Ch. 4 - ** A person holds a 200-g block that is connected...Ch. 4 - 53. ** Two blocks of masses are connected to each...Ch. 4 - 54. ** The 20-kg block shown in Figure P4.54 ...Ch. 4 - * A squirrel jumps of a roof in the horizontal...Ch. 4 - * A frog jumps at an angle 30 above the...Ch. 4 - 57. A bowling ball rolls off a table. Draw a force...Ch. 4 - 58 * A tennis ball is served from the back line of...Ch. 4 - 59. * Equation Jeopardy 3 The equations below...Ch. 4 - 60 * EST An airplane is delivering food to a small...Ch. 4 - A ball moves in an arc through the air (see Figure...Ch. 4 - A marble is thrown as a projectile at an angle...Ch. 4 - 63 * Marbles are exiting a container through a...Ch. 4 - * Robbie Knievel ride On May 20, 1999, Robbie...Ch. 4 - 65. * Daring Darless wishes to cross the Grand...Ch. 4 - * A football punter wants to kick the ball so that...Ch. 4 - 67. * If you shoot a cannonball from the same...Ch. 4 - 68. When you actually perform the experiment...Ch. 4 - 69. * You can shoot an arrow straight up so that...Ch. 4 - 70. * Robin Hood wishes to split an arrow already...Ch. 4 - 71. * Three force diagrams for a car on a road are...Ch. 4 - * A minivan of mass 1560 kg starts at rest and...Ch. 4 - 74. * Emily pulls a 5-kg block across a rough...Ch. 4 - 75. * EST You abruptly push a 1.7-kg book along a...Ch. 4 - 76 ** EST In the situation of Problem 4.75,...Ch. 4 - 78. * Two blocks of masses and hang at the ends...Ch. 4 - 79. * A 3.5-kg object placed on an Inclined plane...Ch. 4 - above the horizontal) is connected by a string...Ch. 4 - above the horizontal) is connected by a string...Ch. 4 - 82 ** You are driving at a reasonable constant...Ch. 4 - 84. * In the situation of Problem 2.71 (Chapter 2...Ch. 4 - 87. * Your friend has a pie on the roof of his...Ch. 4 - * A ledge on a building is 20 m above the ground....Ch. 4 - 89. * You are hired to devise a method to...Ch. 4 - The mass of a spacecraft is about 480 kg. An...Ch. 4 - incline When she reaches the level floor at the...Ch. 4 - * Tell all A sled starts at the top of the hill...Ch. 4 - Professor tests airplane takeoff speed D. A....Ch. 4 - Professor tests airplane takeoff speed D A Wardle,...Ch. 4 - Professor tests airplane takeoff speed D A Wardle,...Ch. 4 - Professor tests airplane takeoff speed D. A....Ch. 4 - Choose the best velocity-versus-time graph below...Ch. 4 - Ski jumping in Vancouver The 2010 Olympic ski...Ch. 4 - Ski jumping in Vancouver The 2010 Olympic ski...Ch. 4 - Ski jumping in Vancouver The 2010 Olympic ski...Ch. 4 - Assume that the skier left the ramp moving...Ch. 4 - Ski jumping in Vancouver The 2010 Olympic ski...

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