Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 3, Problem 37PQ
To determine
The displacement of E in component form during the time interval of
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The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 01-32.0°,
e2 = 49.0°, and 03 = 84.0°, and the distances are di 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of
the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less
than 180°, measured from the +x direction.
dz
dg
(a) Number
5.586
Units
(b) Number
135
Units
* (degrees)
A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t1 = 23 min, the dog's displacement from the station is 1.2 km, 33° north of east. At time t2 = 57 min, the dog's displacement from the station is 2.0 km, 75° north of east. Find the magnitude and direction of the dog's average velocity between these two times
A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t₁ = 23 min, the dog's
displacement from the station is 1.2 km, 33° north of east. At time t₂ = 57 min, the dog's displacement from the station is 2.0 km, 75°
north of east. Find the magnitude and direction of the dog's average velocity between these two times.
1.4 m/s, 31° west of north
0.80 m/s, 42° west of north
1.6 m/s, 42° north of east
0.52 m/s, 88° north of east
0.67 m/s, 21° west of north
Chapter 3 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 3.1 - The three vectors A,B and C in Figure 3.7 all have...Ch. 3.1 - Prob. 3.2CECh. 3.1 - a. You wish to represent free-fall acceleration...Ch. 3.2 - Prob. 3.4CECh. 3.3 - Prob. 3.5CECh. 3 - A velocity vector has a magnitude of 720 m/s. Two...Ch. 3 - A young boy throws a baseball through a window. a....Ch. 3 - Prob. 3PQCh. 3 - Prob. 4PQCh. 3 - Vector A, with a magnitude of 18 units, points in...
Ch. 3 - Prob. 6PQCh. 3 - Prob. 7PQCh. 3 - The layout of the town of Popperville is a...Ch. 3 - Prob. 9PQCh. 3 - Prob. 10PQCh. 3 - Prob. 11PQCh. 3 - Prob. 12PQCh. 3 - In Chapter 5, you will study a very important...Ch. 3 - Refer to the situation described in Problem 14....Ch. 3 - Vector A has a magnitude of 4.50 m and makes an...Ch. 3 - Miguel, an Ultimate Frisbee player, is running...Ch. 3 - A baseball diamond consists of four plates...Ch. 3 - Prob. 19PQCh. 3 - Prob. 20PQCh. 3 - Two aircraft approaching an aircraft carrier are...Ch. 3 - Prob. 22PQCh. 3 - A truck driver delivering office supplies downtown...Ch. 3 - Prob. 24PQCh. 3 - Carolyn rides her bike 40.0 south of west for 5.40...Ch. 3 - Prob. 26PQCh. 3 - Prob. 27PQCh. 3 - Prob. 28PQCh. 3 - Prob. 29PQCh. 3 - Prob. 30PQCh. 3 - Prob. 31PQCh. 3 - Prob. 32PQCh. 3 - Prob. 33PQCh. 3 - Prob. 34PQCh. 3 - A firecracker explodes into four equal pieces...Ch. 3 - Prob. 36PQCh. 3 - Prob. 37PQCh. 3 - Prob. 38PQCh. 3 - Prob. 39PQCh. 3 - Figure P3.40 shows a map of Grand Canyon National...Ch. 3 - Prob. 41PQCh. 3 - The same vectors that are shown in Figure P3.6 are...Ch. 3 - A supertanker begins in Homer, Alaska, sails 125...Ch. 3 - A Three vectors are shown in Figure P3.44, but...Ch. 3 - A vector A=(5.20i3.70j) m and a vector...Ch. 3 - Prob. 46PQCh. 3 - Prob. 47PQCh. 3 - Prob. 48PQCh. 3 - An airplane leaves city A and flies a distance d1...Ch. 3 - An aircraft undergoes two displacements. If the...Ch. 3 - The resultant vector R=2AB2C has zero magnitude....Ch. 3 - A Three vectors all have the same magnitude. The...Ch. 3 - The two-dimensional vectors A and B both have...Ch. 3 - Prob. 54PQCh. 3 - Two birds begin next to each other and then fly...Ch. 3 - Prob. 56PQCh. 3 - General Problems 57. G A spider undergoes the...Ch. 3 - Peter throws a baseball through a houses window....Ch. 3 - Prob. 59PQCh. 3 - Prob. 60PQCh. 3 - Prob. 61PQCh. 3 - A glider aircraft initially traveling due west at...Ch. 3 - What are the magnitude and direction of a vector...Ch. 3 - Prob. 64PQCh. 3 - Prob. 65PQCh. 3 - Prob. 66PQCh. 3 - Prob. 67PQCh. 3 - Prob. 68PQCh. 3 - Prob. 69PQCh. 3 - Prob. 70PQCh. 3 - Vector F is proportional to vector A such that...Ch. 3 - Prob. 72PQCh. 3 - Prob. 73PQCh. 3 - Problems 74 and 75 are paired. 74. N A classroom...Ch. 3 - Prob. 75PQ
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- A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a certain distance and then turns and walks a certain distance again, and then turns and walks a certain distance. After his last step, he notices that he has just reached the point where he has started. If his first two displacements are respectively 5.0 m, 25 degrees North of East and 24.0 m, 30 degrees West of North, what is his third displacement?arrow_forward30. In an assembly operation illustrated in Figure P3.30, a robot moves an object first straight upward and then also to the cast, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an east-west vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a north-south North vertical plane. Find (a) the magnitude of the total dis- placement of the object and (b) the angle the total displacement makes with the vertical. East Figure P3.30arrow_forwardWhile vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote chases you 260 m southwest, then you walk 300 m in a direction 40° east of north. First draw an accurate graphical representation of your motion using a ruler and a protractor. Then use either trigonometry or components to find the displacement (in m) that will return you to your starting point by the most direct route.arrow_forward
- Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring a new planet. Morty starts by driving east, but after 30 mi he comes to a detour that takes him 15 mi south before going east again. He then drives 8 mi east before his motorcycle runs out of gas. Rick flies over in his spaceship to pick him up. What is Rick’s displacement vector? Give your answer (a) in component form, using a coordinate system in which the y-axis points north, and (b) as a magnitude and direction.arrow_forwardThe position vector r describes the path of an object moving in space. Find the velocity v (t), speeds (t), and acceleration a (t), of the object. r(t) = (et cos(t), et sin(t), et) v(t) = +arrow_forwardA man walks and has a total trip consisting of four straight-line paths as follow: Path A is 70.0 m, due East. Path B is 290.0 m, due South. Path C is 120.0 m, 30.0° South of West. Path D is 190.0 m, 60.0° North of West. What is the magnitude and direction of their overall displacement?arrow_forward
- The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are e, = 32.0°, e, = 49.0°, and0z = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and dz = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. de (a) Number Units (b) Number Unitsarrow_forward1. A man walks 1.80 km north and then 2.00 km west, all in 3.40 hours. (a) What is the magnitude (in km) and direction (in degrees north of west) of his displacement during the given time? (b) What is the magnitude (in km/h) and direction (in degrees north of east) of his average velocity during the given time? (c) What was his average speed (in km/h) during the same time interval?arrow_forwardI have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins his journey by traveling 58 meters in a direction directly south. He then runs 100.0 meters in a direction 30◦north of west. During the last leg of his journey, he follows a scent for 59 meters in a direction 30◦east of north. What distance does Wags end up from his initial startingpoint?arrow_forward
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