Fundamentals of Physics, Extended
12th Edition
ISBN: 9781119773474
Author: David Halliday; Robert Resnick; Jearl Walker
Publisher: Wiley Global Education US
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 70P
A woman walks 250 m in the direction 30° east of north, then 175 m directly east. Find (a) the magnitude and (b) the angle of her final displacement from the starting point. (c) Find the distance she walks. (d) Which is greater, that distance or the magnitude of her displacement?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A woman walks 250 m in the direction 30° east of north, then 175 m directly east. Find (a) the magnitude and (b) the angle of her final displacement from the starting point. (c) Find the distance she walks. (d) Which is greater, that distance or the magnitude of her displacement?
Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper makes four jumps. The
displacement vectors are (1) 37.0 cm, due west; (2) 28.0 cm, 48.0° south of west; (3) 24.0 cm, 69.0° south of east; and (4) 22.0 cm, 53.0
north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with
respect to due west.
(a) Number i 69.5955
(b) Number i 60.8546
72
73
0₁
Units cm 10
Units
7₁
W
Start
Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper makes four jumps. The
displacement vectors are (1) 37.0 cm, due west; (2) 28.0 cm, 48.0° south of west; (3) 24.0 cm, 69.0° south of east; and (4) 22.0 cm, 53.0
north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with
respect to due west.
(a) Number i
(b) Number
72
8,
Units
Units
FAI
A
+
7₁
W
Start
N
B
Chapter 3 Solutions
Fundamentals of Physics, Extended
Ch. 3 - Can the sum of the magnitudes of two vectors ever...Ch. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - If ab=ac, must b equal c?Ch. 3 - In a game held within a three-dimensional maze,...Ch. 3 - Which of the following are correct meaningful...Ch. 3 - SSM What are a the x component and b the y...Ch. 3 - SSM The x component of vector A is 25.0 m and the...Ch. 3 - Express the following angles in radians: a 20.0, b...
Ch. 3 - A ship sets out to sail to a point 120 km due...Ch. 3 - Consider two displacements, one of magnitude 3 m...Ch. 3 - A person walks in the following pattern: 3.1 km...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - SSM a In unit-vector notation, what is the sum a ...Ch. 3 - A car is driven east for a distance of 50 km, then...Ch. 3 - A person desires to reach a point that is 3.40 km...Ch. 3 - You are to make four straight-line moves over a...Ch. 3 - For the displacement vectors a=(3.0m)i+(4.0m)j and...Ch. 3 - GO ILW Three vectors a, b, and c each have a...Ch. 3 - Prob. 18PCh. 3 - In a game of lawn chess, where pieces are moved...Ch. 3 - An explorer is caught in a whiteout in which the...Ch. 3 - GO An ant, crazed by the Sun on a hot Texas...Ch. 3 - a What is the sum of the following four vectors in...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - GO Oasis B is 25 km due east of oasis A. Starting...Ch. 3 - What is the sum of the following four vectors in a...Ch. 3 - GO If d+d2=5d3,d1d2=3d3, and d3=2 i +4 j , then...Ch. 3 - Two beetles run across flat sand, starting at the...Ch. 3 - GO Here are two vectors: a=(4.0m)i...Ch. 3 - For the vectors in Fig. 3-32, with a = 4, b = 3,...Ch. 3 - If d1=3i2j+4k and d2=5i+2jk, then what is...Ch. 3 - Prob. 37PCh. 3 - GO For the following three vectors, what is...Ch. 3 - Prob. 39PCh. 3 - GO Displacement d1 is in the yz plane 63.0 from...Ch. 3 - SSM ILW WWW Use the definition of scalar product,...Ch. 3 - Prob. 44PCh. 3 - Prob. 46PCh. 3 - Vectors A and B lie in an xy plane. A has...Ch. 3 - GO Two vectors a and b have the components, in...Ch. 3 - SSM A sailboat sets out from the U.S. side of Lake...Ch. 3 - Vector d1 is in the negative direction of a y...Ch. 3 - Prob. 53PCh. 3 - A particle undergoes three successive...Ch. 3 - Find the sum of the following four vectors in a...Ch. 3 - Prob. 57PCh. 3 - A vector d has a magnitude of 2.5 m and points...Ch. 3 - A has the magnitude 12.0 m and is angled 60.0...Ch. 3 - Prob. 60PCh. 3 - A golfer takes three putts to get the ball into...Ch. 3 - Prob. 63PCh. 3 - SSM WWW A room has dimensions 3.00 m height 3.70...Ch. 3 - A protester carries his sign of protest, starting...Ch. 3 - Consider a in the positive direction of x, b in...Ch. 3 - Let i be directed to the east, j be directed to...Ch. 3 - A woman walks 250 m in the direction 30 east of...Ch. 3 - A vector d has a magnitude 3.0 m and is directed...Ch. 3 - A fire ant, searching for hot sauce in a picnic...Ch. 3 - Two vectors are given by a = 3.0 i 5.0 j and b =...Ch. 3 - Prob. 74PCh. 3 - Find a north cross west, b down dot south, c east...Ch. 3 - A vector B, with a magnitude of 8.0 m, is added to...Ch. 3 - A man goes for a walk, starting from the origin of...Ch. 3 - What is the magnitude of a b a if a = 3.90, b =...Ch. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - Prob. 81PCh. 3 - Prob. 82PCh. 3 - Prob. 83PCh. 3 - Prob. 84PCh. 3 - Prob. 85PCh. 3 - Prob. 86PCh. 3 - Prob. 87PCh. 3 - Prob. 88P
Additional Science Textbook Solutions
Find more solutions based on key concepts
Obtain expression (5-23) from equation (5-22). Using cos=cos2(12)sin2(12) and sin=2sin(12)cos(12) , first conve...
Modern Physics
An aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are in thermal ...
Physics for Scientists and Engineers, Technology Update (No access codes included)
12. What is the fundamental metric unit for land area?
Applied Physics (11th Edition)
Choose the best answer to each of the following Explain your reasoning. In the Drake equation, what would flife...
The Cosmic Perspective Fundamentals (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forwardVector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?arrow_forwardA delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forward
- Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper makes four jumps. The displacement vectors are (1) 38.0 cm, due west; (2) 35.0 cm, 25.0° south of west; (3) 18.0 cm, 53.0° south of east; and (4) 22.0 cm, 66.0° north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with respect to due west. Start N W 03 S (a) Number Units (b) Number Unitsarrow_forwardMultiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper makes four jumps. The displacement vectors are (1) 37.0 cm, due west; (2) 34.0 cm, 32.0° south of west; (3) 20.0 cm, 58.0° south of east; and (4) 17.0 cm, 79.0° north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with respect to due west. 7₁ (a) Number i (b) Number i 72, 73 Units Units 74 W Start N S Earrow_forwardA novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.9m to the north, 9.4 m 45° north of east, and 9.5m 50° west of south. Starting at the same initial point, an expert could make the hole in a single displacement. What is the magnitude of this single displacement in meters?arrow_forward
- Oasis B is 9.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km ina direction 15.0° south of east and then walks 34 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°]) should it walk? (a) Units (a) Number i Units (b) Number iarrow_forwardThe 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)arrow_forwardOasis B is 6.0 km due east of oasis A. Starting from oasis A, a camel walks 22 km in a direction 15.0° south of east and then walks 33 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°]) should it walk? (a) Number M. (b) Number i y A d (a) B x Units Unitsarrow_forward
- Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper makes four jumps. The displacement vectors are (1) 39.0 cm, due west; (2) 29.0 cm, 30.0 ° south of west; (3) 15.0 cm, 52.0 ° south of east; and (4) 23.0 cm, 63.0 ° north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with respect to due west. Start N 03 73 04arrow_forwardOasis B is 9.0km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction 15.0° south of east and then walks 34 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°]) should it walk? Gruen data : Distance between A AND B'is d = 9,0 Km Please Note: step I step 2 all the answeRs are correct, The vector diagram of displacement of camel is shown below. A From step 4 (b) Please explain (Cindetail Why y ou use the 270° Qnd - tan () insteod of ton" ) Theunk jou! N R d2 W- B E C E In above figure: Step 4 d, = 20 km (а) d, = 34 km The distance travelled by the camel to reach the oasis B is: JBC + DC DB = Step 3 (10.318 km ) +(28.823 km )* = 30.6 km From geometrical property: (b) * Explaruthion, Please BC = AC – AB = d̟ cos15° - d = (20 km ) cos15° – 9.0 km 0 = 270° – ZCDB = 10.318 km The direction of displacement relative to positive x-axis is ВС = 270°- tan DC DC = DE - CE…arrow_forwardOasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction 15.0° south of east and thenwalks 30 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°] should it walk?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY