Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 40EAP
The treasure map in FIGURE P3.40 gives the following directions to the buried treasure: “Start at the old oak tree, walk due north for 500 paces, then due east for 100 paces. Dig.” But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60° east of north. After walking 300 paces you see an opening through the woods. Which direction should you go, and how far, to reach the treasure?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
L83. While following a treasure map, you start at an old oak tree.
You first walk 825 m directly south, then turn and walk 1.25 km at
30.0° west of north, and finally walk 1.00 km at 40.0° north of
cast, where you find the treasure: a biography of Isaac Newton!
(a) To retum to the old oak trec, in what direction should you head
and how far will you walk? Use components to solve this problem.
A commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.
A rectangular parallelepiped has dimensions a, b, and c as
shown in Figure P3.45. (a) Obtain a vector expression for
the face diagonal vector R,. (b) What is the magnitude
of this vector? (c) Notice that R, ck, and R, make a right
triangle. Obtain a vector expression for the body diagonal
vector R2.
b
Ro
R1
Figure P3.45
Chapter 3 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 3 - Can the magnitude of the displacement vector be...Ch. 3 - If C=A+B, can C = A + B? Can C>A + B? For each,...Ch. 3 - If C=A+B can C = 0? Can C< O? For each, show how...Ch. 3 - Is it possible to add a scalar to a vector? If so,...Ch. 3 - How would you define the zero vector ?Ch. 3 - Can a vector have a component equal to zero and...Ch. 3 - Can a vector have zero magnitude if one of its...Ch. 3 - Suppose two vectors have unequal magnitudes. Can...Ch. 3 - Are the following statements true or false?...Ch. 3 - I. Trace the vectors in FIGURE EX3.1 onto your...
Ch. 3 - Trace the vectors in FIGURE EX3.2 onto your paper....Ch. 3 - a. What are the x- and v-components of vector E...Ch. 3 - A velocity vector 40° below the positive x-axis...Ch. 3 - A position vector in the first quadrant has an...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Let C = (3.15 m, 15° above the negative x-axis)...Ch. 3 - A runner is training for an upcoming marathon by...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Let a. Write Vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Din component form. b. Draw a...Ch. 3 - Let A = 4î - 2j, B = -3î + 5j, and E = 2 A + 3 B...Ch. 3 - Let A = 41 - 2j, B = -3î + 5j, and F = A -4 B . a....Ch. 3 - 17. Let = 2î + 3? and = 2î — 2?. Find the...Ch. 3 - Prob. 18EAPCh. 3 - 19. What are the x– and y- components of the...Ch. 3 - 20. For the three vectors shown Figure EX3.20, + +...Ch. 3 - Prob. 21EAPCh. 3 - 22. Let = (3.0 m, 20° south of east), = (2.0 m,...Ch. 3 - The position of a particle as a function of time...Ch. 3 - a. What is the angle between vectors E and F in...Ch. 3 - FIGURE P3.25 shows vectors A and B . Find vector C...Ch. 3 - Prob. 26EAPCh. 3 - Prob. 27EAPCh. 3 - Prob. 28EAPCh. 3 - The minute hand on a watch is 2.0 cm in length....Ch. 3 - Prob. 30EAPCh. 3 - Ruth sets out to visit her friend Ward, who lives...Ch. 3 - A cannon tilted upward at 30° fires a cannonball...Ch. 3 - Prob. 33EAPCh. 3 - Prob. 34EAPCh. 3 - A pine cone falls straight down from a pine tree...Ch. 3 - Prob. 36EAPCh. 3 - Prob. 37EAPCh. 3 - Your neighbor Paul has rented a truck with a...Ch. 3 - Tom is climbing a 3.0-m-long ladder that leans...Ch. 3 - The treasure map in FIGURE P3.40 gives the...Ch. 3 - The bacterium E. coli is a single-cell organism...Ch. 3 - A flock of ducks is trying to migrate south for...Ch. 3 - FIGURE P3.43 shows three ropes tied together in a...Ch. 3 - I Four forces are exerted on the object shown in...Ch. 3 - FIGURE P3.45 shows four electric charges located...
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
- Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?arrow_forwardA 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_forwardThe same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42arrow_forward
- SVS is running an outdoor skills competition. The race is made up of three different events that involve a swim, a climb, and a zip line. You begin at point S. The finish is at point F, which is 200m from S in a direction 65° north of west. The first part of the race is a 600m swim to an island, B, due west of S. The second part is a climb up a vertical cliff to point C. Point C is at an angle of elevation of 10°, as seen from point S. The third part is a zip down a zip line from point C to the finish at point F. You can swim at 1.5m/s, climb at 0.75m/s, and zip at 15m/s. Zip ining a) Label all points S, B, C and F on the diagram below. [C1] Climbing 200 m 10 65 600 m Swimming b) How long (in minutes) will it take to complete the race? [C2, T8]arrow_forwardProblem 2. New in the city, Armin tried to walk around and see the site. He started on his new apartment, and walked 4.5 km, 30° East of North and then 2.0 kmn, West. Realizing that he was hungry, he remembered that 2.0 km, South of his apartment, there was a McDonalds nearby. How far and in what direction should he walk so he can go to McDonalds and get food to eat? a. Draw a graphical representation of the problem b. Show the table with the x and y components of each vector. c. Show the components of the resultant vector. d. Solve for the magnitude of the resultant vector e. Solve for the angle and specify the direction of the resultant vector.arrow_forwardI ship sails 10 kilometers 40 degrees north of east. It then turns 100 degrees to the west, giving it a new heading of 40 degrees north of west. After sailing another 10 kilometers, how far is the boat (in kilometers) from where it started?arrow_forward
- A baseball player hits a ball at 100 mph, with an initial height of 3 feet at an angle of elevation of30°, at Boston’s Fenway Park. The ball flies towards the gamed “Green Monster”, a wall 37 feethigh located 310 feet from home plate.a. Show that as hit, the ball hits the wall.b. Show that if the angle of elevation is 21°, the ball clears the Green Monster.arrow_forwardSarah is traveling 22km due South. She turns 20° S or E for 16km. She then turns due N for 40km, she then moves 14km at 40° S or W. What is her displacement, and direction?arrow_forwardIn the Death Valley, Nevada, a long stretch of straight road is inclined down about 2.5° with respect to the horizon. What is the change in altitude, if one drives 45 km along the road?arrow_forward
- A plane departs from a small airport in the direction ?30°? and travels for 50 miles.The plane then turns east and travels for 80 miles. How far is the plane from the airport?arrow_forward1. Mimi is traveling 62m 12° South of East and then 37m 8° West of North. At the end of this journey, she asks you for help. A. What is her resultant vector? B. How far and in what direction do you tell her to go so that she can get back to her initial position?arrow_forwardYou walk 33 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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