Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
4th Edition
ISBN: 9780134110646
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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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?
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L83. While following a treasure map, you start at an old oak tree.
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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 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.
Chapter 3 Solutions
Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
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...
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- 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
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- A commuter airplane starts from an airport and takes the route shown in Figure P3.17. 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. distance km angle o west of north y(km) 250 E B W E 200 20.0° b R 150 00 110° a S0.0 x (km) 50 100 150 200 Figure P3.17arrow_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_forwardVector 6.arrow_forward
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