Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 44P
Why is the following situation impossible? A shopper pushing a cart through a market follows directions to the canned goods and moves through a displacement
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While exploring a cave, a spelunker starts at the
entrance and moves the following distances in a hori-
zontal plane. She goes 75.0 m north, 250 m east, 125 m
at an angle u 5 30.0° north of east, and 150 m south.
Find her resultant displacement from the cave
entrance. Figure P3.21 suggests the situation but is not
drawn to scale.
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.
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(b) Number
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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) 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.
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(b) Number i
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Chapter 3 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - Prob. 3.2QQCh. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - Prob. 3.5QQCh. 3 - What is the magnitude of the vector...Ch. 3 - A vector lying in the xy plane has components of...Ch. 3 - Figure OQ3.3 shows two vectors D1 and D2. Which of...Ch. 3 - The cutting tool on a lathe is given two...Ch. 3 - The magnitude of vector A 8 km, and the magnitude...
Ch. 3 - Prob. 6OQCh. 3 - Yes or no: Is each of the following quantities a...Ch. 3 - What is the y component of the vector (3i-8k)m/s?...Ch. 3 - What is the x component of the vector shown in...Ch. 3 - What is the y component of the vector shown in...Ch. 3 - Prob. 11OQCh. 3 - A submarine dives from the water surface at an...Ch. 3 - Prob. 13OQCh. 3 - Is it possible to add a vector quantity to a...Ch. 3 - Can the magnitude of a vector have a negative...Ch. 3 - A book is moved once around the perimeter of a...Ch. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 4PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Why is the following situation impossible? A...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - While exploring a cave, a spelunker starts at the...Ch. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 23PCh. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - A novice golfer on the green takes three strokes...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - In a game of American football, a quarterback...Ch. 3 - Prob. 31PCh. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - The vector A has x, y, and z components of 8.00,...Ch. 3 - Prob. 34PCh. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Prob. 37PCh. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Express in unit-vector notation the following...Ch. 3 - radar station locates a sinking ship at range 17.3...Ch. 3 - Prob. 43PCh. 3 - Why is the following situation impossible? A...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Prob. 46PCh. 3 - In an assembly operation illustrated in Figure...Ch. 3 - A fly lands on one wall of a room. The lower-left...Ch. 3 - As she picks up her riders, a bus driver traverses...Ch. 3 - A jet airliner, moving initially at 300 mi/h to...Ch. 3 - A person going for a walk follows the path shown...Ch. 3 - Find the horizontal and vertical components of the...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - An air-traffic controller observes two aircraft on...Ch. 3 - In Figure P3.55, a spider is resting after...Ch. 3 - The rectangle shown in Figure P3.56 has sides...Ch. 3 - Prob. 57APCh. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Prob. 61APCh. 3 - Prob. 62APCh. 3 - Prob. 63APCh. 3 - Prob. 64APCh. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A pirate has buried his treasure on an island with...
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- A 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_forwardFigure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13arrow_forwardMultiple 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_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_forwardThe 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_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_forward
- An athlete runs 2.76 km east, then turns 30 degrees south and runs another 0.85 km. What is the magnitude of his displacement?arrow_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_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_forward
- I 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_forwardA sailor in a small sailboat encounters shifting winds. She sails 8.00 km south, then 15 km 30deg E of N, and then 12km 25deg N of W. Use polygon method to determine magnitude and direction of her resultant displacement.arrow_forwardA ladybug is trying to get to a certain flower by following this path. She moves 23 cm to the left, then moves 33 cm at 35.3 degrees North of West (N of W) and then reaches the flower by moving 12 cm at 22.4 degrees North of East (N of E). What is the magnitude of her final displacement?arrow_forward
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