Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 3, Problem 32P
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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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 8.00 îm down one aisle. He then makes a 90.0° turn and moves 3.00 m along the y axis. He then makes another 90.0° turn and moves 4.00 m along the x axis. Every shopper who follows these directions correctly ends up 5.00 m from the starting point.
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
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Units
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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.
7₁
(a) Number i
(b) Number i
72,
73
Units
Units
74
W
Start
N
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E
Chapter 3 Solutions
Physics for Scientists and Engineers
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - The magnitudes of two vectors A and B are A = 12...Ch. 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 - For which of the following vectors is the...Ch. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Let the polar coordinates of the point (x, y) be...Ch. 3 - Why is the following situation impossible? A...
Ch. 3 - Vector A has a magnitude of 29 units and points in...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - A minivan travels straight north in the right lane...Ch. 3 - A person walks 25.0 north of east for 3.10 km. How...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 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Consider the three displacement vectors m, m,...Ch. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - Prob. 19PCh. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Review. As it passes over Grand Bahama Island, the...Ch. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - In Figure P3.33, the line segment represents a...Ch. 3 - You are spending the summer as an assistant...Ch. 3 - A person going for a walk follows the path shown...Ch. 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 - Review. The biggest stuffed animal in the world is...Ch. 3 - Ecotourists use their global positioning system...Ch. 3 - A vector is given by R=2i+j+3k. Find (a) the...Ch. 3 - You are working as an assistant to an air-traffic...Ch. 3 - Review. The instantaneous position of an object is...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...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_forwardA basketball player runs 7.00 m due north, then 5.00 m in a direction 30° north of west, and finally 8.00 m due east. How long did the player run? O 3.70 m O 9.50 m 10.2 m O 20.0.marrow_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_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 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_forwardAt a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?arrow_forwardAt a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 60.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? What if? The receiver that catches the football travels 60.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?arrow_forward
- A 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_forwardAt a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 7.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 50.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?What if? The receiver that catches the football travels 65.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?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
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