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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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.
(a) Number i 69.5955
(b) Number i 60.8546
72
73
0₁
Units cm 10
Units
7₁
W
Start
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.
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_forwardFigure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28arrow_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) 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 Barrow_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_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_forwardStarting at the origin, a person walks 350 meters in a direction 30.0° South of20 West, then 570 meters in a direction 35.0° West of North. If the person now wishes to walk in a straight line back to the origin, what must be the magnitude and direction of the displacement?arrow_forward
- A man walks and has a total trip consisting of four straight-line paths as follow: Path A is 70.0 m, due East. Path B is 290.0 m, due South. Path C is 120.0 m, 30.0° South of West. Path D is 190.0 m, 60.0° North of West. What is the magnitude and direction of their overall displacement?arrow_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_forwardAt a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.00 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 40.0 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? Answer: 34.4 yards What if? The receiver that catches the football travels 67.0 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? _______________________yardsarrow_forward
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