Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 3, Problem 3.44P
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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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
72
8,
Units
Units
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A
+
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W
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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
S
E
Chapter 3 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 3 - Which of the following are vector quantities and...Ch. 3 - The magnitudes of two vectors A and B are A = 12...Ch. 3 - If vector B is added to vector A, which two of the...Ch. 3 - Choose the correct response to make the sentence...Ch. 3 - For which of the following vectors is the...Ch. 3 - What is the magnitude of the vector (10i 10k)...Ch. 3 - A vector lying in the xy plane has components of...Ch. 3 - Figure OQ3.3 shows two vectors D 1, and D2. Which...Ch. 3 - The culling tool on a lathe is given two...Ch. 3 - The magnitude of vector A is 8 km, and the...
Ch. 3 - Let vector point from the origin into the second...Ch. 3 - Yes or no: Is each of the following quantities a...Ch. 3 - What is the y component of the vector (3i 8k)...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 - Vector lies in the xy plane. Both of its...Ch. 3 - A submarine dives from the water surface at an...Ch. 3 - A vector points from the origin into the second...Ch. 3 - Is it possible to add a vector quantity to a...Ch. 3 - Can the magnitude of a vector have a negative...Ch. 3 - Prob. 3.3CQCh. 3 - Prob. 3.4CQCh. 3 - Prob. 3.5CQCh. 3 - The polar coordinates of a point are r = 5.50 in...Ch. 3 - The rectangular coordinates of a point are given...Ch. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 3.4PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Let the polar coordinates of the point (x, y) be...Ch. 3 - A surveyor measures the distance across a straight...Ch. 3 - Vector A has a magnitude of 29 units and points in...Ch. 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 - A plane flies from base camp to Lake A, 280 km...Ch. 3 - A vector has an x component of 25.0 units and a y...Ch. 3 - Vector has a magnitude of 35.0 units and points in...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 - Obtain expressions in component from for the...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 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. 3.23PCh. 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 oil 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 - Consider the three displacement vectors m, m,...Ch. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 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. 3.37PCh. 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 - A radar station locates a sinking ship at range...Ch. 3 - Review. As it passes over Grand Bahama Island, the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - In Figure P3.33, the line segment represents a...Ch. 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 - A vector is given by R=2i+j+3k. Find (a) the...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 - Lei A = 60.0 cm at 270 measured from the...Ch. 3 - After a ball rolls off the edge of a horizontal...Ch. 3 - Review. The instantaneous position of an object is...Ch. 3 - Ecotourists use their global positioning system...Ch. 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_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
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