PHYSICS 1250 PACKAGE >CI<
9th Edition
ISBN: 9781305000988
Author: SERWAY
Publisher: CENGAGE LEARNING (CUSTOM)
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Textbook Question
Chapter 3, Problem 3.41P
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector
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Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
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Chapter 3 Solutions
PHYSICS 1250 PACKAGE >CI<
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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