Physics for Scientists and Engineers, Volume 1, Chapters 1-22
8th Edition
ISBN: 9781439048382
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 3.64AP
Ecotourists use their global positioning system indicator to determine their location inside a botanical garden as latitude 0.002 43 degree south of the equator, longitude 75.642 38 degrees west. They wish to visit a tree at latitude 0.001 62 degree north, longitude 75.644 26 degrees west. (a) Determine the straight-line distance and the direction in which they can walk to reach the tree as follows. First model the Earth as a sphere of radius 6.37 × 106 m to determine the westward and northward displacement components required, in meters. Then model the Earth as a flat surface to complete the calculation. (b) Explain why it is possible to use these two geometrical models together to solve the problem.
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Chapter 3 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
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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