Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 1, Problem 6P
A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0°. How wide is the river?
Figure P1.6
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A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x = 100 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is θ = 35.0° (Fig. P1.49). How wide is the river?
71. A commuter airplane starts from an airport and takes the
route shown in Figure P1.71. The plane first flies to city A,
located 175 km away in a direction 30.0° north of east. Next,
it flies for 150. km 20.0° west of north, to city B. Finally, the
plane flies 190. km due west, to city C. Find the location of
city C relative to the location of the starting point.
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200
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Figure P1.71
71. A commuter airplane starts from an airport and takes the
route shown in Figure P1.71. The plane first flies to city A,
located 175 km away in a direction 30.0° north of east. Next,
it flies for 150. km 20.0° west of north, to city B. Finally, the
plane flies 190. km due west, to city C. Find the location of
city Crelative to the location of the starting point.
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250
200
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150
100
50
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20.0°
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dditional Problems
2. (a) Find a conversion factor to convert from miles per hour
to kilometers per hour. (b) For a while, federal law mandated
that the maximum highway speed would be 55 mi/h. Use the
conversion factor from part (a) to find the speed in kilometers
per hour. (c) The maximum highway speed has been raised to
65 mi/h in some places. In kilome
her hour how much of
Chapter 1 Solutions
Physics for Scientists and Engineers with Modern Physics
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- A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardA person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51arrow_forward
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- One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?arrow_forwardshown in Fig. resultant displacement by 1.28 for a different approach.) Figure E1.21 2.6 km START 800 4.0 km STOP 3.1 km 45° 1.22. For the vectors A and B Figure E1.22 Fig. E1.22, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A - B. Use your answers to find the magnitude and direction of (c) - A - B and (d) B-A. (See also Exercise 1.29 for a different approach.) 1.23 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a di- rection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds her- self back where she started. Use a scale drawing to determine the mag- nitude and direction of the fourth displacement. (See also Problem 1.57 for a different approach.) W-E Ď (10.0 m) 25.0° Ć (12.0 m) y 53.00 B (15.0 m) 30.0° 0 X A (8.00 m) Section 1.8 Components of Vectors 1.24 Let be the angle that the vector A makes with the +x- axis, measured…arrow_forwardA surveyor measures the distance across a straight river by thefollowing method: starting directly across from a tree on theopposite bank, he walks x = 1.00 x 102 m along the riverbankto establish a baseline. Then he sights across to the tree. Theangle from his baseline to the tree is θ = 35.0° (Fig. P1.53).How wide is the river?arrow_forward
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