Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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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?
A 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?
shown 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…
Chapter 1 Solutions
Physics for Scientists and Engineers
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- Three 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_forwardFigure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 r1)2]1/2, (b) 2(r1 + r2), and (c) h(r12 + r1r2 + r22)/3 with the quantity it describes: (d) the total circumference of the flat circular faces, (e) the volume, or (f) the area of the curved surface. Figure P1.6arrow_forward
- A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forwardA 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 = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53arrow_forwardA 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 = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53arrow_forward
- A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?arrow_forwardUse the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 + 4.003. (See Section 1.4).arrow_forwardOne 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_forward
- 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. t 1 y (km) 250 E N C W E 200 20.0° 150 R 100 110° a 50 30.0° x (km) 50 100 150 200 Figure P1.71arrow_forward71. 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. y (km) 250 200 Figure P1.70 150 100 50 0 č B b 20.0° 1 na Figure P1.71 S 110° 30.00 50 100 150 200 E x (km) 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 ofarrow_forwardFor the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of θ, and (c) the sine of Φ?arrow_forward
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