University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 1, Problem 1.64P
A sailor in a small sailboat encounters shifting winds. She sails 2.00 km cast, next 3.50 km southeast, and then an additional distance in an unknown direction. Her final position is 5.80 km directly cast of the starting point (Fig. P1.64). Find the magnitude and direction of the third leg of the journey. Draw the vector-addition diagram and show that it is in qualitative agreement with your numerical solution.
Figure P1.64
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A commuter airplane starts from an airport and takes theroute 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, theplane flies 190. km due west, to city C. Find the location ofcity C relative to the location of the starting point.
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…
Figure E1.28
y
В (15.0 m)
D (10.0 m)
30.0°
53.00
25.0°
Č (12.0 m)
A (8.00 m)
3. Given the vectors on Fig E1.28:
a. Find the components of each
vector. Express your answers in î , ĵ,
and k notation.
Chapter 1 Solutions
University Physics with Modern Physics (14th Edition)
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