1.22. For the vectors A and B Figure E1.2 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- Ď (10.0 m) 25.0° C (12.0 m) 53.0° B (15.0 m) 30.0° 0 X A (8.00 m) the mag-

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 counterclockwise from that axis. Find angle for a
vector that has these components: (a) A, = 2.00 m, Ay = -1.00 m;
(b) A = 2.00 m, Ay = 1.00 m; (c) Ax = -2.00 m, Ay
(d) Ax = -2.00 m, Ay = -1.00 m.
1.25. Compute the x- and y-components of the vectors A, B, C, and
= 1.00 m;
D in Fig. E1.22.
Transcribed Image Text: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 counterclockwise from that axis. Find angle for a vector that has these components: (a) A, = 2.00 m, Ay = -1.00 m; (b) A = 2.00 m, Ay = 1.00 m; (c) Ax = -2.00 m, Ay (d) Ax = -2.00 m, Ay = -1.00 m. 1.25. Compute the x- and y-components of the vectors A, B, C, and = 1.00 m; D in Fig. E1.22.
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