Problems & Exercises Search this book Q 5. Suppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.51, then this problem finds their sum R = A + B.) N A + B = R УА W 40° S B A B = 20 m A = 12 m -20° Ꮎ X R Figure 3.51 E 6. Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the same final result. That is, you first walk leg B, which is 20.0 m in a direction exactly 40° south of west, and then leg A, which is 12.0 m in a direction exactly 20° west of north. (This problem shows that A+B B+A.) 7. (a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0°). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° east of south (which is equivalent to subtracting A from B-that is, to finding R" B-A-R). Show that =

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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Problems & Exercises
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5. Suppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0° south
of west. How far are you from your starting point, and what is the compass direction of a line connecting
your starting point to your final position? (If you represent the two legs of the walk as vector
displacements A and B, as in Figure 3.51, then this problem finds their sum R = A + B.)
N
A + B = R
УА
W
40°
S
B
A
B = 20 m
A = 12 m
-20°
Ꮎ
X
R
Figure 3.51
E
6. Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the same
final result. That is, you first walk leg B, which is 20.0 m in a direction exactly 40° south of west, and then
leg A, which is 12.0 m in a direction exactly 20° west of north. (This problem shows that
A+B
B+A.)
7. (a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0°).
(b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° east of
south (which is equivalent to subtracting A from B-that is, to finding R" B-A-R). Show that
=
Transcribed Image Text:Problems & Exercises Search this book Q 5. Suppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.51, then this problem finds their sum R = A + B.) N A + B = R УА W 40° S B A B = 20 m A = 12 m -20° Ꮎ X R Figure 3.51 E 6. Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the same final result. That is, you first walk leg B, which is 20.0 m in a direction exactly 40° south of west, and then leg A, which is 12.0 m in a direction exactly 20° west of north. (This problem shows that A+B B+A.) 7. (a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0°). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° east of south (which is equivalent to subtracting A from B-that is, to finding R" B-A-R). Show that =
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