College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 3, Problem 5PE
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 3.56, then this problem finds their sum
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Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. 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 3.58, then this problem asks you to find their sum R=A+B.)
Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a direction 0₂ = 39.0° 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 the figure below, then this problem finds their sum R = A + B. Give the
direction in degrees south of west.)
distance
direction
A+B=R
B
0₂
R
m
A
YA
W
-0₁
° south of west
N
S
X
E
Proceeding from landmark A, a vehicle moves along city streets 10 km north, then 14.2 km northeast, and finally 2 km south, and arrives at landmark B. What is the distance traveled, and the magnitude of the displacement between the two landmarks?
From the previous problem, what angle east of north does the displacement vector lie?
Chapter 3 Solutions
College Physics
Ch. 3 - Which of the following is a vector: a person's...Ch. 3 - Give a specific example of a vector, stating its...Ch. 3 - What do vectors and scalars have in common? How do...Ch. 3 - Two calipers in a national park hike from their...Ch. 3 - If an airplane plot is told to fly 123 km in a...Ch. 3 - Suppose you take two steps A and B (that is, two...Ch. 3 - Explain why it is not possible to add a scalar to...Ch. 3 - If you take two steps of different sizes, can you...Ch. 3 - Suppose you add two vectors A and B. What relative...Ch. 3 - Give an example of a nonzero vector that has a...
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