College Physics
1st Edition
ISBN: 9781938168048
Author: Paul Peter Urone, OpenStax, Roger Hinrichs
Publisher: OpenStax
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Textbook Question
Chapter 3, Problem 4PE
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 3.55, then this problem asks you to find 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.)
Solve the following problem using analytical techniques: Suppose you walk 15.5 m straight west and then 24.5 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 the figure below, then this problem asks you to find
their sum R = A + B. Give the direction in degrees north of west.)
magnitude
direction
B
A
R
m
A+B=R
X
o north of west
W
N
S
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
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- A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forwardConsider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.arrow_forwardA delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.arrow_forward
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- 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 Earrow_forwardA commuter airplane starts from an airport and takes the route shown in Figure P3.17. 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. distance km angle o west of north y(km) 250 E B W E 200 20.0° b R 150 00 110° a S0.0 x (km) 50 100 150 200 Figure P3.17arrow_forwardCan you help me with this question? A biker bikes 13 miles 41 degrees west of north and then 23 miles south. What is his net displacement vector and its magnitude and displacement angle.arrow_forward
- Given the vector techniques you worked on in the lab, answer the follow question: suppose you first walk 12 m in a direction 20° west of north, then 20 m in a direction 40° south of west, then 14 m in a direction 30° east of north, and finally 19 m in a direction 40° east of south. How far are you (as the crow flies) from your starting point, and what is the compass direction (west of south) of a line connecting your starting point to your final position?arrow_forwardI have already figured out Part A. I just need help with Part B. I have determined that Part B would be 54.3 degrees North of West, but the problem is asking for the degress West of North. Thanks!arrow_forwardSolve the following problem using analytical techniques:Suppose you walk 18.0 m straight west and then 25.0 mstraight north. How far are you from your starting point, andwhat is the compass direction of a line connecting yourstarting point to your final position? (If you represent the twolegs of the walk as vector displacements A and B , then this problem asks you to find their sumR = A + B .)Note that you can also solve this graphically. Discuss why theanalytical technique for solving this problem is potentiallymore accurate than the graphical techniquearrow_forward
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