Suppose you first walk A = 12.0 m in a direction 20.0 degrees west of north and then B = 20.0 m in a direction 40.0 degrees south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: 1. In this problem, DO NOT round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. 2. While entering answers in the answer box, enter to 3 significant figures. (a) Find the components of A and B along the E and N directions. Enter to 3 significant figures Ax= Ay= Bx= By= m m m m (b) Find the components of resultant R=A+B along the E and N directions. Enter to 3 significant figures Rx= Ry= m m (c) How far are you from your starting point by calculating the magnitude of R? Enter to 3 significant figures R= m
Suppose you first walk A = 12.0 m in a direction 20.0 degrees west of north and then B = 20.0 m in a direction 40.0 degrees south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: 1. In this problem, DO NOT round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. 2. While entering answers in the answer box, enter to 3 significant figures. (a) Find the components of A and B along the E and N directions. Enter to 3 significant figures Ax= Ay= Bx= By= m m m m (b) Find the components of resultant R=A+B along the E and N directions. Enter to 3 significant figures Rx= Ry= m m (c) How far are you from your starting point by calculating the magnitude of R? Enter to 3 significant figures R= m
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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![(d) Calculate the direction of R with respect to W using analytical methods.
Note: The angle is measured with respect to W not E. (The angle 0 in the figure b
N
Enter to 3 significant figures
8=
A₁ =
degrees south of west
m
W
m
Ө.
Now suppose you first walk B =20 m in a direction 40° south of west and then A =
direction 20° west of north.
m
R
(e) Find the components of B and A along the E and N directions.
Enter to 3 significant figures
Bx=
By=
Ax=
m
S
Ē
(f) Find the components of resultant R=B+A along the E and N directions.
Enter to 3 significant figures](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bc89b86-0319-465b-96a1-f0c9ce452bb7%2F03670c17-2968-423d-bd6a-6b790c91f6d1%2Fcvv1uw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(d) Calculate the direction of R with respect to W using analytical methods.
Note: The angle is measured with respect to W not E. (The angle 0 in the figure b
N
Enter to 3 significant figures
8=
A₁ =
degrees south of west
m
W
m
Ө.
Now suppose you first walk B =20 m in a direction 40° south of west and then A =
direction 20° west of north.
m
R
(e) Find the components of B and A along the E and N directions.
Enter to 3 significant figures
Bx=
By=
Ax=
m
S
Ē
(f) Find the components of resultant R=B+A along the E and N directions.
Enter to 3 significant figures
![Solve the same problem as PART 1 but this time analytically. START with the values
below. DO NOT USE VALUES FROM PART 1.
Suppose you first walk A = 12.0 m in a direction 20.0 degrees west of north and then B=20.0
m in a direction 40.0 degrees south of west. Let the +x-axis coincide with the easterly direction
and the +y-axis with the northerly direction.
Note:
1. In this problem, DO NOT round values if you need to use them for calculations in
subsequent parts. Rounding errors can propagate and can make your final answer lie
outside the tolerance limit of 5% set for this problem.
2. While entering answers in the answer box, enter to 3 significant figures.
(a) Find the components of A and B along the E and N directions.
Enter to 3 significant figures
Ax=
Ay=
Bx=
By=
m
m
m
m
(b) Find the components of resultant R=A+B along the E and N directions.
Enter to 3 significant figures
Rx=
Ry=
m
m
(c) How far are you from your starting point by calculating the magnitude of R?
Enter to 3 significant figures
R=
m
(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bc89b86-0319-465b-96a1-f0c9ce452bb7%2F03670c17-2968-423d-bd6a-6b790c91f6d1%2Fsav2x62_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the same problem as PART 1 but this time analytically. START with the values
below. DO NOT USE VALUES FROM PART 1.
Suppose you first walk A = 12.0 m in a direction 20.0 degrees west of north and then B=20.0
m in a direction 40.0 degrees south of west. Let the +x-axis coincide with the easterly direction
and the +y-axis with the northerly direction.
Note:
1. In this problem, DO NOT round values if you need to use them for calculations in
subsequent parts. Rounding errors can propagate and can make your final answer lie
outside the tolerance limit of 5% set for this problem.
2. While entering answers in the answer box, enter to 3 significant figures.
(a) Find the components of A and B along the E and N directions.
Enter to 3 significant figures
Ax=
Ay=
Bx=
By=
m
m
m
m
(b) Find the components of resultant R=A+B along the E and N directions.
Enter to 3 significant figures
Rx=
Ry=
m
m
(c) How far are you from your starting point by calculating the magnitude of R?
Enter to 3 significant figures
R=
m
(
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