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 Rx= Ry= m m m (b) Find the components of resultant R=A+B along the E and N directions. Enter to 3 significant figures m m (c) How far are you from your starting point by calculating the magnitude of R?

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 Rx= Ry= m m m (b) Find the components of resultant R=A+B along the E and N directions. Enter to 3 significant figures m m (c) How far are you from your starting point by calculating the magnitude of R?

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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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

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
(

(f) Find the components of resultant R=B+A along the E and N directions.
Enter to 3 significant figures
Rx=
Ry=
m
m
(g) How far are you from your starting point by calculating the magnitude of R?
Enter to 3 significant figures
R=
m
(h) 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 below.)
Enter to 3 significant figures
0 =
W
Ө
N
E
S
degrees south of west
Think: Does the order of adding vectors affect the resultant vector?
Sense-making: Is there an upper bound or a maximum value the resultant can have? Is your
answer consistent with this upper bound?

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