An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopeles lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: Given x-component (w/ sign direction) y-component (w/ sign direction) A = 50 m NE B = 180 m 72° NW C = 150 m S m Resultant Thus, the magnitude of the resultant vector is R = m With a direction of e= O NW Therefore, the vector needed for him to successfully get back home is Rhome = O SE m
An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopeles lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: Given x-component (w/ sign direction) y-component (w/ sign direction) A = 50 m NE B = 180 m 72° NW C = 150 m S m Resultant Thus, the magnitude of the resultant vector is R = m With a direction of e= O NW Therefore, the vector needed for him to successfully get back home is Rhome = O SE m
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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![Problem
An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly
lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter.
Solution
By vector-component approach, we list down the given in a table as follows:
Given
x-component (w/ sign direction)
-component (w/ sign direction)
A = 50 m NE
B = 180 m 72° NW
m
m
C = 150 m S
m
m
Resultant
Thus, the magnitude of the resultant vector is
R =
With a direction of
O NW
Therefore, the vector needed for him to successfully get back home is
Rhome =
SE
m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3802c40c-b058-4c20-89ba-99b872af4698%2F2e4d134d-5ec4-4528-97b0-f9b03a51ff61%2Fqr3qu0i_processed.png&w=3840&q=75)
Transcribed Image Text:Problem
An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly
lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter.
Solution
By vector-component approach, we list down the given in a table as follows:
Given
x-component (w/ sign direction)
-component (w/ sign direction)
A = 50 m NE
B = 180 m 72° NW
m
m
C = 150 m S
m
m
Resultant
Thus, the magnitude of the resultant vector is
R =
With a direction of
O NW
Therefore, the vector needed for him to successfully get back home is
Rhome =
SE
m
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