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) y-component (wl sign direction) A = 50 m NE m B = 180 m 72° NW C = 150 m S Resultant m m 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

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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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)
y-component (w/ sign direction)
A = 50 m NE
B = 180 m 72° NW
m
m
C = 150 m S
Resultant
m
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 =
O SE
m
E E E
E E
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) y-component (w/ sign direction) A = 50 m NE B = 180 m 72° NW m m C = 150 m S Resultant m 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 = O SE m E E E E E
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