QUESTION 4 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: y-component (w/ sign direction) Given X-component (w/ sign direction) m A = 50 m NE m m B = 180 m 72° NW C = 150 m S 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 O SE Rhome =

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Chapter1: Units, Trigonometry. And Vectors
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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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QUESTION 4
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 retum him to his shelter.
Solution
By vector-component approach, we list down the given in a table as follows:
X-component (w/ sign direction)
y-component (w/ sign direction)
Given
A = 50 m NE
%3D
B 180 m 72° NW
m
C 150 m S
%3D
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
O SE
Rhome =
%3D
EEEE
EEE
Transcribed Image Text:25 QUESTION 4 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 retum him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: X-component (w/ sign direction) y-component (w/ sign direction) Given A = 50 m NE %3D B 180 m 72° NW m C 150 m S %3D 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 O SE Rhome = %3D EEEE EEE
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