Answered: Problem An explorer in Antarctica…

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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Question

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	m	m
B = 180 m 72^o NW	m	m
C = 150 m S	m	m
Resultant	m	m

Thus, the magnitude of the resultant vector is

R = m

With a direction of

θ = ^o NW

Therefore, the vector needed for him to successfully get back home is

R_home = m ^o SE

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