Getting Back. An explorer in Antarctica leaves his shelter

Chapter 1, Problem 1.68

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QUESTION:

Getting Back. An explorer in Antarctica leaves his shelter during a whiteout. He takes 40 steps northeast, next 80 steps at 60 north of west, and then 50 steps due south. Assume all of his steps are equal in length. (a) Sketch, roughly to scale, the three vectors and their resultant. (b) 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

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QUESTION:

Getting Back. An explorer in Antarctica leaves his shelter during a whiteout. He takes 40 steps northeast, next 80 steps at 60 north of west, and then 50 steps due south. Assume all of his steps are equal in length. (a) Sketch, roughly to scale, the three vectors and their resultant. (b) 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

ANSWER:

Step 1 of 4

Given that an explorer takes 40 steps towards northeast making an angle of \(45^{\circ}\), then 80 steps towards north or west making an angle of \(60^{\circ}\) and 50 steps towards the south.

We have to find the distance from the shelter and sketch the given information.

The information given in the question can be considered as vectors and the resultant can be obtained by the vector components.

 

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