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Physics / Physics: Principles with Applications 6 / Chapter 3 / Problem 15P

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Answer: The summit of a mountain, 2450 m above base camp,

Chapter 3, Problem 15P

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QUESTION:

Problem 15P

The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally from the camp m a direction 32.4° west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x axis east, y axis north, and z axis up.

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QUESTION:

Problem 15P

The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally from the camp m a direction 32.4° west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x axis east, y axis north, and z axis up.

ANSWER:

Solution 15P

Step 1 of 3:

The summit of a mountain is at a height h from its base camp. And the base camp is at a distance d horizontally from the camp at an angle θ west of north. We are going to find the components of the displacement from the camp to summit and the magnitude.

The height above the base camp to the summit h = 2450 m

The horizontal distance d from the camp to summit d = 4580 m

The angle from the camp to the summit θ = 32.4°

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