Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W m N E 0 What is the resultant displacement from the entrance? magnitude direction south of east Final position

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 Description:**

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.)

**Diagram Explanation:**

- The diagram includes arrows indicating Mariana's path from the cave entrance to the final position.
- The path includes movements labeled with directions N (north), E (east), S (south), and W (west).
- A red angle labeled θ indicates the direction of the 101 m movement, marked as 30.0° north of east.
- The trajectory consists of segments with arrows indicating direction and length of travel.

**Questions:**

What is the resultant displacement from the entrance?

- **Magnitude:** _____ m
- **Direction:** _____ ° south of east
Transcribed Image Text:**Problem Description:** Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) **Diagram Explanation:** - The diagram includes arrows indicating Mariana's path from the cave entrance to the final position. - The path includes movements labeled with directions N (north), E (east), S (south), and W (west). - A red angle labeled θ indicates the direction of the 101 m movement, marked as 30.0° north of east. - The trajectory consists of segments with arrows indicating direction and length of travel. **Questions:** What is the resultant displacement from the entrance? - **Magnitude:** _____ m - **Direction:** _____ ° south of east
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