### Explorer Displacement Calculation**Problem Statement:**While exploring a cave, an explorer starts at the entrance and moves the following distances: She goes 250 m east, 102 m at an angle 30.0° south of east, and 185 m north. Note that the figure is not drawn to scale. Find the horizontal component \( D_x \) of the resultant displacement from the cave entrance measured in meters. **(Give the number only).****Figure Explanation:**- The diagram shows an initial point labeled "Cave entrance."- From this initial point, there is a horizontal line extending to the right (east) indicating the first movement of 250 m east.- From the end of the 250 m east movement, there's another vector extending at a 30° angle south of east indicating the 102 m movement.- Finally, there is a vertical line indicating the explorer's 185 m move towards the north.**Instructions:**Calculate the resultant horizontal displacement \( D_x \) by considering the components of each segment of the explorer's path.**Answer Format:**Provide the horizontal component of the resultant displacement in meters.**Graph/Diagram Details:**- A coordinate system with the origin at the "Cave entrance."- Vectors representing movements: - 250 m directly to the right (east). - 102 m at 30° south of the east. - 185 m vertically upwards (north).- Angles and directions are correctly labeled.---When you have calculated the resultant horizontal displacement, ensure to only input the number value in meters.

Given Data: Here, the given data is represented in the following diagram. Fig 1. Displacement of…

While exploring a cave, an explorer starts at the entrance and moves the following distances. She goes 250 m east, 102 m at an angle 30.0° south of east, and 185 m North (See figure below. Note that the figure is not drawn to scale). Find the horizontal component (Dx) of the resultant displacement from the cave entrance measured in m. (Give the number only). W- E Final position Cave entrance S 0

While exploring a cave, an explorer starts at the entrance and moves the following distances. She goes 250 m east, 102 m at an angle 30.0° south of east, and 185 m North (See figure below. Note that the figure is not drawn to scale). Find the horizontal component (Dx) of the resultant displacement from the cave entrance measured in m. (Give the number only). W- E Final position Cave entrance S 0

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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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

### Explorer Displacement Calculation

**Problem Statement:**
While exploring a cave, an explorer starts at the entrance and moves the following distances: She goes 250 m east, 102 m at an angle 30.0° south of east, and 185 m north. Note that the figure is not drawn to scale. Find the horizontal component \( D_x \) of the resultant displacement from the cave entrance measured in meters. **(Give the number only).**

**Figure Explanation:**
- The diagram shows an initial point labeled "Cave entrance."
- From this initial point, there is a horizontal line extending to the right (east) indicating the first movement of 250 m east.
- From the end of the 250 m east movement, there's another vector extending at a 30° angle south of east indicating the 102 m movement.
- Finally, there is a vertical line indicating the explorer's 185 m move towards the north.

**Instructions:**
Calculate the resultant horizontal displacement \( D_x \) by considering the components of each segment of the explorer's path.

**Answer Format:**
Provide the horizontal component of the resultant displacement in meters.

**Graph/Diagram Details:**
- A coordinate system with the origin at the "Cave entrance."
- Vectors representing movements:
- 250 m directly to the right (east).
- 102 m at 30° south of the east.
- 185 m vertically upwards (north).
- Angles and directions are correctly labeled.

---

When you have calculated the resultant horizontal displacement, ensure to only input the number value in meters.

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