Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table. H+F = ??? List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are -). Scale: 1 square = 10 km along edge Vector y H -30 20 A F -30 -30 Resultant -60 -10 Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW direction of R. R Magnitude: km Check Answers Direction: CCW

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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**Vector Addition: Finding the Resultant**

**Objective:** Determine the magnitude and direction of the resultant for the vector addition equation.

**Problem:** H + F = ???

**Scale:** Each square represents 10 km along the edge.

**Instructions:**
1. Use the diagram and scale provided to determine the magnitude and direction of the resultant vector.
2. Begin by filling in the table with the given vector values.

**Diagram Explanation:**
- The grid displays various vectors (A-I), each with a specific direction and length.

**Vector Table:**
- Vector H: x = -30, y = 20
- Vector F: x = -30, y = -30
- Resultant: x = -60, y = -10

**Procedure:**
- List the magnitude and direction of each vector. Use a positive or negative sign for direction (left and down are negative).

**Calculation:**
- Use the provided table values, diagram, SOH CAH TOA formulas, and the Pythagorean theorem to calculate:
  - **Magnitude:** [ ] km
  - **Direction:** [ ] ° counterclockwise (CCW)

**Final Step:**
- Enter your calculated values in the provided boxes and click "Check Answers" to verify.

This exercise helps in understanding vector addition, calculating resultants, and applying trigonometric concepts.
Transcribed Image Text:**Vector Addition: Finding the Resultant** **Objective:** Determine the magnitude and direction of the resultant for the vector addition equation. **Problem:** H + F = ??? **Scale:** Each square represents 10 km along the edge. **Instructions:** 1. Use the diagram and scale provided to determine the magnitude and direction of the resultant vector. 2. Begin by filling in the table with the given vector values. **Diagram Explanation:** - The grid displays various vectors (A-I), each with a specific direction and length. **Vector Table:** - Vector H: x = -30, y = 20 - Vector F: x = -30, y = -30 - Resultant: x = -60, y = -10 **Procedure:** - List the magnitude and direction of each vector. Use a positive or negative sign for direction (left and down are negative). **Calculation:** - Use the provided table values, diagram, SOH CAH TOA formulas, and the Pythagorean theorem to calculate: - **Magnitude:** [ ] km - **Direction:** [ ] ° counterclockwise (CCW) **Final Step:** - Enter your calculated values in the provided boxes and click "Check Answers" to verify. This exercise helps in understanding vector addition, calculating resultants, and applying trigonometric concepts.
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