As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force F, of magnitude 6.80 units acts on a box at the origin in a direction 6 = 29.0° above the positive x-axis. A second force F, of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F, + Fa magnitude units direction o counterclockwise from the +x-axis

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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**Text Transcription for Educational Website:**

As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it.

In the figure below, a force \( F_1 \) of magnitude 6.80 units acts on a box at the origin in a direction \( \theta = 29.0^\circ \) above the positive x-axis. A second force \( F_2 \) of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force \( F_1 + F_2 \).

**Diagram Explanation:**

- The diagram shows a box at the origin with two forces acting upon it.
- \( F_1 \) is represented by an arrow pointing in a direction \( 29.0^\circ \) above the positive x-axis.
- \( F_2 \) is represented by an arrow pointing directly upward in the direction of the positive y-axis.

**Inputs for Solution:**

- An input box for the magnitude of the resultant force in units.
- An input box for the direction of the resultant force counterclockwise from the positive x-axis in degrees.
Transcribed Image Text:**Text Transcription for Educational Website:** As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force \( F_1 \) of magnitude 6.80 units acts on a box at the origin in a direction \( \theta = 29.0^\circ \) above the positive x-axis. A second force \( F_2 \) of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force \( F_1 + F_2 \). **Diagram Explanation:** - The diagram shows a box at the origin with two forces acting upon it. - \( F_1 \) is represented by an arrow pointing in a direction \( 29.0^\circ \) above the positive x-axis. - \( F_2 \) is represented by an arrow pointing directly upward in the direction of the positive y-axis. **Inputs for Solution:** - An input box for the magnitude of the resultant force in units. - An input box for the direction of the resultant force counterclockwise from the positive x-axis in degrees.
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