**Understanding Resultant Forces: An Example**A force \( \mathbf{F}_1 \) of magnitude 6.10 units acts on an object at the origin in a direction \( \theta = 54.0^\circ \) above the positive x-axis. (See the figure below.) A second force \( \mathbf{F}_2 \) of magnitude 5.00 units acts on the object in the direction of the positive y-axis.**Objective:** Determine graphically the magnitude and direction of the resultant force \( \mathbf{F}_1 + \mathbf{F}_2 \).- **Magnitude:** ________ units- **Direction:** ________ ° counterclockwise from the +x-axis**Diagram Explanation:**The diagram shows:- A crate at the origin of a coordinate system.- Force \( \mathbf{F}_1 \) shown as an arrow pointing upwards and to the right at an angle of \( 54.0^\circ \) above the positive x-axis.- Force \( \mathbf{F}_2 \) shown as a vertical arrow pointing upwards along the positive y-axis. This setup is intended to illustrate the combination of the two forces graphically to find the resultant force.

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0.10 units and direction of the resultant force F₁+F₂. units magnitude direction counterclockwise from the +x-axis

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

**Understanding Resultant Forces: An Example**

A force \( \mathbf{F}_1 \) of magnitude 6.10 units acts on an object at the origin in a direction \( \theta = 54.0^\circ \) above the positive x-axis. (See the figure below.)

A second force \( \mathbf{F}_2 \) of magnitude 5.00 units acts on the object in the direction of the positive y-axis.

**Objective:**
Determine graphically the magnitude and direction of the resultant force \( \mathbf{F}_1 + \mathbf{F}_2 \).

- **Magnitude:** ________ units
- **Direction:** ________ ° counterclockwise from the +x-axis

**Diagram Explanation:**

The diagram shows:

- A crate at the origin of a coordinate system.
- Force \( \mathbf{F}_1 \) shown as an arrow pointing upwards and to the right at an angle of \( 54.0^\circ \) above the positive x-axis.
- Force \( \mathbf{F}_2 \) shown as a vertical arrow pointing upwards along the positive y-axis.

This setup is intended to illustrate the combination of the two forces graphically to find the resultant force.

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