**Motion of a Block with Three Forces**Three forces of magnitudes F₁ = 4.0 N, F₂ = 6.0 N, and F₃ = 2.0 N are applied to the block and the angles in the figure below show the directions of the forces in the plane. - **F₁** is directed at an angle of 252°.- **F₂** is directed at an angle of 322°.- **F₃** is directed at an angle of 235°.The angles are measured counterclockwise from the positive x-axis (i.e., all angles are positive).**Figure Description**The figure shows a block with three forces acting upon it, depicted as arrows emerging from the block. The forces are labeled with their respective magnitudes and angled directions:- **F₁** is represented by an arrow pointing towards the lower left, labeled with the angle 252°.- **F₂** is represented by an arrow pointing towards the lower right, labeled with the angle 322°.- **F₃** is represented by an arrow pointing directly downwards, labeled with the angle 235°.**Parts**- **Part A:** Determine the magnitude of the resultant force \( \vec{F}_\text{R} = \vec{F}_1 + \vec{F}_2 + \vec{F}_3 \) acting on the block. Report the magnitude of the resultant force in newtons to two significant figures. - **Part B:** At what angle does \( \vec{F}_\text{R} \) act with the positive x-axis? Express your answer in degrees to two significant figures.Interactive elements, such as input boxes, are used for entering answers, but they are not visible in this transcription.

Answered: Image /qna-images/answer/49a4feec-a803-4c88-b3db-41fbd8cdea3d.jpg

ellumHMAC=fcd4f7509d830914f389229238675231#10001 Motion of a Block with Three Forces < 5 of 7 > magnitudes F = 4.0 N, F, = 6.0N, Three forces and F = 8.ON are applied to a block of mass m = 2.0 kg initially at rest, at angles shown on the diagram. (Figure 1)ln this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (ie., all angles are positive). Part A I Review | Constants | Penodic Table Calculate the magnitude of the resultant force F, = F + F2+ F2 acting on the block Express the magnitude of the resultant force in newtons to two significant figures. > View Available Hint/s) N Figure 1 of 1 Part B What angle does F, make with the positivex axis? Express your answer degrees to two significant figures. • View Available Hint(s) F 325° 25° F degrees DarSon 623 AM 10/5/2021 59°F Cloudy earch

ellumHMAC=fcd4f7509d830914f389229238675231#10001 Motion of a Block with Three Forces < 5 of 7 > magnitudes F = 4.0 N, F, = 6.0N, Three forces and F = 8.ON are applied to a block of mass m = 2.0 kg initially at rest, at angles shown on the diagram. (Figure 1)ln this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (ie., all angles are positive). Part A I Review | Constants | Penodic Table Calculate the magnitude of the resultant force F, = F + F2+ F2 acting on the block Express the magnitude of the resultant force in newtons to two significant figures. > View Available Hint/s) N Figure 1 of 1 Part B What angle does F, make with the positivex axis? Express your answer degrees to two significant figures. • View Available Hint(s) F 325° 25° F degrees DarSon 623 AM 10/5/2021 59°F Cloudy earch

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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Question

**Motion of a Block with Three Forces**

Three forces of magnitudes F₁ = 4.0 N, F₂ = 6.0 N, and F₃ = 2.0 N are applied to the block and the angles in the figure below show the directions of the forces in the plane.

- **F₁** is directed at an angle of 252°.
- **F₂** is directed at an angle of 322°.
- **F₃** is directed at an angle of 235°.

The angles are measured counterclockwise from the positive x-axis (i.e., all angles are positive).

**Figure Description**

The figure shows a block with three forces acting upon it, depicted as arrows emerging from the block. The forces are labeled with their respective magnitudes and angled directions:

- **F₁** is represented by an arrow pointing towards the lower left, labeled with the angle 252°.
- **F₂** is represented by an arrow pointing towards the lower right, labeled with the angle 322°.
- **F₃** is represented by an arrow pointing directly downwards, labeled with the angle 235°.

**Parts**

- **Part A:** Determine the magnitude of the resultant force \( \vec{F}_\text{R} = \vec{F}_1 + \vec{F}_2 + \vec{F}_3 \) acting on the block. Report the magnitude of the resultant force in newtons to two significant figures.

- **Part B:** At what angle does \( \vec{F}_\text{R} \) act with the positive x-axis? Express your answer in degrees to two significant figures.

Interactive elements, such as input boxes, are used for entering answers, but they are not visible in this transcription.

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