The 9 lb particle is subjected to the action of its weight and forces F₁ = {2i + 6j - 2tk} lb, F₂ = {t²i - 4tj - 1k} lb, and F3 = {-2ti} lb, where t is in seconds. (Figure 1) Figure x 1 of 1 Part A Determine the distance the ball is from the origin 4 s after being released from rest. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) S= 197 μA ft Submit Previous Answers Provide Feedback ? * Incorrect; Try Again; One attempt remaining Next >

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4. part a please

## Educational Content on Particle Motion

### Problem Description
A 9 lb particle is subjected to the action of its weight and three forces:
- \( \mathbf{F_1} = \{2t \mathbf{i} + 6t \mathbf{j} - 2tk \} \) lb
- \( \mathbf{F_2} = \{t^2 \mathbf{i} - 4t \mathbf{j} - 1k \} \) lb
- \( \mathbf{F_3} = \{-2ti \} \) lb,

where \( t \) is in seconds. (Refer to Figure 1)

### Task
Determine the distance the ball is from the origin 4 seconds after being released from rest. Your answer should include three significant figures and appropriate units.

### Input Form
- Distance \( s = \) [Input value: 197] ft

**Status:** Incorrect; Try Again; One attempt remaining.

### Graphical Diagram Explanation
- The Figure shows a 3D coordinate system with forces \( \mathbf{F_1} \), \( \mathbf{F_2} \), and \( \mathbf{F_3} \) represented as arrows. Each force acts along specific axes with direction and magnitude indicated by the arrow's orientation and length.

### Feedback and Attempts
Ensure calculations are accurate and check vector components. Use the conditions of motion to verify results. Adjust calculations as necessary before submitting the final answer.
Transcribed Image Text:## Educational Content on Particle Motion ### Problem Description A 9 lb particle is subjected to the action of its weight and three forces: - \( \mathbf{F_1} = \{2t \mathbf{i} + 6t \mathbf{j} - 2tk \} \) lb - \( \mathbf{F_2} = \{t^2 \mathbf{i} - 4t \mathbf{j} - 1k \} \) lb - \( \mathbf{F_3} = \{-2ti \} \) lb, where \( t \) is in seconds. (Refer to Figure 1) ### Task Determine the distance the ball is from the origin 4 seconds after being released from rest. Your answer should include three significant figures and appropriate units. ### Input Form - Distance \( s = \) [Input value: 197] ft **Status:** Incorrect; Try Again; One attempt remaining. ### Graphical Diagram Explanation - The Figure shows a 3D coordinate system with forces \( \mathbf{F_1} \), \( \mathbf{F_2} \), and \( \mathbf{F_3} \) represented as arrows. Each force acts along specific axes with direction and magnitude indicated by the arrow's orientation and length. ### Feedback and Attempts Ensure calculations are accurate and check vector components. Use the conditions of motion to verify results. Adjust calculations as necessary before submitting the final answer.
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It looks like a mistake was made. s=368 ft. Could you please re-do this problem?

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