**Question:**A 3.0 kg mass with a charge of +0.40 Coulombs is in the presence of an electric field of (3,000 N/C, -2,000 N/C, -1,000 N/C). Neglecting gravity and all other influences, the magnitude of the mass's acceleration is:- A. 0.00 m/s²- B. 317 m/s²- C. 499 m/s²- D. 686 m/s²The correct answer is indicated as C. 499 m/s².---**Explanation:**This problem involves calculating the acceleration of a charged mass in an electric field. By applying Newton's second law, where the force exerted by the electric field is equal to the charge (q) times the electric field strength (E), the acceleration (a) can be determined using the formula:\[ F = q \cdot E \]\[ a = \frac{F}{m} = \frac{q \cdot E}{m} \]Given:- Mass (m) = 3.0 kg- Charge (q) = +0.40 C- Electric field (E) = (3,000 N/C, -2,000 N/C, -1,000 N/C)Calculate the resultant electric field:\[ E_{\text{resultant}} = \sqrt{(3,000)^2 + (-2,000)^2 + (-1,000)^2} \]Then, use the calculated electric field magnitude to find the acceleration:\[ a = \frac{0.40 \times E_{\text{resultant}}}{3.0} \]The answer is option C: 499 m/s². *(Note: The explanation of calculations should be further expanded with steps if required for educational purposes.)*

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1. A 3.0 kg mass with a charge of +0.400 Coulombs is in the presence of an electric field of (3,000 N/C, -2,000 N/C, -1,000 N/C). Neglecting gravity and all other influences, the magnitude of the masses acceleration is: O A. 0.00 m/s² B. 317 m/s? e. 499 m/s O D. 686 m/s

1. A 3.0 kg mass with a charge of +0.400 Coulombs is in the presence of an electric field of (3,000 N/C, -2,000 N/C, -1,000 N/C). Neglecting gravity and all other influences, the magnitude of the masses acceleration is: O A. 0.00 m/s² B. 317 m/s? e. 499 m/s O D. 686 m/s

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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