### Learning Goal:A particle of mass \(M\) moves along a straight line with initial speed \(v_i\). A force of magnitude \(F\) pushes the particle a distance \(s\) along the direction of its motion.#### Explanation:- **Particle**: Object with mass \(M\).- **Initial Speed**: \(v_i\), the speed of the particle before any force is applied.- **Force**: Magnitude \(F\), the push or pull acting on the particle.- **Distance**: \(s\), the length over which the force moves the particle.This section aims to explore the relationship between force, mass, acceleration, and distance in the context of motion in one dimension. The concepts applied here are fundamental to understanding Newton's laws of motion and the work-energy theorem. There are no graphs or diagrams to explain in this particular image. For the next two parts, assume that the particle’s mass is increased to 3M, while all other parameters in the problem introduction remain the same.### Part BBy what multiplicative factor, \(R_T\), does the initial kinetic energy increase, and by what multiplicative factor, \(R_U\), does the work done by the force increase (with respect to the case when the particle had a mass \(M\))?If one of the quantities doubles, for instance, it would increase by a factor of 2. If a quantity stays the same, then the multiplicative factor would be 1.**Express your answers numerically separated by a comma.**\[ R_T, \, R_U = \frac{1}{2}3Mv^2.3k \]**Buttons to submit:**- **Submit** (with a dropdown showing previous answers)- **Previous Answers**An error message is shown: ```Incorrect; Try Again; 5 attempts remaining```**Next part:**- **Part C** (indicating there is another question part left unanswered)**Additional Notes:**- The given mathematical expression appears to be a combination of kinetic energy and work done equations, which are fundamental concepts in classical mechanics.

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Answered: Learning Goal: A particle of mass M…

Learning Goal: A particle of mass M moves along a straight line with initial speed v₁. A force of magnitude F pushes the particle a distance s along the direction of its motion.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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