Answered: a) Show that the energy of the mass is…

a) Show that the energy of the mass is conserved during the motion. What's its potential energy? b) If the mass was originally at rest and at x=A. What's its velocity at x= A/2?

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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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Consider a point mass of m moving in one dimension under a force of F = -kx³.
(a) Show that the energy of the mass is conserved during the motion. What's its potential
energy?
(b) If the mass was originally at rest and at x=A. What's its velocity at x= A/2?

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