An object of mass m = 0.800 kg moves along the x-axis under the influence of a conservative force that varies according to: F(x) = 2x³ – 8x The potential energy of the object is zero at x = 0. (a) Develop an expression for the potential energy U(x) of this system. (b) The speed of the object is v = 0.200 m/s when the object is located at x = 0.500 m. Given this information, determine: (i) The total mechanical energy of the system (ii) The speed of the object when it is located at x = 0 (c) At what position(s) is the acceleration of the object equal to zero?

An object of mass m = 0.800 kg moves along the x-axis under the influence of a conservative force that varies according to: F(x) = 2x³ – 8x The potential energy of the object is zero at x = 0. (a) Develop an expression for the potential energy U(x) of this system. (b) The speed of the object is v = 0.200 m/s when the object is located at x = 0.500 m. Given this information, determine: (i) The total mechanical energy of the system (ii) The speed of the object when it is located at x = 0 (c) At what position(s) is the acceleration of the object equal to zero?

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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