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he position x(t) of an object moving in 1-D on the a - aris in an inverse-square force held (such as an electromagnetic field) is given by Assume that the initial position of the object is known, i.e. = xo > 0. Show that the velocity of the body at time t is given by v(t) = 2k² (G-)-

he position x(t) of an object moving in 1-D on the a - aris in an inverse-square force held (such as an electromagnetic field) is given by Assume that the initial position of the object is known, i.e. = xo > 0. Show that the velocity of the body at time t is given by v(t) = 2k² (G-)-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The position r(t) of an object moving in 1-D on the r – aris in an inverse-square force field (such as an electromagnetic field) is given by Assume that the initial position of the object is known, i.e. r = xo > 0. Show that the velocity of the body at time t is given by v?(t) = 2k2
Transcribed Image Text:The position r(t) of an object moving in 1-D on the r – aris in an inverse-square force field (such as an electromagnetic field) is given by Assume that the initial position of the object is known, i.e. r = xo > 0. Show that the velocity of the body at time t is given by v?(t) = 2k2
Expert Solution
Step 1

As given by the question

There are given that the equation of inverse-square force field is:

d2xdt2=-k2x2

And,

The equation of the velocity at time t is:

v2t=2k21x-1x0

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