particle can move along only an x axis, where conservative forces act on it (see the figure and the table below). The particle is released at x = 5.00 m with a kinetic energy of K = 16.0 J and a potential energy of U = 0.0 J. If its motion is in the negative direction of the x axis, what are its (a) K and (b) U at x = 2.00 m and its (c) K and (d) U at x = 0? If its motion is in the positive direction of the x axis, what are its (e) K and (f) U at x = 11.0 m, its (g) K and (h) U at x = 12.0 m, and its (i) K and (j) U at x = 13.0 m? Next, the particle is released from rest at x = 0. What are (k) its kinetic energy at x = 5.0 m and (l) the maximum positive position xmax it reaches?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A particle can move along only an x axis, where conservative forces act on it (see the figure and the table below). The particle is released at x = 5.00 m with a kinetic energy of K = 16.0 J and a potential energy of U = 0.0 J.

If its motion is in the negative direction of the x axis, what are its (a) K and (b) U at x = 2.00 m and its (c) K and (d) U at x = 0?

If its motion is in the positive direction of the x axis, what are its (e) K and (f) U at x = 11.0 m, its (g) K and (h) U at x = 12.0 m, and its (i) K and (j) U at x = 13.0 m?

Next, the particle is released from rest at x = 0. What are (k) its kinetic energy at x = 5.0 m and (l) the maximum positive position xmax it reaches?
х (m)
4
6
8.
10
12
Range
Force
F = +(3.00 N)i
F, = +(5.00 N)i
O to 2.00 m
%3D
2.00 m to 3.00 m
%3D
F = 0
F; = -(4.00 N)i
F, = -(1.00 N)i
3.00 m to 8.00 m
8.00 m to 11.0 m
%3D
11.0 m to 12.0 m
12.0 m to 15.0 m
F = 0
2,
Transcribed Image Text:х (m) 4 6 8. 10 12 Range Force F = +(3.00 N)i F, = +(5.00 N)i O to 2.00 m %3D 2.00 m to 3.00 m %3D F = 0 F; = -(4.00 N)i F, = -(1.00 N)i 3.00 m to 8.00 m 8.00 m to 11.0 m %3D 11.0 m to 12.0 m 12.0 m to 15.0 m F = 0 2,
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