3- 2+ (a) Explain why 2 // 7 ? 1 1 7 SF F dr has the same value for all three curves. (b) What is this common value? The vector field is not conservative and all three curves are not simple and closed. The vector field is conservative and the initial points of all three curves coincide with the terminal points. The vector field is conservative and all three curves have the same initial and terminal points. All three curves are simple and not closed. The vector field is not conservative and all three curves are simply connected. (c) Compute the work done by the force field F in moving an object from A=(1, 1) to B=(3, 9)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 32P
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The figure shows the vector field F(x, y) = 2xy i+ x2j and three curves that start at (1, 2) and end at (3, 2).
3+
2+
0
·[F
(a) Explain why
C
A
7
7
(b) What is this common value?
7
7 7
1 T
3
F dr has the same value for all three curves.
The vector field is not conservative and all three curves are not simple and closed.
The vector field is conservative and the initial points of all three curves coincide with the terminal points.
The vector field is conservative and all three curves have the same initial and terminal points.
All three curves are simple and not closed.
The vector field is not conservative and all three curves are simply connected.
(c) Compute the work done by the force field F in moving an object from A=(1, 1) to B=(3, 9).
Transcribed Image Text:The figure shows the vector field F(x, y) = 2xy i+ x2j and three curves that start at (1, 2) and end at (3, 2). 3+ 2+ 0 ·[F (a) Explain why C A 7 7 (b) What is this common value? 7 7 7 1 T 3 F dr has the same value for all three curves. The vector field is not conservative and all three curves are not simple and closed. The vector field is conservative and the initial points of all three curves coincide with the terminal points. The vector field is conservative and all three curves have the same initial and terminal points. All three curves are simple and not closed. The vector field is not conservative and all three curves are simply connected. (c) Compute the work done by the force field F in moving an object from A=(1, 1) to B=(3, 9).
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