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(a) Suppose that you are asked to determine the path that requires the least work for a force field F to move a particle from one point to another. You decide to check first whether F is conservative, and it turns out that it is. How would you reply to the request? (b) Suppose that an experiment determines that the amount of work required for another force field G to move a particle from the point (1, 2) to the point (5, –3) along a curve C1 is 2 Joules, while the work done by G in moving the same particle along another curve C2 between the same points is 3 Joules. What can you say about G? Why?

(a) Suppose that you are asked to determine the path that requires the least work for a force field F to move a particle from one point to another. You decide to check first whether F is conservative, and it turns out that it is. How would you reply to the request? (b) Suppose that an experiment determines that the amount of work required for another force field G to move a particle from the point (1, 2) to the point (5, –3) along a curve C1 is 2 Joules, while the work done by G in moving the same particle along another curve C2 between the same points is 3 Joules. What can you say about G? Why?

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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(a) Suppose that you are asked to determine the path that requires the least work for a force field F to move a particle from one point to another. You decide to check first whether F is conservative, and it turns out that it is. How would you reply to the request? (b) Suppose that an experiment determines that the amount of work required for another force field G to move a particle from the point (1, 2) to the point (5, –3) along a curve C1 is 2 Joules, while the work done by G in moving the same particle along another curve C2 between the same points is 3 Joules. What can you say about G? Why?
Transcribed Image Text:(a) Suppose that you are asked to determine the path that requires the least work for a force field F to move a particle from one point to another. You decide to check first whether F is conservative, and it turns out that it is. How would you reply to the request? (b) Suppose that an experiment determines that the amount of work required for another force field G to move a particle from the point (1, 2) to the point (5, –3) along a curve C1 is 2 Joules, while the work done by G in moving the same particle along another curve C2 between the same points is 3 Joules. What can you say about G? Why?
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