In the figure below F = (x + y)i + (y + 1) j. a) Find the work done in going from (1,2) to (3,4) along Path 1. Answer: 8 + 12 = 20 b) Find the work done in going from (1,2) to (3,4) along Path 2. Answer: 8 + 8 = 16 c) Find the work done in going from (1,2) to (3,4) along Path 3. Answer: 18 d) Is F conservative? Justify your conclusion? Answer: No, W depends on the path we take. y Path 1 (1,2) Path 3 (3,4) Path 2

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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W = F₁Ax = F· Ax, Wnet = m(v₁) ² - ² m(v₁)², W = F₂dx, W = F·dr
Transcribed Image Text:W = F₁Ax = F· Ax, Wnet = m(v₁) ² - ² m(v₁)², W = F₂dx, W = F·dr
Problem 5:
In the figure below F = (x + y)i + (y + 1) ĵ.
a) Find the work done in going from (1,2) to (3,4) along Path 1. Answer: 8 + 12 = 20
b) Find the work done in going from (1,2) to (3,4) along Path 2. Answer: 8 + 8 = 16
c) Find the work done in going from (1,2) to (3,4) along Path 3. Answer: 18
d) Is F conservative? Justify your conclusion? Answer: No, W depends on the path we
take.
y
Path 1
(1,2)
Path 3
(3,4)
Path 2
8*
X
Transcribed Image Text:Problem 5: In the figure below F = (x + y)i + (y + 1) ĵ. a) Find the work done in going from (1,2) to (3,4) along Path 1. Answer: 8 + 12 = 20 b) Find the work done in going from (1,2) to (3,4) along Path 2. Answer: 8 + 8 = 16 c) Find the work done in going from (1,2) to (3,4) along Path 3. Answer: 18 d) Is F conservative? Justify your conclusion? Answer: No, W depends on the path we take. y Path 1 (1,2) Path 3 (3,4) Path 2 8* X
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