In the figure below F = (y-1) î+ (x + 2) ĵ. a) Find the work done in going from (2,1) to (3,4) along Path 1. Answer: 12 + 3 = 15 b) Find the work done in going from (2,1) to (3,4) along Path 2. Answer: 0 + 15 = 15 c) Find the work done in going from (2,1) to (3,4) along Path 3. Answer: 15 d) Is F conservative? Justify your conclusion? Answer: Yes, W does not depends on the path we take. (3,4) Path 1 HA Path 2 Path 3 (2,1) X
In the figure below F = (y-1) î+ (x + 2) ĵ. a) Find the work done in going from (2,1) to (3,4) along Path 1. Answer: 12 + 3 = 15 b) Find the work done in going from (2,1) to (3,4) along Path 2. Answer: 0 + 15 = 15 c) Find the work done in going from (2,1) to (3,4) along Path 3. Answer: 15 d) Is F conservative? Justify your conclusion? Answer: Yes, W does not depends on the path we take. (3,4) Path 1 HA Path 2 Path 3 (2,1) X
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Transcribed Image Text:Problem 6:
In the figure below F = (y-1) i + (x + 2) ĵ.
a) Find the work done in going from (2,1) to (3,4) along Path 1. Answer: 12 + 3 = 15
b) Find the work done in going from (2,1) to (3,4) along Path 2. Answer: 0 + 15 = 15
c) Find the work done in going from (2,1) to (3,4) along Path 3. Answer: 15
d) Is F conservative? Justify your conclusion? Answer: Yes, W does not depends on the
path we take.
y
Path 1
(2,1)
Path 3
(3,4)
Path 2
x
Transcribed Image Text:W = F₁Ax = F· Ax, Wnet = m(v₁) ² - ² m(v₁)², W = F₂dx, W = F·dr
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