A 9.00-kg particle moves from the origin to position O, having coordinates x = 4.50 m and y = 4.50 m as shown in the figure. One force on the particle is the gravitational force acting in the negative y direction. Using the equation (W = FAr cos 8 = F - AF), calculate the work done by the gravitational force in going from O to © along the following paths. y (m) (x, y) x (m) (a) the purple path (oO© (b) the red path (OB© (c) the blue path (O© (d) Your results should all be identical, Why?

Physics for Scientists and Engineers
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Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Energy Of A System
Section: Chapter Questions
Problem 31P: A 4.00-kg particle moves from the origin to position , having coordinates x = 5.00 m and y = 5.00 m...
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A 9.00-kg particle moves from the origin to position ©, having coordinates x = 4.50 m and y = 4.50 m as shown in the figure. One force on the particle is the gravitational force acting in
the negative y direction. Using the equation (W = FAr cos e = F . Ař), calculate the work done by the gravitational force in going from O to © along the following paths.
у (m)
C)
(x, y)
х (m)
(a) the purple path (o0©
(b) the red path (OB©
(c) the blue path (O©
(d) Your results should all be identical. Why?
Transcribed Image Text:A 9.00-kg particle moves from the origin to position ©, having coordinates x = 4.50 m and y = 4.50 m as shown in the figure. One force on the particle is the gravitational force acting in the negative y direction. Using the equation (W = FAr cos e = F . Ař), calculate the work done by the gravitational force in going from O to © along the following paths. у (m) C) (x, y) х (m) (a) the purple path (o0© (b) the red path (OB© (c) the blue path (O© (d) Your results should all be identical. Why?
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