nonconservativeconservative (e) Explain your answer to part (d). A force acting

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nonconservativeconservative    

(e) Explain your answer to part (d).

A force acting on a particle moving in the xy plane is given by vector F conservative or nonconservative? nonconservativeconservative (e) Explain your answer to part (d). ). J (d) Is F on the particle as it moves along the blue path (O ). J (c) Calculate the work done by F on the particle as it moves along the red path (O ). J (b) Calculate the work done by A on the particle as it moves along the purple path (O (a) Calculate the work done by F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.30 m and y = 4.30 m, as shown in the figure below. ), where + x2 F = (2y

Explanation / Answer

a) W = (Fx*x) + (Fy*y) = 2yx + x^2*y + 2y*x = 2xy + x^2*y
= (2*4.3*4.3)+(4.3*4.3*4.3) = 116.487

b) W = (Fy*y )+ (Fx*x) = (x^2*y)+(2*y*x) = 116.487 J

c) W = F.s = (2yi+x^j)+(xi+yj) = 2yx + x^2*y + 2y*x = 2xy + x^2*y =
(2*4.3*4.3)+(4.3*4.3*4.3) = 116.487

d) conservative  

e) here the work is same in all the paths

the work done here is not depending on the path . it is depending only on initial and final points

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