Question

A force acting on a particle moving in the xy plane is given by \overrightarrow{F} = (2yi + x^{2}\hat{j}), where \overrightarrow{F} is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.70 m and y = 4.70 m, as shown in the figure below. (a) Calculate the work done by \overrightarrow{F} on the particle as it moves along the purple path (O\rightarrow B\rightarrow C). (b) Calculate the work done by \overrightarrow{F} on the particle as it moves along the red path (O\rightarrow A\rightarrow C). (c) Calculate the work done by \overrightarrow{F} on the particle as it moves along the blue path (O\rightarrow C). (d) Is \overrightarrow{F} conservative or nonconservative? \text{O nonconservative} \text{O conservative} (e) Explain your answer to part (d).

          A force acting on a particle moving in the xy plane is given by \overrightarrow{F} = (2yi + x^{2}\hat{j}), where \overrightarrow{F} is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.70 m and y = 4.70 m, as shown in the figure below.
(a) Calculate the work done by \overrightarrow{F} on the particle as it moves along the purple path (O\rightarrow B\rightarrow C).
(b) Calculate the work done by \overrightarrow{F} on the particle as it moves along the red path (O\rightarrow A\rightarrow C).
(c) Calculate the work done by \overrightarrow{F} on the particle as it moves along the blue path (O\rightarrow C).
(d) Is \overrightarrow{F} conservative or nonconservative?
\text{O nonconservative}
\text{O conservative}
(e) Explain your answer to part (d).

A force acting on a particle moving in the xy plane is given by F = (2yi + x^2ĵ), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 4.70 m and y = 4.70 m, as shown in the figure below.
(a) Calculate the work done by F on the particle as it moves along the purple path (O→B→C).
(b) Calculate the work done by F on the particle as it moves along the red path (O→A→C).
(c) Calculate the work done by F on the particle as it moves along the blue path (O→C).
(d) Is F conservative or nonconservative?
O nonconservative
O conservative
(e) Explain your answer to part (d).

Added by Jill P.

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