Q2: Consider a force F given by 1 F r2 + ar + B`r where r is the position vector to point (X), r is its magnitude, and îr is the corresponding unit vector. a and ß are real constants. (a) Check if F is conservative. If so, find the corresponding potential energy associated with it. dy dz Aot. conservative farce! dy (c) (Optional): Plot the vector field of F.
Q2: Consider a force F given by 1 F r2 + ar + B`r where r is the position vector to point (X), r is its magnitude, and îr is the corresponding unit vector. a and ß are real constants. (a) Check if F is conservative. If so, find the corresponding potential energy associated with it. dy dz Aot. conservative farce! dy (c) (Optional): Plot the vector field of F.
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Transcribed Image Text:Q2: Consider a force F given by
1
F
p2 + ar + Br
where r is the position vector to point (xy), ris its magnitude, and îr is the corresponding unit vector.
a and B are real constants.
(a) Check if F is conservative. If so, find the corresponding potential energy associated with it.
Not Canservative focce!
dy
(c) (Optional): Plot the vector field of F.
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