(Optional): Plot the vector field of F.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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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.
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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