Question 2 A force field (in newtons) is defined by F(x, y) (b) X + x, where coordinates x and y are in meters. (a) Evaluate F(0, 1), F(1, 1), F(-1, -1), F(2, -1) and sketch them on the xy-plane. x² +1 y³ Show that the force field is conservative.
Question 2 A force field (in newtons) is defined by F(x, y) (b) X + x, where coordinates x and y are in meters. (a) Evaluate F(0, 1), F(1, 1), F(-1, -1), F(2, -1) and sketch them on the xy-plane. x² +1 y³ Show that the force field is conservative.
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Transcribed Image Text:Question 2
A force field (in newtons) is defined by
F(x, y):
(b)
=
+x,
x²
Show that the force field is conservative.
+1
y³
where coordinates x and y are in meters.
(a)
Evaluate F(0, 1), F(1, 1), F(-1, -1), F(2, -1) and sketch them on the xy-plane.
T
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