An object moves in force field F ( x , y , z ) = y 2 i + 2 ( x + 1 ) y j counterclockwise from point (2, 0) along elliptical path x 2 + 4y 2 = 4 to (-2, 0), and back to point (2, 0) along the x -axis. How much work is done by the force field on the object?
An object moves in force field F ( x , y , z ) = y 2 i + 2 ( x + 1 ) y j counterclockwise from point (2, 0) along elliptical path x 2 + 4y 2 = 4 to (-2, 0), and back to point (2, 0) along the x -axis. How much work is done by the force field on the object?
An object moves in force field
F
(
x
,
y
,
z
)
=
y
2
i
+
2
(
x
+
1
)
y
j
counterclockwise from point (2, 0) along elliptical path x2+ 4y2= 4 to (-2, 0), and back to point (2, 0) along the x-axis. How much work is done by the force field on the object?
A force field is given by the equation. A particle is moved from (1,0,0) to (1,1,1) along a straight line. Calculate the work done by the force field on the particle.
Find the upward flux of F = (14e*, -7e, -6) through the first-octant part of the triangle
x+2y+3z = 6.
Answer:
E
A particle is moved along the r-axis by a force F(x) = 6² + 4x – 2. How much work is done
in moving the particle from x = -1 to x = 2?
(a) 12
(b) 14
(c) 16
(d) 18
(e) 20
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