In the following exercises, find the work done by force fiel d F on an object moving along the indicated path. 71. Force F ( x , y , z ) = z y i + x j + z 2 x k acts on a particle that travels from the origin to point (1, 2, 3). Calculate the work done if the particle travels:a. along the path (0,0,0) → .(1,0,0) → ’(1,2,0) → .(1,2,3) along straight-line segments joining each pair of endpoints: b. along the straight line joining the initial and final points. c. Is the work the same along the two paths? (1, 2, 3)
In the following exercises, find the work done by force fiel d F on an object moving along the indicated path. 71. Force F ( x , y , z ) = z y i + x j + z 2 x k acts on a particle that travels from the origin to point (1, 2, 3). Calculate the work done if the particle travels:a. along the path (0,0,0) → .(1,0,0) → ’(1,2,0) → .(1,2,3) along straight-line segments joining each pair of endpoints: b. along the straight line joining the initial and final points. c. Is the work the same along the two paths? (1, 2, 3)
In the following exercises, find the work done by force fiel d F on an object moving along the indicated path.
71. Force
F
(
x
,
y
,
z
)
=
z
y
i
+
x
j
+
z
2
x
k
acts on a particle that travels from the origin to point (1, 2, 3). Calculate the work done if the particle travels:a. along the path (0,0,0)
→
.(1,0,0)
→
’(1,2,0)
→
.(1,2,3) along straight-line segments joining each pair of endpoints:
b. along the straight line joining the initial and final points.
c. Is the work the same along the two paths? (1, 2, 3)
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