work done if the particle travel

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 32AP
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Force F(x, y, z) = zyi + xj + z^2xk 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. (0,0,0) --> (1,2,3)
c. Is the work the same along the two paths?

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