Use Stokes' Theorem to find the work done.

glasskerfu
2021-02-09
Answered

A particle moves along line segments from the origin to the points(3,0,0),(3,3,1),(0,3,1), and back to the origin under the influence of the force field $F(x,y,z)={z}^{2}i+3xyj+4{y}^{2}k$ .

Use Stokes' Theorem to find the work done.

Use Stokes' Theorem to find the work done.

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Malena

Answered 2021-02-10
Author has **83** answers

Step 1

From stokes theorem

Thus, calculate the curl of

Step 2

Thus,

Therefore the integral becomes:

Step 3

Thus work done is 79.5 unit.

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