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Problem 55 Hard Difficulty

Given the force field $\mathbf{F},$ find the work required to move an object on the given oriented curve.
$\mathbf{F}=\frac{\langle x, y, z\rangle}{\left(x^{2}+y^{2}+z^{2}\right)^{3 / 2}}$ on the line segment from (1,1,1) to (10,10,10)

Answer

$\frac{3 \sqrt{3}}{10}$

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Video Transcript

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