a body of mass 10kg is displaced from point A(2,1,3) to B(3,3,4) ubder the effect of force of magnitude 20N in the direction of 6icap +8jcap. Calculate work done by force
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[tex] \vec{r_1} = 2i + j + 3k \\ \\ \vec{r_2} = 3i + 3j + 4k \\ \\ displacement(\vec{d}) = \vec{r_2} - \vec{r_1} \\ \\ \vec{d} = 3i + 3j + 4k - (2i + j + 3k) \\ \\ \vec{d} = i + 2j +k \\ \\ F = 20(6i + 8j) \\ \\ \text{We know that,} \\ \\ Work = \vec{F}.\vec{d} \\ \\ W = 20(6i + 8j) \ . \ ( i + 2j +k) \\ \\ W = 20 \times (6 + 16) \\ \\ W = 440 N [/tex]
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