A force F⇀=5i^-3j^+2k^ moves a particle from r1⇀=2i^+7j^+4k^ to r2⇀=5i^+2j^+8k^. Calculate the work done.

W=F.⇀S⇀=F⇀.r2⇀-r1⇀ =5i^-3j^+2k^.3i^-5j^+4k^=38 = 38 units

A force F⇀=5i^-3j^+2k^ moves a particle from r1⇀=2i^+7j^+4k^ to r2⇀=5i^+2j^+8k^. Calculate the work done.

W=F.⇀S⇀=F⇀.r2⇀-r1⇀ =5i^-3j^+2k^.3i^-5j^+4k^=38 = 38 units

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A force $\overset{⇀}{F} = 5 \hat{i} - 3 \hat{j} + 2 \hat{k}$ moves a particle from $\overset{⇀}{r_{1}} = 2 \hat{i} + 7 \hat{j} + 4 \hat{k}$ to $\overset{⇀}{r_{2}} = 5 \hat{i} + 2 \hat{j} + 8 \hat{k}$ . Calculate the work done.

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38 units

20 units

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15 units

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Detailed Solution

$W = \overset{⇀}{F .} \overset{⇀}{S} = \overset{⇀}{F} . (\overset{⇀}{r_{2}} - \overset{⇀}{r_{1}})$ = $(5 \hat{i} - 3 \hat{j} + 2 \hat{k}) . (3 \hat{i} - 5 \hat{j} + 4 \hat{k}) = 38$

= 38 units

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