A body of mass 2 kg is moving with a constant acceleration of $(2 \hat{i} + 3 \hat{j} - \hat{k}) {ms}^{- 2}$ . If the displacement made by the body is $(\hat{3} \hat{i} - \hat{j} + 2 \hat{k}) m$ n then the work done is

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2 J

10 J

22 J

12 J

answer is B.

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Detailed Solution

The work done is given by $W = \vec{F} . \vec{s} = m (\vec{a} . \vec{s}) = 2$ $(2 \hat{i} + 3 \hat{j} - \hat{k}) . (\hat{3} \hat{i} - \hat{j} + 2 \hat{k}) = 2 (6 - 3 - 2) = 2 J$

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