A force of (3 î + 4 ĵ) Newton acts on a bo

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A force of $(3\,\hat i + 4\,\hat j)$ Newton acts on a body and displaces it by $(3\,\hat i + 4\hat j)\,m.$ The work done by the force is .............. $\mathrm{J}$

A

$10$

B

$12$

C

$16$

D

$25$

A force of $(3\,\hat i + 4\,\hat j)$ Newton acts on a body and displaces it by $(3\,\hat i + 4\hat j)\,m.$ The work done by the force is .............. $\mathrm{J}$

$W = \overrightarrow F .\overrightarrow s $$ = (3\hat i + 4\hat j).(3\hat i + 4\hat j) = 9 + 16 = 25\,J$