Question

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

• A. $5J$
• B. $30J$
• C. $25J$
• D. $10J$

Answer 1

The correct option is C $25J$

Here , $\overrightarrow{F}=(3\hat{i}+4\hat{j})N$
$\overrightarrow{d}=(3\hat{i}+4\hat{j})$
$\therefore W=\overrightarrow{F}.\overrightarrow{d}=(9+16)=25J$