Question

A force $\overrightarrow{F}=(a\hat{i}+b\hat{j})N$ acts on a body which displaces it by $\overrightarrow{s}=(c\hat{i}+d\hat{j})\text{m}$. The work done by the force is

• A. $ab+cd$
• B. $\frac{ab}{cd}$
• C. $ac+bd$
• D. $\frac{ac}{bd}$

Answer 1

The correct option is C $ac+bd$

Work done $W=\overrightarrow{F}.\overrightarrow{S}=(a\hat{i}+b\hat{j}).(c\hat{i}+d\hat{j})=ac+bd$
Hence, the correct answer is option (c).