Question

A particle is displaced from point A(1,2) to B(3, 4) by applying force $\overrightarrow{F}=2\hat{i}+3\hat{j}$. Find the work done by $\overrightarrow{F}$ to move the particle from point A to B.

• A. 5 units
• B. 10 units
• C. 7 units
• D. 15 units

Answer 1

The correct option is B 10 units

$W=\overrightarrow{F}.\overrightarrow{\Delta S}$
$\Delta S=(3-1)\hat{i}+(4-2)\hat{j}$
$=(2\hat{i}+3\hat{j}).(2\hat{i}+2\hat{j})=2\times 2+3\times 2=10units$