A body, constrained to move in $y$-direction, is subjected to a force given by $\vec{F}=(-2 \hat{i}+

Question

A body, constrained to move in $y$-direction, is subjected to a force given by $\vec{F}=(-2 \hat{i}+15 \hat{j}+6 \hat{k}) \mathrm{N}$. The work done by this force in moving the body through a distance of $10 \hat{j} \mathrm{~m}$ along $y$-axis, is\

Professor PC Thomas Classes · Answer

(a) : Force $\vec{F}=(-2 \hat{i}+15 \hat{j}+6 \hat{k}) \mathrm{N}$, and distance,\ $d=10 \hat{j} \mathrm{~m}$\ Work done, $W=\vec{F} \cdot \vec{d}=(-2 \hat{i}+15 \hat{j}+6 \hat{k}) \cdot(10 \hat{j})$ $$ =150 \mathrm{Nm}=150 \mathrm{~J} $$