Question

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

• A. 150 J
• B. 20 J
• C. 190 J
• D. 160 J

Answer 1

The Correct Option is A

The correct option is(A): 150 J.

\(\overrightarrow{F}=(-2\widehat{i}+15\widehat{j}+6\widehat{k})\)N and distance (d) = 10\(\widehat{j}\, m\). 
Work done 
W=\(\overrightarrow{F}\cdot \overrightarrow{d}= (-2\widehat{i}+15\widehat{j}+6\widehat{k})\cdot (10\widehat{j})=150 N-m =150\, J\).