Question

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

• A. $20\text{J}$
• B. $150\text{J}$
• C. $160\text{J}$
• D. $190\text{J}$

Answer 1

The correct option is B $150\text{J}$

$\overrightarrow{F}=(-2\hat{i}+15\hat{j}+6\hat{k})N\overrightarrow{d}=10\hat{j}m$
$W=\overrightarrow{F}.\overrightarrow{d}$
$=0+150+0$
$=150\text{J}$