Motion In A Plane Ques 14
14. A body constrained to move in $y$-direction, is subjected to a force given by $\vec{F}=(-2 \hat{i}+15 \hat{j}+6 \hat{k})$ $ N$. What is the workdone by this force in moving the body through a distance of $10 $ $m$ along $y$-axis?
[1994]
(a) $190 $ $J$
(b) $160 $ $J$
(c) $150 $ $J$
(d) $20 $ $J$
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Answer:
Correct Answer: 14.(c)
Solution:
- (c) Since displacement is along the $y$-direction, hence displacement $\vec{s}=10 \hat{j}$.
Work done $=\vec{F} \cdot \vec{s}$
$=(-2 \hat{i}+15 \hat{j}+6 \hat{k}) \cdot 10 \hat{j}=150 J$
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