A) 9J
B) 6J
C) 13J
D) l5J
Correct Answer: A
Solution :
\[\operatorname{F}=\left( 3\hat{i}+\hat{j} \right)\operatorname{N}\] \[{{\vec{r}}_{l}}=2\hat{i}+\hat{k}{{\vec{r}}_{2}}=4\hat{i}+3\hat{j}-\hat{k}\] \[\Delta \vec{r}={{\vec{r}}_{2}}-{{\vec{r}}_{1}}\] \[=4\hat{i}+3-\hat{k}-2\hat{i}-\hat{k}\] \[\Delta \vec{r}=2\hat{i}+3j-2\vec{k}\] \[\operatorname{W}=\vec{F}.\vec{r}\] \[\operatorname{W}=\left( 3\hat{i}+\hat{j} \right)\left( 2\hat{i}+3\hat{j}-2\hat{k} \right)\] \[\operatorname{W}=6+3=9J\]You need to login to perform this action.
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