A) 12
B) 6
C) 1
D) 0
Correct Answer: B
Solution :
Given, Force \[\vec{F}=3\hat{i}+c\hat{j}+2\hat{k}\] Displacement \[\vec{S}=-\,4\hat{i}+2\hat{j}+3\hat{k}\] Work done \[W=6\,J\] and workdone is given by \[W=\vec{F}\times S\] \[\Rightarrow \] \[6=\left( 3\hat{i}+c\hat{j}+2\hat{k} \right)\,.\,\left( 4\hat{i}+2\hat{j}+3\hat{k} \right)\] \[\Rightarrow \] \[6=-12+2c+6\] \[\Rightarrow \] \[6=-6+2c\] \[\Rightarrow \] \[2c=12\] \[\Rightarrow \] \[c=6\]You need to login to perform this action.
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