A) \[\sqrt{45}\]
B) 45
C) 24
D) \[\sqrt{24}\]
Correct Answer: C
Solution :
Key Idea: Power developed is equal to scalar product of force and velocity vector. Power is given by \[P=\vec{F}.\vec{v}\] Given, \[\vec{F}=7\vec{i}+6\hat{k},\vec{v}=3\hat{j}+4\hat{k}\] \[P=\vec{F}.\vec{v}\] \[P=(7\hat{i}+6\hat{k}).(3\hat{j}+4\hat{k})\] \[P=6\times 4\] \[P=24\,\text{unit}\] Note: Power is a scalar quantity.
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