A) 5 J
B) 25 J
C) 10 J
D) 30 J
Correct Answer: B
Solution :
Key Idea: Work done is given by scalar product of force and displacement. Work done by the force is \[W=\overrightarrow{\mathbf{F}}.\overrightarrow{\mathbf{d}}\] Given \[\overrightarrow{\mathbf{F}}=3\hat{i}+4\hat{j},\,d=3\hat{i}+4\hat{j}\] \[\therefore \] \[W=\overrightarrow{\mathbf{F}}.\overrightarrow{\mathbf{d}}\] \[=(3\hat{i}+4\hat{j}).(3\hat{i}+4\hat{j})\] \[=9+16=25J\] Note: The values of force and displacement are equal numerically.You need to login to perform this action.
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