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AIIMS AIIMS Solved Paper-2001

  • question_answer
    A force \[(3\mathbf{\hat{i}}+4\mathbf{\hat{j}})\] N acts on a body and displaced it by\[(3\mathbf{\hat{i}}+4\mathbf{\hat{j}})\] m. The work done by the force is :

    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.


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