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JIPMER Jipmer Medical Solved Paper-2003

  • question_answer
    If force \[\mathbf{\vec{F}}=5\mathbf{\hat{i}}+3\mathbf{\hat{j}}+4\mathbf{\hat{k}}\] makes a displacement of \[\mathbf{\vec{s}}=6\mathbf{\hat{i}}-5\mathbf{\hat{k}}\] work done by the force is:

    A)  10 units              

    B)        122\[\sqrt{5}\] units     

    C)         \[5\sqrt{122}\] units    

    D)         20 units

    Correct Answer: A

    Solution :

    Work done\[=\overrightarrow{F}\cdot \overrightarrow{s}\] \[=(5\hat{i}+3\hat{j}+4\hat{k})\cdot (6\hat{i}-5\hat{k})\] \[=(5\hat{i}+3\hat{j}+4\hat{k})\cdot (6\hat{i}+0\hat{j}-5\hat{k})\] \[=(30+0-20)=10\,units\]  


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