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CMC Medical CMC-Medical VELLORE Solved Paper-2008

  • question_answer
    A body constrained to move in the y-direction is subjected to a force\[\overrightarrow{F}=2\hat{i}+15\hat{j}+6\hat{k}\,N.\] The work done by this force in moving the body through a distance of 10 m along y-axis is

    A)  100 J                                    

    B)  150 J

    C)  120 J                                    

    D)  200 J

    E)  50 J

    Correct Answer: B

    Solution :

                    Force \[\overrightarrow{F}=(2\hat{i}+15\hat{j}+6\hat{k})N\] Displacement \[\overrightarrow{s}=10\hat{j}\,m\] Work done \[W=\overrightarrow{F}\cdot \overrightarrow{s}\] \[=(2\hat{i}+15\hat{j}+6\hat{k})\cdot (10\hat{j})\] \[=150\,J\]


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