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Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    Due to a force of\[(6\widehat{\mathbf{i}}+2\widehat{\mathbf{j}})N\]the displacement of a body is\[(3\widehat{\mathbf{i}}-\widehat{\mathbf{j}})m\], then the work done is

    A) \[16j\]                  

    B)        \[12j\]

    C) \[8j\]                    

    D)         zero

    Correct Answer: A

    Solution :

    Work done\[W=\mathbf{F}\times \mathbf{d}\]                           \[=(6\mathbf{i}+2\mathbf{j})\times (3\mathbf{i}-\mathbf{j})\]                           \[=6\times 3+2\times -1\]                           \[=18-2=16\,\,J\]                      \[W=16\,\,J\]


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