DUMET Medical DUMET Medical Solved Paper-2011

  • question_answer
    The work done by an applied variable force\[F=x+{{x}^{3}}\] from\[x=o\,m\,to\,x\,=2,\,m\] where \[x\] is displacement, is

    A)  6J            

    B)  8J

    C)  10 J           

    D)  12 J

    Correct Answer: A

    Solution :

    Given \[F=x+{{x}^{3}}\] and \[x=0\] to \[x=2\,m\] We know \[W=\int{Fdx}\] \[W=\int_{0}^{2}{(x+{{x}^{3}})dx}\] \[W=\left[ \frac{{{x}^{2}}}{2}+\frac{{{x}^{4}}}{4} \right]_{0}^{2}\] \[W=\left[ \frac{4}{2}+\frac{16}{4} \right]\] \[W=6\,J\]


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