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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        A force vector applied on a body is given by \[\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}\]and acquires an acceleration of\[1\text{ }m{{s}^{2}}\]. Then the mass of the body is

    A)  \[10\sqrt{2}\]kg                              

    B)  \[2\sqrt{10}\]

    C)  \[10\,kg\]                          

    D)  \[20\,kg\]

    Correct Answer: A

    Solution :

                    \[|\overrightarrow{F}|=\sqrt{{{(6)}^{2}}+{{(8)}^{2}}+{{(10)}^{2}}}\] \[\therefore \]  \[|\overrightarrow{F}|=\sqrt{36+64+100}\]                 \[|\overrightarrow{F}|=\sqrt{100+100}=\sqrt{200}\]                 \[|\overrightarrow{F}|=10\sqrt{2}N\] \[\therefore \]  \[m=\frac{|\overrightarrow{F}|}{a}=\frac{10\sqrt{2}}{1}\]                 \[=10\sqrt{2}\,kg\]


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