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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        Energy required to accelerate a car from \[10\text{ }m{{s}^{-1}}\]to\[20\text{ }m{{s}^{-1}}\]compared with that. required to accelerate from 0 to\[10\text{ }m{{s}^{-1}}\]is

    A)  twice                                   

    B)  three times

    C)  four times         

    D)  same

    Correct Answer: B

    Solution :

                    Energy \[(E)=\frac{1}{2}m{{v}^{2}}\] \[{{E}_{1}}=\frac{1}{2}m(400-100)=150\,m\]            ...(i) \[{{E}_{2}}=\frac{1}{2}m(100-0)\]             \[{{E}_{2}}=\frac{1}{2}m\times 100=50\,m\]                            ...(ii) From Eqs. (i) and (ii) we have \[{{E}_{1}}=3{{E}_{2}}\]


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