Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
     If the momentum of a body is increased by 100%, then the percentage increase in the kinetic energy is

    A)  150%                                   

    B)  200%

    C)  225%                                   

    D)  300%

    Correct Answer: D

    Solution :

    \[KE=\frac{{{p}^{2}}}{2m}\Rightarrow K{{E}_{2}}=K{{E}_{1}}{{\left( \frac{{{p}_{2}}}{{{p}_{1}}} \right)}^{2}}=K{{E}_{1}}{{\left( \frac{2p}{p} \right)}^{2}}\] \[\Rightarrow \]               \[K{{E}_{2}}=4K{{E}_{1}}\] \[=K{{E}_{1}}+3K{{E}_{1}}=K{{E}_{1}}+300%\]of\[K{{E}_{1}}\]


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