JCECE Medical JCECE Medical Solved Paper-2014

  • question_answer
    A sphere of diameter 0.2 m and mass 2 kg is rolling on an inclined plane with velocity \[\upsilon =0.5\,m{{s}^{-1}}.\]The kinetic energy of the sphere is

    A) \[0.4\,J\]

    B)  \[0.3\,J\]

    C)  \[0.6\,J\]

    D)  \[0.42\,J\]

    Correct Answer: D

    Solution :

     \[{{E}_{k}}=\]Translational kinetic energy + rotational kinetic energy \[{{E}_{k}}=\frac{1}{2}m{{v}^{2}}+\frac{1}{2}l{{\omega }^{2}}\] \[=\frac{1}{2}\times 2\times {{(0.5)}^{2}}+\frac{1}{2}\times \frac{2}{3}\times 2\times {{(0.1)}^{2}}\times {{\left( \frac{0.5}{0.1} \right)}^{2}}\] \[=0.25+0.17=0.42\,J\]


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