JEE Main & Advanced Sample Paper JEE Main Sample Paper-13

  • question_answer
    A spherical ball rolls on a table without slipping. Then, the fraction of its total energy associated with rotation is

    A)  2/5                                       

    B)  2/7             

    C)  3/5                                       

    D)  3/7

    Correct Answer: B

    Solution :

     Total energy \[v=\frac{dx}{dt}=2t-6\] \[t=0\] \[u=-6\,\,m{{s}^{-1}}\] \[t=6\] Now, rotational kinetic energy \[v=6\,m{{s}^{-1}}\] \[W=\frac{1}{2}m{{v}^{2}}-\frac{1}{2}m{{u}^{2}}\Rightarrow \,W=0\]


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