2. Solved Papers
  3. JAMIA MILLIA ISLAMIA

JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        A solid sphere of mass 2 kg rolls up a\[30{}^\circ \]incline with an initial speed\[10\text{ }m{{s}^{-1}}\]. The maximum height reached by the sphere is\[(g=10\text{ }m{{s}^{-2}})\]

    A)  3.5m                                    

    B)  7.0m

    C)  10.5m                                  

    D)  14.5m

    Correct Answer: B

    Solution :

                                    \[mgh=\frac{1}{2}mv_{CM}^{2}\left( 1+\frac{{{k}^{2}}}{{{R}^{2}}} \right)\] \[\Rightarrow \]               \[\frac{7}{10}=mv_{Cm}^{2}=mgh\] \[\Rightarrow \]               \[h=\frac{7}{10}\left( \frac{v_{CM}^{2}}{g} \right)\] Given, \[v=10\text{ }m{{s}^{-1}},\text{ }g=10\text{ }m{{s}^{-2}}\] \[\therefore \]  \[h=\frac{7}{10}\times \frac{10\times 10}{10}\] \[\Rightarrow \]               \[h=7.0\,m\]


You need to login to perform this action.
You will be redirected in 3 sec spinner