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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
     A body of mass \[2\,\,kg\] slides down a curved track which is quadrant of a circle of radius \[1\,\,m\] as shown in figure. All the surfaces are frictionless. If the body starts from. rest, its speed at the bottom of the track is

    A) \[2\,\,m{{s}^{-1}}\]                        

    B) \[0.5\,\,m{{s}^{-1}}\]

    C)  \[19.6\,\,m{{s}^{-1}}\]                 

    D)  \[4.43\,\,m{{s}^{-1}}\]

    Correct Answer: D

    Solution :

    By conservation of energy,\[mgh=\frac{1}{2}m{{v}^{2}}\] \[\Rightarrow \]               \[v=\sqrt{2gh}=\sqrt{2\times 9.8\times 1}\]                    \[=\sqrt{19.6}=4.43\,\,m{{s}^{-1}}\]


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