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CMC Medical CMC-Medical VELLORE Solved Paper-2009

  • question_answer
    A child is swinging a swing. Minimum and maximum heights of swing from earths surface are 0.75 m and 2 m respectively. The maximum velocity of this swing is

    A)  5\[m{{s}^{-1}}\]                              

    B)  10\[m{{s}^{-1}}\]

    C)  15\[m{{s}^{-1}}\]                           

    D)  17\[m{{s}^{-1}}\]

    Correct Answer: A

    Solution :

                    According to law of conservation of energy \[\frac{1}{2}mv_{\max }^{2}=mg({{h}_{2}}-{{h}_{1}})\] \[\Rightarrow \]               \[{{v}_{\max }}=\sqrt{2g({{h}_{2}}-{{h}_{1}})}\]                 \[=\sqrt{2\times 10\times (2-0.75)}\]                 \[=\sqrt{2\times 10\times 1.25}=\sqrt{25}=5\,m{{s}^{-1}}\]


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