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CMC Medical CMC-Medical VELLORE Solved Paper-2009

  • question_answer
    A man goes at the top of a smooth inclined plane. He releases a bag to fall freely and himself slides down on inclined plane to reach the bottom. If u1, and u2 are the velocities of the man and bag respectively, then

    A)  \[{{u}_{1}}>{{u}_{2}}\]

    B)  \[{{u}_{1}}<{{u}_{2}}\]

    C)  \[{{u}_{1}}={{u}_{2}}\]                                 

    D)  \[{{u}_{1}}\,and\,{{u}_{2}}\,cannot\,be\,compared\]

    Correct Answer: C

    Solution :

                     The gravitational force is conservative, so the work done by it is independent of path. Hence in both cases \[\frac{1}{2}m{{u}^{2}}=mgh\]      \[u=\sqrt{2hg},\] independent of mass So,               \[{{u}_{1}}={{u}_{2}}\]


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