Punjab Medical Punjab - MET 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\[{{u}_{1}}\] and\[{{u}_{2}}\]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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