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NEET Sample Paper NEET Sample Test Paper-26

  • question_answer
    A man A, mass 60kg and other man B mass 70kg are sitting at two extremes of 2m long boat of mass 70kg, standing still in water as shown in figure. They come to the middle of boat (Neglect friction). How far does the boat move on the water during the process?

    A) 5cm leftward

    B) 5cm rightward

    C)  7cm leftward   

    D)  7cm rightward

    Correct Answer: B

    Solution :

    As there is no external force acting' on the boat-mass system \[\Rightarrow \] X-coordinate of its centre of mass will remain unchanged i.e., \[\Delta {{X}_{cm}}=0\] \[\Rightarrow \] Initial X-coordinate of the system = final X-coordinate of the system. Let d ^ distance parallel by boat in right ward direction Then,  \[\frac{60x+70(x+2)+70(x+1)}{200}\] \[=\frac{60+70+70\,(x+1+d)}{200}\] on solving we get \[x=\frac{10}{200}m=5cm\]


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