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BVP Medical BVP Medical Solved Paper-2006

  • question_answer
    A cart of mass M is tied to one end of a massless rope of length 10 m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. The man is at x = 0 and the cart at x = 10 m. If the man pulls the cart by the rope, the man and the cart will meet at the point :

    A)  they will never meet    

    B) x = 10 m

    C)  x= 5m                                  

    D)  x = 0

    Correct Answer: C

    Solution :

                    If the man pulls the cart by the rope, the man and cart will meet at the centre of mass. \[\therefore \]  \[{{x}_{cm}}=\frac{{{m}_{1}}{{x}_{1}}+{{m}_{2}}{{x}_{2}}}{{{m}_{1}}+{{m}_{2}}}\]                 \[=\frac{M\times 0+M\times 10}{M+M}\]                 \[=\frac{10M}{2M}=5m\]


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