VMMC VMMC Medical Solved Paper-2013

  • question_answer
    A body of mass 10 kg is to be raised by a massless string tram rest to rest, through a height 9.8 m. The greatest tension which the string can safely bear is 20 kg wt. The least time of ascent is

    A)  1s                

    B)  3s

    C)  4 s               

    D)  None of these

    Correct Answer: A

    Solution :

     Acceleration \[{{a}_{\max }}=\frac{T-mg}{m}\] \[=\frac{(20-10)g}{10}=g\] During half time, body is accelerate from rest and during next half time decelerates with same magnitude to come to rest. \[\frac{h}{2}=\frac{1}{2}{{a}_{\max }}t_{1}^{2}\] \[{{t}_{1}}=\sqrt{\frac{h}{{{a}_{\max }}}}=1s\]


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