BHU PMT BHU PMT (Screening) Solved Paper-2011

  • question_answer
    A 24 kg block resting on a floor has a rope secured to its top. The maximum tension the rope can withstand without breaking is 310 N. The minimum time in which the block can be lifted a vertical distance of 4.6 m by pulling on the rope is

    A)  1.2s                                      

    B)  1.3s

    C)  1.7 s                                     

    D)  2.3 s

    Correct Answer: C

    Solution :

                     Effective upwards force \[=310-mg\] \[=310-24\times 9.8=74.8\text{ }N\] \[\therefore \] Upward acceleration \[a=\frac{74.8}{24}=3.12\,m{{s}^{-2}}\] As           \[s=ut+\frac{1}{2}a{{t}^{2}}\]                 \[4.6=0+\frac{1}{2}\times 3.12\times {{t}^{2}}\] Or           \[{{t}^{2}}=\frac{4.6}{1.56}=2.95\] \[\therefore \]  \[t=\sqrt{2.95}=1.7\,s\]


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