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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 3

  • question_answer
    A box of mass 2 kg is placed on the roof of a car. The box would remain stationary untill the car attains a maximum acceleration. Coefficient of static friction between the box and the roof of the car is \[0.2\] and \[g=10m{{s}^{-2}}\]The maximum acceleration of the car, for the box to remain stationary is

    A) \[8\,m{{s}^{-2}}\]

    B) \[6\,m{{s}^{-2}}\]

    C) \[4\,m{{s}^{-2}}\]

    D) \[2\,m{{s}^{-2}}\]

    Correct Answer: D

    Solution :

    For the box remains stationary, \[m{{a}_{\max }}=\mu s\,\,mg\]\[\Rightarrow \,{{a}_{\max }}=\mu sg=0.2\times 10m{{s}^{-2}}\]\[=2\,m{{s}^{-2}}\]


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