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MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    A metal block of mass 1 kg is resting on a frictionless horizontal plane. It is struck by a jet releasing water at a rate of 1 m/s and at a speed of 4 m/s. Then, the initial acceleration of the block will be

    A)  \[2\text{ }m/{{s}^{2}}\]                               

    B)  \[\text{8 }m/{{s}^{2}}\]

    C)  \[\text{1 }m/{{s}^{2}}\]                               

    D)  \[\text{4 }m/{{s}^{2}}\]

    Correct Answer: D

    Solution :

                    The water jet exerts a force on the block \[F=v=\frac{dm}{dt}=4\times 1=4N\] Under the action of this force, the block of mass 1 kg will move with an acceleration a so that \[F=ma\] \[\Rightarrow \]               \[a=\frac{F}{m}=\frac{4}{1}=4\,m/{{s}^{2}}\]


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