CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    A rocket of initial mass 1000 kg ejects mass at a constant rate of 10 kg/s with constant relative speed of\[11\text{ }m{{s}^{-1}}\]. Neglecting gravity, the acceleration of the rocket 1 min after the blast is:

    A)  \[11/40\,m{{s}^{-2}}\]                 

    B)  \[22/40\,m{{s}^{-2}}\] 

    C)         \[1.1/40\,m{{s}^{-2}}\]

    D)         \[1\,m{{s}^{-2}}\]

    E)  \[11/60\,\,m{{s}^{-2}}\]

    Correct Answer: A

    Solution :

    Acceleration, \[a=\frac{\Delta m}{\Delta t}.\frac{u}{\left( m-\frac{\Delta m}{\Delta t}.t \right)}\] \[=10\times \frac{11}{(1000-10\times 60)}\] \[=\frac{11}{40}m/{{s}^{2}}\]


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