9th Class Science Force and laws of motion Question Bank Force and Laws of Motion

  • question_answer
    A rocket of initial mass 6000 kg ejects mass at a constant rate of 16 kg/sec with constant relative speed of 11 km/sec. What is the acceleration of the rocket a minute after the blast? (Neglect gravity)

    A) \[\text{28}.\text{7 m}/{{\text{s}}^{\text{2}}}\]         

    B)         \[\text{34}.\text{9 m}/{{\text{s}}^{\text{2}}}\]  

    C) \[\text{39}.\text{4 m}/{{\text{s}}^{\text{2}}}\]         

    D)         \[\text{27}.\text{8 m}/{{\text{s}}^{\text{2}}}\]

    Correct Answer: B

    Solution :

     Here, \[\frac{dm}{dt}=16\,\,kg/\sec ,\,\,u=11\,\,km/\sec \]             \[{{m}_{0}}=6000\,\,kg\] and       \[t=1\min =60\sec \] \[\therefore \]Acceleration, \[a=16\times \left[ \frac{11000}{(6000-16\times 60)} \right]\]             \[=\mathbf{34}\mathbf{.9}\,\,\mathbf{m/}{{\mathbf{s}}^{\mathbf{2}}}\]


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