JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Self Evaluation Test - Laws of Motion

  • question_answer
    A 600 kg rocket is set for a vertical firing. If the exhaust speed is \[1000\text{ }m{{s}^{-1}}\], the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

    A) \[117.6\text{ kg}{{\text{s}}^{-1}}\]

    B) \[58.6\text{ kg}{{\text{s}}^{-1}}\]

    C) \[6\text{ kg}{{\text{s}}^{-1}}\] 

    D) \[76.4\text{ kg}{{\text{s}}^{-1}}\]

    Correct Answer: C

    Solution :

    [c] \[\text{Thrust }=\frac{udM}{dt}=mg\] \[\Rightarrow \frac{dM}{dt}=\frac{mg}{u}=\frac{600\times 10}{1000}=6\text{ kg}{{\text{s}}^{-1}}\]


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