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

  • question_answer
    A 6000 kg rocket is set for vertical firing. If the exhaust speed is 1000 m/s, how much gas must be ejected each second to supply the thrust needed to overcome the weight of the rocket?

    A)  22.2 m/s             

    B)  37.6 kg/sec

    C)  58.8 kg/sec         

    D)         None of these

    Correct Answer: C

    Solution :

    To overcome the weight of the rocket, magnitude of thrust \[=\] weight of the rocket \[\Rightarrow \]   \[u\frac{dm}{dt}=m0g\] \[\Rightarrow \]   \[\frac{dm}{dt}=\frac{{{m}_{0}}g}{u}=\frac{6000\times 9\cdot 8}{1000}\] \[\Rightarrow \]   \[\frac{dm}{dt}=\mathbf{58}\mathbf{.8}\,\,\mathbf{kg/sec}\]


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