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

  • question_answer
    Fuel is consumed at the rate of 100 kg/sec in a rocket. The exhaust gases are ejected at a speed of \[\text{4}.\text{5 }\times \text{ 1}{{0}^{-\text{4}}}\text{ m}/\text{s}\]. Then the thrust experienced by he rocket is

    A) \[\text{4}.\text{5 x 1}{{0}^{\text{6}}}\text{ N}\]         

    B)  \[\text{5}.\text{5 x 1}{{0}^{\text{6}}}\text{ N}\]

    C) \[\text{3}.\text{5 x 1}{{0}^{\text{6}}}\text{ N}\]        

    D)  \[\text{6}.\text{72 x 1}{{0}^{\text{6}}}\text{ N}\]

    Correct Answer: A

    Solution :

     Here, \[\Delta m=100\,\,kg,\,\,\Delta t=1\,\,\sec \], Relative speed of gases\[{{v}_{r}}=4.5\times {{10}^{4}}m/s\] Hence,  Thrust\[={{v}_{r}}.\frac{\Delta m}{\Delta t}\]                      \[=4.5\times {{10}^{4}}\times \frac{100}{1}\] \[=\mathbf{4}.\mathbf{5}\times \mathbf{1}{{\mathbf{0}}^{\mathbf{6}}}\]Newton.


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