9th Class Science Force and laws of motion Question Bank Force And Laws Of Motion IIT JEE Objective Problems

  • question_answer
    In a rocket of mass 1000 kg fuel is consumed at a rate of 40 kg/s. The velocity of the gas ejected from the rocket is \[\text{5}\times \text{1}{{0}^{\text{4}}}\] m/s. The thrust on the rocket is

    A)  \[2\times {{10}^{3}}N\]                               

    B)  \[5\times {{10}^{4}}N\]

    C)  \[2\times {{10}^{6}}N\]               

    D)  \[2\times {{10}^{8}}N\]

    Correct Answer: C

    Solution :

       Given, \[m=1000\text{ }kg\] Initial velocity \[(u)=0\] The rate at which fuel is consumed\[\left( \frac{m}{t} \right)=40\,kg/s\] Final velocity \[(v)=5\times {{10}^{4}}\text{ }m/s.\text{ }F=?\] we know, \[F=v\times \frac{m}{t}\] \[\Rightarrow \]\[F=40\times 5\times {{10}^{4}}=2\times {{10}^{6}}N\]


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