JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    A machine gun of mass \[10\,\,kg\] fires \[30\,\,g\] bullets at the rate of \[6\] bullets/s with a speed of\[400\,\,m/s\]. The force required to keep the gun in position will be

    A) \[30\,\,N\]                         

    B) \[40\,\,N\]

    C)  \[72\,\,N\]                        

    D)  \[400\,\,N\]

    Correct Answer: C

    Solution :

    Given,\[{{m}_{2}}=10\,\,kg;\,\,{{m}_{1}}=30\,\,g,\,\,{{v}_{1}}=400\,\,m/s\] Number of bullets fired/second\[=6\] \[F=?\] We know, \[F=\]rate of change of .linear momentum \[\therefore \]  \[F=\frac{change\,\,in\,\,linear\,\,momentum}{time}\] In\[t=1s,\]total mass of bullets fired                 \[=30\times 6=180\,\,g\]                 \[=180\times {{10}^{-3}}kg\] So,     \[F=\frac{180\times {{10}^{-3}}\times 400}{1}\]                 \[=72\,\,N\]


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