BHU PMT BHU PMT (Screening) Solved Paper-2008

  • question_answer
    A machine gun is mounted on a 200 kg vehicle on a horizontal smooth road (friction negligible). The gun fires 10 bullets per sec with a velocity of 500 m/s. If the mass of each bullet be 10 g, what is the acceleration produced in the vehicle?

    A) \[25cm/{{s}^{2}}\]          

    B) \[25\text{ r}r/{{s}^{2}}\]

    C)  \[50cm/{{s}^{2}}\]        

    D) \[50\,rr/{{s}^{2}}\]

    Correct Answer: A

    Solution :

                     Momentum carried by each bullet\[=mv\] \[=0.010\times 500\text{ }kg\text{ }m/s\] \[=5\text{ }kg\text{ }m/s\] Now, force = change in momentum in 1 s \[=5\times 10\] \[=50\,N\] Hence, acceleration\[=\frac{50}{200}m/{{s}^{2}}\] \[=25\text{ }cm/{{s}^{2}}\]


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