JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    The machine gun fires 240 bullets per minute. If the mass of each bullet is 10 g and the velocity of the bullets is \[600\,m{{s}^{-1}}\] , the power (in kW) of the gun is:

    A)  43200                         

    B)  432

    C)  72                               

    D)  7.2

    Correct Answer: D

    Solution :

    Work done by the gun = Total kinetic energy of the Bullets \[=n\times \frac{1}{2}m{{v}^{2}}=240\times \frac{1}{2}\times 10\times {{10}^{-3}}{{(600)}^{2}}\] \[=\text{ }120\times 10\times {{10}^{-3}}\times 600\times 600\] \[Power\,of\,gun=\frac{Work\,done}{Time\,Taken}\] \[=\frac{120\times 10\times {{10}^{-3}}\times 600\times 600}{l\,\min }\]  \[=\frac{120\times 10\times 360}{60}=120\times 10\times 6W\] \[=\frac{120\times 10\times 6}{1000}kW=7.2kW\]


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