JEE Main & Advanced Sample Paper JEE Main - Mock Test - 18

  • question_answer
    A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant, the gun fires 10 bullets/second and each of mass 10 g with a velocity of \[500\,\text{m}\,{{\text{s}}^{-1}}\]. The acceleration of the car is

    A) \[0.025\,\text{m}\,{{\text{s}}^{-2}}\]   

    B) \[0.25\,\text{m}\,{{\text{s}}^{-2}}\]

    C) \[0.50\,\text{m}\,{{\text{s}}^{-2}}\]     

    D) \[500\,\text{m}\,{{\text{s}}^{-2}}\]

    Correct Answer: A

    Solution :

    [a] : Here, M = 2000 kg, m = 10 g = 0.01 kg Force on car = rate of change of momentum of bullets \[F=nmv=10\times 0.01\times 500=50N\] \[a=\frac{F}{M}=\frac{50}{2000}=0.025m{{s}^{-2}}\]


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