1. Tardigrade
  2. Question
  3. Physics
  4. A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant the gun fires bullets of mass 10 gm with a velocity of 500 m/sec with respect to the car. The number of bullets fired per second is ten the average thrust on the system is

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Q. A machine gun is mounted on a $2000 \,kg$ car on a horizontal frictionless surface. At some instant the gun fires bullets of mass $10\, gm$ with a velocity of $500 \,m/sec$ with respect to the car. The number of bullets fired per second is ten the average thrust on the system is

Laws of Motion

Solution:

u = velocity of bullet
$\frac{dm}{dt}$ = Mass thrown per second by the machine gun
= Mass of bullet $\times$ Number of bullet fired per second
$=10\,g\times 10$ bullet/sec $= 100\,g/sec=0.1\,kg/sec$
$\therefore $ Thrust $=\frac{u\,dm}{dt}=500 \times 0.1 $
$=50\,N$