A shell of mass 0.020 kg is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 ms-1.What is the recoil speed of the gun?
Mass of gun M = 100kg mass of shell m = 0.020kg Velocity of shell v = 80m/s Recoil velocity of Gun V=? initial velocities of both gun and shell will be zero so, the initial momentum of the system will be zero. According to the law of conservation of momentum, Initial momentum = Final momentum so, 0=mv-MV ∴v=mv/M = 1000.020×80 =0.016 m/s ∴recoil velocity of Gun=0.016m/s