A bullet of mass 10 g is fired from a gun of mass 1 kg with recoil velocity of gun is 5 ~m / s . The muzzle velocity will be

Step-by-step solution

Conservation of linear momentum gives, aligned & m₁ v₁+ m₂ v₂=0 & m₁ v₁=-m₂ v₂ & v₁= -m₂ v₂ m₁ aligned Given, m₁=10 ~g = ( 10 1000 ) kg , m₂=1 ~kg , array ll & v₂=-5 ~m / s & v₁= +1 5 10 / 1000 or & v₁=500 ~m / s array