A shell of mass 0.02 kg is fired by a gun of mass 100 kg . If the muzzle speed of the shell is `80ms^(-1)` , What is the recoil speed of the gun ?

Explanation

Here , mass of shell , m = 0.02 kg
mass of gun , M = 100 kg
Muzzle speed of shell , `V=80ms^(-1)`
recoil speed of gun , v = ?
According to the principle of conservation of linear momentum , mV +`Mupsilon=0`
or `v=-(mV)/(M)=(-0.02xx80)/(100)=0.016ms^(-1)`