A bullet of mass 10g is fired at a speed of 400m/s from a gun of mass 4 kg. what is the recoil velocity of the gun?
Ans= For bullet,
mass {m1}=10g=10/1000=0.01kg
final velocity{v1}=400m/s
initial velocity{u1}=0m/s
Now,for gun
mass {m2}=4kg
final velocity{v2}=?
initial velocity{u2}=0m/s
Recoil velocity of gun,
total initial momentum = total final momentum
m1u1+m2u2=m1v1+m2v2
0.01(0)+4(0)=0.01(400)+4(v2)
0+0=4+4(v2)
-4(v2)=4
-v2=4/4
-v2=1
v2= -1m/s
Here the negative sign indicates the recoil velocity of the gun tat is 1m/s