09. From a rifle of mass 4kg, a bullet of mass 50g is fired with an initial velocity of 35ms^-1 Calculate the initial recoil velocity of the rifle.
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Answer:
The rifle and the bullet make a system. Since, there is no external force acting on it the momentum of the system should be conserved.
∴m
1
u
1
+m
2
u
2
=m
1
v
1
+m
2
v
2
⇒4×0+0
100
50
)×0=4v+
1000
50
×35
⇒4v=−
20
35
⇒v=−
80
35
m/s
Note:- Negative sign indicates that recoil velocity is opposite to the motion of the bullet.
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