A bullet mass is 15 gm is fired from mass 5 kg with a velocity of 500m calculate the recoil the velocity og the gun and also explain the recoil velocity
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The recoil velocity of the rifle is -0.6 m/s.
This is a conservation of momentum problem. The explosion of the gunpowder is an internal force allowing us to use the conservation of momentum. Initially the rifle and the bullet are at rest.
Σ
p
0
=
Σ
p
f
0
=
m
r
v
r
+
m
b
v
b
0
=
(
5
)
(
v
r
)
+
(
0.015
)
(
200
)
−
3
=
5
v
r
v
r
=
−
0.6
m
s
The negative sign tells us the rifle moves in the opposite direction of the bullet
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