A bullet of mass 30 g is fired from a gun with a muzzle velocity 50 ms --2. Find the recoil of the gun if
its mass is 3 kg.
What is the law of inertia?
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Answer:
Mass of the gun m
1
=3kg
Mass of the bullet m
2
=30 g=0.03 kg
Velocity of bullet v
2
=100 m/s
i) According to the law of conservation momentum
m
1
×v
1
=m
2
×v
2
3×v
1
=0.03×100
Recoil velocity v
1
=
3
100×0.03
=1m/s
ii) Initial velocity of the gun u=0 m/s
Final velocity of the gun v=1m/s
Time t=0.003 s
Acceleration a=
t
v−u
=
0.003
1−0
=
3
1000
m/s
2
Force=m×a=3×
3
1000
=1000N
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