A bullet of mass 20g is fired from a gun of 5kg with a speed of 200m/s. Calculate the recoil velocity of the gun.
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A bullet of mass 20g is fired from a gun of 5kg with a speed of 200m/s. Calculate the recoil velocity of the gun.
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Answer:
0.8m/s
Explanation:
Mass of bullet(m1) = 0.02 kg
Mass of gun(m2) = 5kg
Final Velocity of bullet(v1) is 200m/s
Let final velocity of gun be v2 m/s
initially both gun and bullet are at rest so u1 and u2 are 0
Using law of conservation of linear momentum
[tex]m1u1 + m2u2 = m1v1 + m2v2[/tex]
we get
0 = 0.02 × 200 + 5 × v2
==> v2 = - 4/5 = - 0.8 m/s