Why does a gun recoil on firing? Obtain an expression for recoil velocity of gun.
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Answered by
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It recoils due to conservation of momentum of system.
Iniatial momentum of gun = Final momentum of gun
0 = m1v1 + m2v2
v2 = -(m1v1) / m2
(-ve sign because velocity of gun is in opposite direction of bullet)
Recoil velocity = -v2 = (m1v1) / m2
Where
m1 and m2 are masses of bullet and gun respectively
v1 and v2 are velocity of bullet and gun respectively
Iniatial momentum of gun = Final momentum of gun
0 = m1v1 + m2v2
v2 = -(m1v1) / m2
(-ve sign because velocity of gun is in opposite direction of bullet)
Recoil velocity = -v2 = (m1v1) / m2
Where
m1 and m2 are masses of bullet and gun respectively
v1 and v2 are velocity of bullet and gun respectively
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9
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