If a gun fires 'N' bullets per second each with a velocity u and mass m is the mass of each bullet then the force needed to hold the gun is:
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Explanation:
Initial velocity of bullet u=0
Final velocity of bullet is v
Change in momentum of one bullet ΔP
1
=mv−0=mv
In one second, number of bullets fired is n
So change in momentum of bullets in one second =ΔP=nΔP
1
=mnv
Force exerted on machine gun by bullets F=
Δt
ΔP
⟹ F=
1
mnv
=mnv is the answer
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