Can shotguns recoil really boost you in midair?

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I was wondering for a while, I’ve been playing some movement FPSs so that is what sprouted this idea.

In: Physics

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Anonymous 0 Comments

Guns aren’t too dissimilar from thrusters you expell some mass in one direction and momentum is conserved which kicks you in the opposite direction.

An AK-47 bullet 7.62×39mm has a muzzle velocity of 710 m/s and a mass of 8g (according to Google) which gives us a momentum of 710 m/s × 0.008 kg = 5.68 kgm/s.

Say a human with 80 kg mass sliding at v velocity on a frictionless table would fire a bullet in the sliding direction, at what v would they stop? So p_0 = m_h × v.

p_0 = p_1 + p_b

p_1 = m_h × 0 as they stopped

p_b = 5.68 kgm/s

5.68/80 m/s = v = 7.1 cm/s = 0.2556 km/h

So of course there is knockback but you can see hoe its not that much.

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