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Example: Firing a deer slug.
How much force does a 12 gauge exert on your shoulder when firing a deer slug?
Facts
Mass of gun = 3.5kg
Mass of slug = 0.22kg
Lacking
Approximations & Assumptions
Representations
System: Gun + Slug
Surroundings: Nothing
$$\vec{F}_{net} = \dfrac{\Delta\vec{p}}{\Delta t}$$