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eNotes Editor
Posted by kjcdb8er on Thursday October 22, 2009 at 11:15 AMF = ma
v = a * t
x = 1/2 a*t^2
(note these equations are only valid for a starting velocity of 0)
We don't know the time the bullet is in the barrel, but we know that t = v/a.
now x = 1/2 a*(v/a)^2 = 1/2 v^2/a or,
a = 1/2 v^2/x = 1/2 (322 m/s)^2/0.75 m = 69 km/s^2
Now, F = ma = 4.4 g * 69 km/s^2 = 304 g km/s^2
Note that g km/s^2 = kg m/s^2 = 1 Newton, so
F = 304 N
