Expanding gases leaving a muzzle

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Homework Statement


The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A .30 caliber bullet has mass 0.0072kg and a speed 0f 601 m/s relative to the muzzle when fired from a rifle that has mass 2.8 kg. The loosely held rifle recoils at a speed of 1.85 m/s relative to the earth. Find the momentum of the propellant gases in a coordinate system attached to the Earth as they leave the muzzle of the rifle.
 
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