A bullet of mass m is fired from a gun of mass M. If the gun can recoil freely and tire muzzle velocity of tire bullet (velocity relative to the gun as it leaves the barrel) is v0, show that tire actual velocity of the bullet relative to the ground is v0/(1 + γ) and tire recoil velocity for the gun is −γv0/(1 + γ), where γ=m/M.
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