A ball of mass m = 60 g is shot with speed vi= 7.7 m/s into the barrel of a spring gun of mass M = 240 g initially at rest on a frictionless surface.  The ball sticks in the gun at the point of maximum compression of the spring.  Assume the energy losses to friction are negligible.  If the spring has a spring constant of 700 N/m.  Determine the maximum compression of the spring in cm.

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