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.

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.