The US 16” MK 7 naval gun fires a 1225 Kg shell at a muzzle velocity of 760 m/s. The mass of the gun and breech is 121 500 Kg. Assume the gun is fired horizontally. a)  What is the recoil speed of the gun? b)  What are the final kinetic energies of the gun and shell? c)  The recoil is damped by a combination of springs and hydraulic cylinders that can be modeled as one large spring as shown below. If the recoil distance is 1.12 m, what is the spring constant of the damping system?

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