Four inelastic cables C are attached to plate P and hold the 1-ft-long spring 0.25 ft in...

Four inelastic cables C are attached to plate P and hold the 1-ft-long spring 0.25 ft in compression when no weight is on the plate. There is also a 0.5-ft-long undeformed spring nested within this compressed spring. Determine the speed v of the 10-lb block when it is 2 ft above the plate, so that after it strikes the plate, it compresses the nested spring, having a stiffness of 50 lb/in., an amount of 0.20 ft. Neglect the mass of the plate and springs and any energy lost in the collision.