A block with mass m = 12 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4236 N/m after being compressed a distance x1 = 0.456 m from the spring's unstretched length. The floor is frictionless except for a rough patch a distance d = 2.4 m long. For this rough path, the coefficient of friction is μk = 0.45. Instead, the spring is only compressed a distance x2 = 0.113 m before being released. How far into the rough path does the block slide before coming to rest?