A sled and rider totaling 15 kg are placed atop a 12-meter-high hill and are made to compress a spring of spring constant k1 = 19,500 N/m by 35 cm from equilibrium. The sled is then released and slides down the fric- tionless ice-covered hill, across a 4-meter-long patch of rough snow with k = 0.12, s = 0.56. Eight meters after the rough patch is an ice bank at point P. Attached to the ice bank is a spring of spring constant k2 = 10,500 N/m. How many times will the sled and rider go back and forth between the two springs before coming permanently to rest?