A girl is skipping stones across a lake. One of the stones accidentally ricochets off a toy boat that is initially at rest in the water . The 0.112 kilogram stone strikes the boat at a velocity of 14 m/s, 15 degree below due east, and ricochets off at a velocity of 9 m/s, 12 degree above due east. After being struck by the stone, the boat's velocity is 2.2 m/s, due east. Find the mass of the boat? Suppose the water offers no resistance to the boat's motion.