A gadget of mass 17.52kg floats in space without motion. Because of some internal malfunction the gadget violently breaks up into 3 fragments flying away from each other. The first fragment has a mass m1 = 6.77kg and speed v1 = 6.22 m/s while the second has mass m2 = 5.1kg and speed v2 = 2.87 m/s. The angle between the velocity vectors v1 and v2 is 43. What is the speed of v3 of the thrid fragment?