A 20 kg curling rock was tampered with and some TNT was placed in its center providing 4 184J per g. The rock is initially moving forward at 10 m/s and then the TNT detonates splitting the rock into 3 pieces. An 10 kg pieces flies forward at 50 m/s and a 6 kg piece flies right at 80 m/s. Find the velocity of the 3rd piece and the amount of TNT used to cause this ridiculous sabotage