A 10.0-kg bomb initially at rest on a smooth horizontal surface explodes into three pieces. One piece has mass 3.0 kg with a velocity of 12 m/s [E], and a second has mass 2.0 kg with a velocity of 20.0 m/s [E 60. N]. a. Determine the mass of the third piece. [1 mark] b. Determine the velocity of the third piece. (Hint: what is the momentum of the system initially?) [3 marks] c. What is the change of kinetic energy? [2 mark]