Jay and Dave decide that the best way to protest the opening of a new incinerator is to launch a stink bomb into the middle of the ceremony. They calculate that a 6-kg projectile launched with an initial speed of 40 m/s at an angle of 30° will do the trick. The bomb will explode on impact, no one will get hurt, but everyone will stink. Perfect. However, at the top of its flight, the bomb explodes into two fragments, each having a horizontal trajectory. To top it off---this really isn't their day---the 2-kg fragment lands right at the feet of Dave and Jay.

(a) Where does the 4-kg fragment land?

(b) Find the energy of the explosion by comparing the kinetic energy of the projectiles just before and just after the explosion.