A cannon ball with a small explosive charge in it is fired with an initial velocity of 100 m/s at an angle of 30.0 above the eastern horizon. The mass of the cannonball is 5.00 kg. Ignore air resistance. (a) If the explosive charge is never detonated, how far from the cannon will the ball fall? (Assume that the cannon is at ground level.) (b) At the top of the trajectory, the explosive is detonated and the cannonball is split into two fragments of equal mass. The explosion created an approximately constant horizontal force on each fragment of 1000 N for 0.1 s in the East-West direction. Calculate the change in momentum of each fragment. (c) What is the new velocity of each fragment? (d) Will the time that it takes for the projectile to fall to the Earth change because of the explosion? (e) Calculate the total distance between each fragment and the cannon when the fragments hit the ground.

(f) Calculate the position of the center of mass of the two fragments when they hit the ground. (g) How does the center of mass of the exploded cannon ball compare to that of the whole cannon ball. Explain your answer in terms of internal and external forces.