In 1977 the planet Alderaan, with a mass of 3 × 1024 kg, exploded. Assuming it was initially at
rest and experienced no external interactions,
A) If the planet blew apart into two pieces with 40% of its mass flying away in one piece at
4,000 km/s, what speed did the rest of the planet have relative to its original frame?
B) If the planet blew apart into three pieces, with 30% of its mass flying away at 3,000 km/s, and
20% of its mass flying away at 5,000 km/s at an angle of 120° relative to the velocity
direction of the first fragment, what velocity did the rest of the planet have? Report the
direction by specifying its angle relative to the velocity direction of the first fragment.