In 1977 the planet Alderaan, with a mass of 3 × 1024 kg, exploded. Assume it was initially at rest and experienced no external interactions. Problem 3.1. 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? Problem 3.2. Consider instead that the planet instead 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 120o relative to the velocity direction of the first fragment. Draw a diagram of this situation. 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.
In 1977 the planet Alderaan, with a mass of 3 × 1024 kg, exploded. Assume it was initially at rest and experienced no external interactions.
Problem 3.1. 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?
Problem 3.2. Consider instead that the planet instead 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 120o relative to the velocity direction of the first fragment. Draw a diagram of this situation. 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.
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