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You want to hit your friend with water balloons from the roof of a building on a planet with 7 x the mass of Earth and 3 x the radius of Earth which orbits a 3.567 E+30 kg star. Your friend is 5 feet 6.93 inches tall and stands 13 m horizontally away from the building whose roof is 38 feet 4.63 inches from the ground. You use an elastic balloon launcher to hit your friend which consists of 8 springs each with a spring constant of 17 N/m. They are configured so there are 4 sets of 2 in series. These four sets are placed in parallel. Assume the gravitational field strength of Earth is 9.8 N/kg. 4a) How fast will a 1kg water balloon be traveling when leaving the launcher if it is stretched 4.25m? 24.8 m/s 4b) What is the magnitude of the ratio of the radius of orbit cubed over the time for one orbit squared for a different planet in the same solar system as the original planet which has six times the radius and half the mass of the original planet? 6.03E+18 4c) How far away from its star would this planet be if it had the same year as Earth [m]?1.8E+11m

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