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Suppose that a planet has a circular orbit around the Sun. The orbital period of the planet is 47 years. Determine the ratio of the planet's orbital radius about the Sun to that of the Earth's orbital radius about the Sun. Assume that the Earth's obit about the Sun is circular. Note that the orbital period of earth is 1.0 year. Please round your answer to the nearest whole number (integer).An aluminum rod is designed to break when it is under a tension of 6,818 N. One end of the rod is connected to a motor and a spherical object with a mass of 47 kg is attached to the other end. When the motor is turned on, the object moves in a horizontal circle with a radius of 5 m. If the speed of the motor is continuously increased, at what speed will the rod break? Ignore the mass of the rod for this calculation. Please round your answer to the nearest whole number (integer).A space station is designed in the shape of a large, hollow doughnut that is uniformly rotating. The outer radius of the station is 3,632 m. With what period must the station rotate so that a person sitting on the outer wall experiences "artificial gravity," i.e. an 2 acceleration of 9.8 m/s-? Please round your answer to the nearest whole number (integer). Equation: Here, equate @ to g = 9.80 m/s2 and solve for the period T