Mars has a mass of 6.417*1023 kg, a radius of 3390 km, and a rotation period of 24.62 hours. (a) Calculate the acceleration due to gravity on the surface of Mars. (b) What is the period of a simple pendulum of length 1.000 meters on the surface of Mars? (c) What is the radius of a Mars-synchronous orbit? (d) What is the speed of a satellite in a Mars-synchronous orbit? (e) What launch speed from Mars’s surface is required to get a satellite into Mars-synchronous orbit? You may neglect air resistance and any rotation effects at the Martian surface in your analysis. The universal gravitational constant is G = 6.674*10-11 N m2 kg-2

Mars has a mass of 6.417*1023 kg, a radius of 3390 km, and a rotation period of 24.62 hours. (a) Calculate the acceleration due to gravity on the surface of Mars. (b) What is the period of a simple pendulum of length 1.000 meters on the surface of Mars? (c) What is the radius of a Mars-synchronous orbit? (d) What is the speed of a satellite in a Mars-synchronous orbit? (e) What launch speed from Mars’s surface is required to get a satellite into Mars-synchronous orbit? You may neglect air resistance and any rotation effects at the Martian surface in your analysis. The universal gravitational constant is G = 6.674*10-11 N m2 kg-2

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