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In this problem, be especially wary of round-off; keep 3 sigfigs in each answer and throughout your calculations.Based on the following data about planet X (which has a circular orbit around the Sun):Planet X’s distance from Sun = 4.8*1012 mPlanet X’s radius = 1.6*106 mPlanet X’s mass = 6.4*1022 kga.) Find gx, the size of the acceleration due to gravity on the surface of Planet X. 1.668m/s2b.) What is the weight of a 10 kg mass on the surface of Planet X? 16.68N(How does this compare to its weight on Earth?)c.) How long would it take for a ball dropped from a height of 2 m to hit the ground? 3.463X s(How does this compare to the time it would take on Earth?)d.) At 2 of Planet X’s radii above the planet’s SURFACE*, what is gx?m/s2e.) For Planet X’s orbit around the Sun, please find:its orbital speed:m/szs/wits centripetal acceleration:f.) How long is a year on Planet X? Express your answers in both seconds and Earth years:SEarth years*Note this word is boldfaced, underlined and capitalized****and asterisked.

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