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Exam20002 - Problem 1(6 Qts A satellite of mass m = 10.0 kg...

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Unformatted text preview: Problem 1. (6 Qts) A satellite of mass m = 10.0 kg is in circular orbit around the Earth, at a height h = 200 km above the surface. The mass ofthe Earth is ME = 5.98 x 1024 kg and its radius is RE = 6370 km. The gravitational constant is G = 6.67 x 10'“ NmZ/kgz. The gravitational acceleration on the surface of the Earth is g = 9.80 m/sz. a) What are the magnitude and direction of the net force on the satellite? Q l“: 6$“(Ok(m+200 km 2 GET—(O lama .: G'E—(XIOM G M m l: : ___._.E_ z . . . \A r 7' magnitude— = 92 N direction : om GM —~ in R1 RE I; z " z ‘A’. J 2 37° RE:- rl m3< '31:) C98 N><64702::V b) What are the magnitude and direction of the acceleration of the sate lite? 0» _ E _ 92 N m icky magnitude = - direction = Clown - c) The satellite is in a free fall. Circle True or False. I True ' (1) Satellite orbits are at least 200 km above the Earth’s surface, so they... (circle one) 1) Escape Earth’ s gravity ® Escape atmospheric drag 3) Escape Earth’s gravity and atmospheric drag 4) Won’t hit the Mt. Everest 5) No particular reason Problem 2. {2 Qts) The acceleration of gravity on the surface of planet X is 8.0 111/32. At what distance r from the center of planet X is the acceleration of gravity 2.0 iii/52? Give the answer in terms of Rx, the radius of planet X. (Example: If the distance is 1.5 times the radius of the planet, then the answer is r = 1.5 Rx.) Note that you do not know the mass of planet X, so knowing G will not help with this problem. FlGMXM r1 M a: G ’ ...
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