how to answer the question qualification round Iaac 2020
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Answer:A satellite of mass mS orbits the Earth (with mass mE and radius RE) with a velocity v and an altitude h. The gravitational force FG and the centripetal force FC are given by:
FG =G mS·mE (RE +h)2, FC = mS ·v2 RE +h, G=const.
(a) Find an equation for the kinetic energy in(h) of a satellite with an altitude h.
(b) Based on the kinetic energy,how much liquidhydrogen(energydensity: 106 J/Litre)is atleast needed to bring gas small 1kgsatellite in an orbit of 400 km. (Useliterature to find mE, RE, G.)
Explanation:
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