(d) Referring to your answer in part (c), explain why the satellite does not fall towards earth as a result of earth’s gravitational pull? (e) Calculate the total energy of the satellite in orbit, using infinity as frame of reference. (f) Calculate the escape velocity to leave earth’s gravitational well.
Just need help with questions d, e and f
A mini satellite weighing 50 kg is going to be launched into an orbit around earth by a
rocket. One sidereal day (period of earth’s self-orbit) is 23 hours, 56 minutes and 4.1
seconds.
(a) The rocket is to be launched from a platform in the Mongolian Plateau with a height
of 3.5 km above earth surface. Calculate the acceleration due to earth’s gravity at
this elevation.
(b) The satellite shall complete 10 orbits in precisely 1 sidereal day. Calculate the
orbital height and orbital velocity of the satellite.
(c) Once the satellite is in this orbit, what is the acceleration due to earth’s gravity
experienced by the satellite?
(d) Referring to your answer in part (c), explain why the satellite does not fall towards
earth as a result of earth’s gravitational pull?
(e) Calculate the total energy of the satellite in orbit, using infinity as frame of
reference.
(f) Calculate the escape velocity to leave earth’s gravitational well.
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