Question 1 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.

Question 1 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.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 5STP

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