A day on Splorg lasts the equivalent of 31.7 hours. At the equator, Splorg has a circumference of 54,660 km. It takes a 2 kg mass exactly 0.56 s to fall a distance of 2 m at the surface of Splorg. At what radial distance would you need to orbit a satellite so that it always remained at the same location above the Splorigian equator (i.e. in splorgeosynchronous orbit)? At what velocity does the spacecraft need to reach in order for it to escape the gravity of Splorg.

A day on Splorg lasts the equivalent of 31.7 hours. At the equator, Splorg has a circumference of 54,660 km. It takes a 2 kg mass exactly 0.56 s to fall a distance of 2 m at the surface of Splorg. At what radial distance would you need to orbit a satellite so that it always remained at the same location above the Splorigian equator (i.e. in splorgeosynchronous orbit)? At what velocity does the spacecraft need to reach in order for it to escape the gravity of Splorg.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 17P

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