You are Sergei Korolev, chief Soviet rocket scientist, and have developed the bright idea of putting a big hunk of metal and electronics into orbit around Earth. You call it Sputnik 1 (you have apparently already assumed you will have to do this more than once) and wish to place it into a circular orbit 223 km above the earth's surface. What speed (linear velocity), period, and radial (centripetal) acceleration must it have? The earth's radius is 6.38 × 106 m and its mass is 5.98 × 10²4 kg.

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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 27P: The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite....
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You are Sergei Korolev, chief Soviet rocket scientist, and have developed the bright
idea of putting a big hunk of metal and electronics into orbit around Earth. You call it
Sputnik 1 (you have apparently already assumed you will have to do this more than once)
and wish to place it into a circular orbit 223 km above the earth's surface. What speed (linear
velocity), period, and radial (centripetal) acceleration must it have? The earth's radius is
6.38 × 106 m and its mass is 5.98 × 1024 kg.
Transcribed Image Text:You are Sergei Korolev, chief Soviet rocket scientist, and have developed the bright idea of putting a big hunk of metal and electronics into orbit around Earth. You call it Sputnik 1 (you have apparently already assumed you will have to do this more than once) and wish to place it into a circular orbit 223 km above the earth's surface. What speed (linear velocity), period, and radial (centripetal) acceleration must it have? The earth's radius is 6.38 × 106 m and its mass is 5.98 × 1024 kg.
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