Show that escape speed is the square root of 2 times as large as the orbital speed of an object in orbit just above the earth's surface.© BrainMass Inc. brainmass.com February 24, 2021, 2:33 pm ad1c9bdddf
Let Vo be the orbital speed and Ve be the Escape speed.
For the body to orbit the earth, the centrifugal force must balance it's weight. :et it orbit at a distance of one Earth radius Re.
m*Vo^2/Re = ...
This solution includes formulas and calculations, including Kepler's second law. The object orbit above the earth's surface is determined.