# Escape Speed

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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.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:06 pm ad1c9bdddfhttps://brainmass.com/physics/solar-system/escape-speed-square-root-28828

#### Solution Preview

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 = ...

#### Solution Summary

This solution includes formulas and calculations, including Kepler's second law. The object orbit above the earth's surface is determined.

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