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# A mass m has speed vo at the origin and coasts along the x

## Problem 2.28 Chapter 2

Classical Mechanics | 0th Edition

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Problem 2.28

A mass m has speed vo at the origin and coasts along the x axis in a medium where the drag force is F(v) = cv312. Use the "v dv/dx rule" (2.86) in 2.12 to write the equation of motion in the separated form m v dvl F (v) = dx, and then integrate both sides to give x in terms of v (or vice versa). Show that it will eventually travel a distance 2m lvo/c.

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