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A mass m has speed vo at the origin and coasts along the x
Chapter 2, Problem 2.28(choose chapter or problem)
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.
Questions & Answers
QUESTION:
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.
ANSWER:Step 1 of 2
Given that
And,
Therefore,