Quadratic Drag in One Dimension Consider an object that is dropping quadratic drag force vertically (positive y direction is vertically down) subject to a fdrag = -f(v)v with f(v) cu2. (a) Write down the differential equation from Newton's second law for this object. (b) Show that the terminal speed is vter = (c) Solve for vy in the case of vyo Uter Vmg/c. Hint: You may find the integrals in Appendix E in Thornton & Marion useful (p613). |

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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could part d be answered as the previous question I asked did not contain that answer

Quadratic Drag in One Dimension Consider an object that is dropping
quadratic drag force
vertically (positive y direction is vertically down) subject to a
fdrag = -f(v)v with f(v) cu2.
(a) Write down the differential equation from Newton's second law for this object.
(b) Show that the terminal speed is vter =
(c) Solve for vy in the case of vyo<Uter
(d) Solve for v in the case of vyo> Uter
Vmg/c.
Hint: You may find the integrals in Appendix E in Thornton & Marion useful (p613). |
Transcribed Image Text:Quadratic Drag in One Dimension Consider an object that is dropping quadratic drag force vertically (positive y direction is vertically down) subject to a fdrag = -f(v)v with f(v) cu2. (a) Write down the differential equation from Newton's second law for this object. (b) Show that the terminal speed is vter = (c) Solve for vy in the case of vyo<Uter (d) Solve for v in the case of vyo> Uter Vmg/c. Hint: You may find the integrals in Appendix E in Thornton & Marion useful (p613). |
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