A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3 power of the speed: F(v)=-cv3/2 If the initial speed of the block is vo at x = 0, show that the block cannot travel farther than 2mvo1/2 /c

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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A metal block of mass m slides on a horizontal surface that has been lubricated with a
heavy oil so that the block suffers a viscous resistance that varies as the 3 power of the
speed:

F(v)=-cv3/2
If the initial speed of the block is vo at x = 0, show that the block cannot travel farther than

2mvo1/2 /c

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Transcribed Image Text:INTERNATIO. Google EIT EDITION SEVENTH EDITION ANALYTICAL MECHANICS FOWLES & CASSIDAY
2.11 A metal block of mass m slides on a horizontal surface that has been lubricated with a
heavy oil so that the block suffers a viscous resistance that varies as the power of the
speed:
F(0) = -co2
If the initial speed of the block is vo at x =0, show that the block cannot travel farther than
2mo"lc.
Transcribed Image Text:2.11 A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the power of the speed: F(0) = -co2 If the initial speed of the block is vo at x =0, show that the block cannot travel farther than 2mo"lc.
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