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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 power of the speed: F(0)=-c03/2 If the initial speed of the block is vo at x = 0, show that the block cannot travel farther than 2mv2/c.

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)=-c03/2 If the initial speed of the block is vo at x = 0, show that the block cannot travel farther than 2mv2/c.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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: 3/2 F(v)=-co If the initial speed of the block is vo at x = 0, show that the block cannot travel farther than 2mv²/c.
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: 3/2 F(v)=-co If the initial speed of the block is vo at x = 0, show that the block cannot travel farther than 2mv²/c.
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